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Artykuły w czasopismach na temat "Scale Flapping Wing"

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Malhan, Ria, Moble Benedict i Inderjit Chopra. "Experimental Studies to Understand the Hover and Forward Flight Performance of a MAV-Scale Flapping Wing Concept". Journal of the American Helicopter Society 57, nr 2 (1.04.2012): 1–11. http://dx.doi.org/10.4050/jahs.57.022003.

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Systematic experimental studies were performed to understand the role of two key degrees of freedom, flapping and pitching, in aerodynamic performance of a flapping wing, in both hover and forward flight. Required flapping kinematics is prescribed mechanically, and dynamic pitching/twisting is obtained passively using inertial and aerodynamic forces. Forces produced by the wing are measured at the root using a six-component balance at different flapping frequencies, flapping/pitching amplitudes, and wind speeds. The results clearly show that maximum average thrust over a flap cycle in hover can be achieved using symmetric, high amplitude passive pitching. However, in forward flight, optimum aerodynamic performance (lift and propulsive thrust) is obtained using asymmetric wing pitching with low pitching amplitudes. Furthermore, dynamic twisting (obtained using flexible wings), instead of dynamic pitching, produces better performance in forward flight due to spanwise and temporal modulation of the wing pitch angle. Pure flapping (no pitching) of rigid wings in forward flight at high reduced frequencies and high pitch angles produces a threefold increase in lift coefficient over static values. Maximum average propulsive thrust over a flap cycle in forward flight is obtained using symmetric pitching. To produce high values of both, average lift and thrust, an asymmetry in kinematics along with pitching is required in forward flight. This can be achieved either through asymmetric pitching of rigid wings or dynamic twisting of torsionally flexible wings.
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Hawkes, Elliot W., i David Lentink. "Fruit fly scale robots can hover longer with flapping wings than with spinning wings". Journal of The Royal Society Interface 13, nr 123 (październik 2016): 20160730. http://dx.doi.org/10.1098/rsif.2016.0730.

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Hovering flies generate exceptionally high lift, because their wings generate a stable leading edge vortex. Micro flying robots with a similar wing design can generate similar high lift by either flapping or spinning their wings. While it requires less power to spin a wing, the overall efficiency depends also on the actuator system driving the wing. Here, we present the first holistic analysis to calculate how long a fly-inspired micro robot can hover with flapping versus spinning wings across scales. We integrate aerodynamic data with data-driven scaling laws for actuator, electronics and mechanism performance from fruit fly to hummingbird scales. Our analysis finds that spinning wings driven by rotary actuators are superior for robots with wingspans similar to hummingbirds, yet flapping wings driven by oscillatory actuators are superior at fruit fly scale. This crossover is driven by the reduction in performance of rotary compared with oscillatory actuators at smaller scale. Our calculations emphasize that a systems-level analysis is essential for trading-off flapping versus spinning wings for micro flying robots.
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Meresman, Yonatan, i Gal Ribak. "Allometry of wing twist and camber in a flower chafer during free flight: How do wing deformations scale with body size?" Royal Society Open Science 4, nr 10 (październik 2017): 171152. http://dx.doi.org/10.1098/rsos.171152.

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Intraspecific variation in adult body mass can be particularly high in some insect species, mandating adjustment of the wing's structural properties to support the weight of the larger body mass in air. Insect wings elastically deform during flapping, dynamically changing the twist and camber of the relatively thin and flat aerofoil. We examined how wing deformations during free flight scale with body mass within a species of rose chafers (Coleoptera: Protaetia cuprea ) in which individuals varied more than threefold in body mass (0.38–1.29 g). Beetles taking off voluntarily were filmed using three high-speed cameras and the instantaneous deformation of their wings during the flapping cycle was analysed. Flapping frequency decreased in larger beetles but, otherwise, flapping kinematics remained similar in both small and large beetles. Deflection of the wing chord-wise varied along the span, with average deflections at the proximal trailing edge higher by 0.2 and 0.197 wing lengths compared to the distal trailing edge in the downstroke and the upstroke, respectively. These deflections scaled with wing chord to the power of 1.0, implying a constant twist and camber despite the variations in wing and body size. This suggests that the allometric growth in wing size includes adjustment of the flexural stiffness of the wing structure to preserve wing twist and camber during flapping.
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Shyy, Wei, Chang-kwon Kang, Pakpong Chirarattananon, Sridhar Ravi i Hao Liu. "Aerodynamics, sensing and control of insect-scale flapping-wing flight". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, nr 2186 (luty 2016): 20150712. http://dx.doi.org/10.1098/rspa.2015.0712.

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There are nearly a million known species of flying insects and 13 000 species of flying warm-blooded vertebrates, including mammals, birds and bats. While in flight, their wings not only move forward relative to the air, they also flap up and down, plunge and sweep, so that both lift and thrust can be generated and balanced, accommodate uncertain surrounding environment, with superior flight stability and dynamics with highly varied speeds and missions. As the size of a flyer is reduced, the wing-to-body mass ratio tends to decrease as well. Furthermore, these flyers use integrated system consisting of wings to generate aerodynamic forces, muscles to move the wings, and sensing and control systems to guide and manoeuvre. In this article, recent advances in insect-scale flapping-wing aerodynamics, flexible wing structures, unsteady flight environment, sensing, stability and control are reviewed with perspective offered. In particular, the special features of the low Reynolds number flyers associated with small sizes, thin and light structures, slow flight with comparable wind gust speeds, bioinspired fabrication of wing structures, neuron-based sensing and adaptive control are highlighted.
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Goszczyński, Jacek A., Maciej Lasek, Józef Pietrucha i Krzysztof Sibilski. "ANIMALOPTERS-TOWARDS A NEW DIMENSION OF FLIGHT MECHANICS". TRANSPORT 17, nr 3 (30.06.2002): 108–16. http://dx.doi.org/10.3846/16483840.2002.10414023.

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Recently, it has been recognised that flapping wing propulsion can be more efficient than conventional propellers if applied to very small-scale vehicles, so-called MAVs (micro air vehicles). Extraordinary possibilities of such objects, particularly in the context of special missions, are discussed. Flapping flight is more complicated than flight with fixed or rotating wings. Therefore, there is a need to understand the mechanisms of force generation by flapping wings in a more comprehensive way. The paper describes the current work on flapping wing conducted by the Flying amp;Swimming Puzzle Group. The key to understand the mechanisms of flapping flight is the adequate physical and mathematical modelling; modelling problems of flow and motion are emphasised. Sample calculations illustrating current capabilities of the method have been performed. The effect of feathering amplitude, flapping amplitude, and phase shifting on the MAV&s control effectiveness has been examined. It has been discovered that the parameters mentioned above can be considered as control parameters of “flapping wing” MAVs, especially in lateral direction. Research programmes for the construction of MAYs concentrate on understanding the mechanisms of animal flight and on creating smart structures which would enable flight in micro-scale.
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Liu, Guangze, Song Wang i Wenfu Xu. "Flying State Sensing and Estimation Method of Large-Scale Bionic Flapping Wing Flying Robot". Actuators 11, nr 8 (31.07.2022): 213. http://dx.doi.org/10.3390/act11080213.

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A large bionic flapping wing robot has unique advantages in flight efficiency. However, the fluctuation of fuselage centroid during flight makes it difficult for traditional state sensing and estimation methods to provide stable and accurate data. In order to provide stable and accurate positioning and attitude information for a flapping wing robot, this paper proposes a flight state sensing and estimation method integrating multiple sensors. Combined with the motion characteristics of a large flapping wing robot, the autonomous flight, including the whole process of takeoff, cruise and landing, is realized. An explicit complementary filtering algorithm is designed to fuse the data of inertial sensor and magnetometer, which solves the problem of attitude divergence. The Kalman filter algorithm is designed to estimate the spatial position and speed of a flapping wing robot by integrating inertial navigation with GPS (global positioning system) and barometer measurement data. The state sensing and estimation accuracy of the flapping wing robot are improved. Finally, the flying state sensing and estimation method is integrated with the flapping wing robot, and the flight experiments are carried out. The results verify the effectiveness of the proposed method, which can provide a guarantee for the flapping wing robot to achieve autonomous flight beyond the visual range.
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Chen, Yufeng, Cathleen Arase, Zhijian Ren i Pakpong Chirarattananon. "Design, Characterization, and Liftoff of an Insect-Scale Soft Robotic Dragonfly Powered by Dielectric Elastomer Actuators". Micromachines 13, nr 7 (18.07.2022): 1136. http://dx.doi.org/10.3390/mi13071136.

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Dragonflies are agile and efficient flyers that use two pairs of wings for demonstrating exquisite aerial maneuvers. Compared to two-winged insects such as bees or flies, dragonflies leverage forewing and hindwing interactions for achieving higher efficiency and net lift. Here we develop the first at-scale dragonfly-like robot and investigate the influence of flapping-wing kinematics on net lift force production. Our 317 mg robot is driven by two independent dielectric elastomer actuators that flap four wings at 350 Hz. We extract the robot flapping-wing kinematics using a high-speed camera, and further measure the robot lift forces at different operating frequencies, voltage amplitudes, and phases between the forewings and hindwings. Our robot achieves a maximum lift-to-weight ratio of 1.49, and its net lift force increases by 19% when the forewings and hindwings flap in-phase compared to out-of-phase flapping. These at-scale experiments demonstrate that forewing–hindwing interaction can significantly influence lift force production and aerodynamic efficiency of flapping-wing robots with passive wing pitch designs. Our results could further enable future experiments to achieve feedback-controlled flights.
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Chen, Yufeng, Nick Gravish, Alexis Lussier Desbiens, Ronit Malka i Robert J. Wood. "Experimental and computational studies of the aerodynamic performance of a flapping and passively rotating insect wing". Journal of Fluid Mechanics 791 (15.02.2016): 1–33. http://dx.doi.org/10.1017/jfm.2016.35.

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Flapping wings are important in many biological and bioinspired systems. Here, we investigate the fluid mechanics of flapping wings that possess a single flexible hinge allowing passive wing pitch rotation under load. We perform experiments on an insect-scale (${\approx}1$ cm wing span) robotic flapper and compare the results with a quasi-steady dynamical model and a coupled fluid–structure computational fluid dynamics model. In experiments we measure the time varying kinematics, lift force and two-dimensional velocity fields of the induced flow from particle image velocimetry. We find that increasing hinge stiffness leads to advanced wing pitching, which is beneficial towards lift force production. The classical quasi-steady model gives an accurate prediction of passive wing pitching if the relative phase difference between the wing stroke and the pitch kinematics,${\it\delta}$, is small. However, the quasi-steady model cannot account for the effect of${\it\delta}$on leading edge vortex (LEV) growth and lift generation. We further explore the relationships between LEV, lift force, drag force and wing kinematics through experiments and numerical simulations. We show that the wing kinematics and flapping efficiency depend on the stiffness of a passive compliant hinge. Our dual approach of running at-scale experiments and numerical simulations gives useful guidelines for choosing wing hinge stiffnesses that lead to efficient flapping.
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Conn, A. T., S. C. Burgess i C. S. Ling. "Design of a parallel crank-rocker flapping mechanism for insect-inspired micro air vehicles". Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 221, nr 10 (30.09.2007): 1211–22. http://dx.doi.org/10.1243/09544062jmes517.

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In the current paper, a novel micro air vehicle (MAV) flapping mechanism for replicating insect wing kinematics is presented. Insects flap their wings in a complex motion that enables them to generate several unsteady aerodynamic mechanisms, which are extremely beneficial for lift production. A flapping wing MAV that can reproduce these aerodynamic mechanisms in a controlled manner is likely to outperform alternative flight platforms such as rotary wing MAVs. A biomimetic design approach was undertaken to develop a novel flapping mechanism, the parallel crank-rocker (PCR). Unlike several existing flapping mechanisms (which are compared using an original classification method), the PCR mechanism has an integrated flapping and pitching output motion which is not constrained. This allows the wing angle of attack, a key kinematic parameter, to be adjusted and enables the MAV to enact manoeuvres and have flight stability. Testing of a near-MAV scale PCR prototype using a high-speed camera showed that the flapping angle and adjustable angle of attack both closely matched predicted values, proving the mechanism can replicate insect wing kinematics. A mean lift force of 3.35 g was measured with the prototype in a hovering orientation and flapping at 7.15 Hz.
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Yang, Xuan, Aswathi Sudhir, Atanu Halder i Moble Benedict. "Nonlinear Aeroelastic Analysis for Highly Flexible Flapping Wing in Hover". Journal of the American Helicopter Society 67, nr 2 (1.04.2022): 1–15. http://dx.doi.org/10.4050/jahs.67.022002.

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Aeromechanics of highly flexible flapping wings is a complex nonlinear fluid–structure interaction problem and, therefore, cannot be analyzed using conventional linear aeroelasticity methods. This paper presents a standalone coupled aeroelastic framework for highly flexible flapping wings in hover for micro air vehicle (MAV) applications. The MAV-scale flapping wing structure is modeled using fully nonlinear beam and shell finite elements. A potential-flow-based unsteady aerodynamic model is then coupled with the structural model to generate the coupled aeroelastic framework. Both the structural and aerodynamic models are validated independently before coupling. Instantaneous lift force and wing deflection predictions from the coupled aeroelastic simulations are compared with the force and deflection measurements (using digital image correlation) obtained from in-house flapping wing experiments at both moderate (13 Hz) and high (20 Hz) flapping frequencies. Coupled trim analysis is then performed by simultaneously solving wing response equations and vehicle trim equations until trim controls, wing elastic response, inflow and circulation converge all together. The dependence of control inputs on weight and center of gravity (cg) location of the vehicle is studied for the hovering flight case.
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Rozprawy doktorskie na temat "Scale Flapping Wing"

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Nabawy, Mostafa. "Design of insect-scale flapping wing vehicles". Thesis, University of Manchester, 2015. https://www.research.manchester.ac.uk/portal/en/theses/design-of-insectscale-flapping-wing-vehicles(5720b8af-a755-4c54-beb6-ba6ef1a13168).html.

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This thesis contributes to the state of the art in integrated design of insect-scale piezoelectric actuated flapping wing vehicles through the development of novel theoretical models for flapping wing aerodynamics and piezoelectric actuator dynamics, and integration of these models into a closed form design process. A comprehensive literature review of available engineered designs of miniature rotary and flapping wing vehicles is provided. A novel taxonomy based on wing and actuator kinematics is proposed as an effective means of classifying the large variation of vehicle configurations currently under development. The most successful insect-scale vehicles developed to date have used piezoelectric actuation, system resonance for motion amplification, and passive wing pitching. A novel analytical treatment is proposed to quantify induced power losses in normal hover that accounts for the effects of non uniform downwash, wake periodicity and effective flapping disc area. Two different quasi-steady aerodynamic modelling approaches are undertaken, one based on blade element analysis and one based on lifting line theory. Both approaches are explicitly linked to the underlying flow physics and, unlike a number of competing approaches, do not require empirical data. Models have been successfully validated against experimental and numerical data from the literature. These models have allowed improved insight into the role of the wing leading-edge vortex in lift augmentation and quantification of the comparative contributions of induced and profile drag for insect-like wings in hover. Theoretical aerodynamic analysis has been used to identify a theoretical solution for the optimum planform for a flapping wing in terms of chord and twist as a function of span. It is shown that an untwisted elliptical planform minimises profile power, whereas a more highly tapered design such as that found on a hummingbird minimises induced power. Aero-optimum wing kinematics for hovering are also assessed. It is shown that for efficient flight the flapping velocity should be constant whereas for maximum effectiveness the flapping velocity should be sinusoidal. For both cases, the wing pitching at stroke reversal should be as rapid as possible. A dynamic electromechanical model of piezoelectric bending actuators has been developed and validated against data obtained from experiments undertaken as part of this thesis. An expression for the electromechanical coupling factor (EMCF) is extracted from the analytical model and is used to understand the influence of actuator design variables on actuator performance. It is found that the variation in EMCF with design variables is similar for both static and dynamic operation, however for light damping the dynamic EMCF will typically be an order of magnitude greater than for static operation. Theoretical contributions to aerodynamic and electromechanical modelling are integrated into a low order design method for propulsion system sizing. The method is unique in that aside from mass fraction estimation, the underlying models are fully physics based. The transparency of the design method provides the designer with clear insight into effects of changing core design variables such as the maximum flapping amplitude, wing mass, transmission ratio, piezoelectric characteristics on the overall design solution. Whilst the wing mass is only around 10% of the actuator mass, the effective wing mass is 16 times the effective actuator mass for a typical transmission ratio of 10 and hence the wing mass dominates the inertial contribution to the system dynamics. For optimum aerodynamic effectiveness and efficiency it is important to achieve high flapping amplitudes, however this is typically limited by the maximum allowable field strength of the piezoelectric material used in the actuator.
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Whitney, John Peter. "Design and Performance of Insect-Scale Flapping-Wing Vehicles". Thesis, Harvard University, 2012. http://dissertations.umi.com/gsas.harvard:10374.

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Micro-air vehicles (MAVs)—small versions of full-scale aircraft—are the product of a continued path of miniaturization which extends across many fields of engineering. Increasingly, MAVs approach the scale of small birds, and most recently, their sizes have dipped into the realm of hummingbirds and flying insects. However, these non-traditional biologically-inspired designs are without well-established design methods, and manufacturing complex devices at these tiny scales is not feasible using conventional manufacturing methods. This thesis presents a comprehensive investigation of new MAV design and manufacturing methods, as applicable to insect-scale hovering flight. New design methods combine an energy-based accounting of propulsion and aerodynamics with a one degree-of-freedom dynamic flapping model. Important results include analytical expressions for maximum flight endurance and range, and predictions for maximum feasible wing size and body mass. To meet manufacturing constraints, the use of passive wing dynamics to simplify vehicle design and control was investigated; supporting tests included the first synchronized measurements of real-time forces and three-dimensional kinematics generated by insect-scale flapping wings. These experimental methods were then expanded to study optimal wing shapes and high-efficiency flapping kinematics. To support the development of high-fidelity test devices and fully-functional flight hardware, a new class of manufacturing methods was developed, combining elements of rigid-flex printed circuit board fabrication with "pop-up book" folding mechanisms. In addition to their current and future support of insect-scale MAV development, these new manufacturing techniques are likely to prove an essential element to future advances in micro-optomechanics, micro-surgery, and many other fields.
Engineering and Applied Sciences
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Chirarattananon, Pakpong. "Flight Control of a Millimeter-Scale Flapping-Wing Robot". Thesis, Harvard University, 2014. http://nrs.harvard.edu/urn-3:HUL.InstRepos:13070057.

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Flying insects display remarkable maneuverability. Unlike typical airplanes, these insects are able to execute an evasive action, rapidly change their flight speed and direction, or leisurely land on flowers buffeted by wind, exhibiting aerodynamic feats unmatched by any state-of-the-art aircraft. By subtly tuning their wing motions, they generate and manipulate unsteady aerodynamic phenomenon that is the basis of their extraordinary maneuverability. Inspired by these tiny animals, scientists and engineers have pushed the boundaries of technology in many aspects, including meso-scale fabrication, electronics, and artificial intelligence, to develop autonomous millimeter-scale flapping-wing robots. In this thesis, we demonstrate, on real insect-scale robots, that using only an approximate model of the aerodynamics and flight dynamics in combination with conventional tools in nonlinear control, the inherently unstable flapping-wing robot can achieve steady hover. We present the development of flight controllers that gradually enhance the flight precision, allowing the robot to realize increasingly aggressive trajectories, including a highly acrobatic maneuver---perching on a vertical surface, as observed in its natural counterparts. We also demonstrate that these experiments lead to higher fidelity of in-flight aerodynamic models, strengthening our understanding of the dynamics of the robot and real insects.
Engineering and Applied Sciences
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Ma, Kevin Yuan. "Mechanical design and manufacturing of an insect-scale flapping-wing robot". Thesis, Harvard University, 2015. http://nrs.harvard.edu/urn-3:HUL.InstRepos:23845433.

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Despite the prevalence of insect flight as a form of locomotion in nature, manmade aerial systems have yet to match the aerial prowess of flying insects. Within a tiny body volume, flying insects embody the capabilities to flap seemingly insubstantial wings at very high frequencies and sustain beyond their own body weight in flight. A precise authority over their wing motions enables them to respond to obstacles and threats in flight with unrivaled speed and grace. Motivated by a desire for comparably agile flying machines, research efforts in the last decade have generated crucial developments for realizing an artificial instantiation of insect flight. The need for tiny, high-efficiency mechanical components has produced unconventional solutions for propulsion, actuation, and manufacturing. Early vehicle designs proved to be flightworthy but were critically limited by the inability to produce control torques in flight. In this thesis, we synthesize all existing technologies for insect-scale manufacturing and actuation, and we introduce a new vehicle design, the "dual actuator bee," to address the need for flight control. Our work culminates in the first demonstration of controlled, hovering flight of an insect-scale, flapping-wing robot. As the ultimate goal for this research effort is the creation of fully autonomous flying robots, these vehicles must sustain their own power sources and intelligence. To that end, we explore the challenges of scaling flapping-wing flight to attain greater lift forces. Using a scaling heuristic to determine key vehicle specifications, we develop and successfully demonstrate a hover-capable vehicle design that possesses the requisite payload capacity for the full suite of components required for control autonomy. With this operational vehicle as a point of reference, we introduce an iterative sizing procedure for specifying a vehicle design with payload capacity capable of supporting power autonomy. In the development of these vehicles, the reliability of their construction has been a substantial challenge. We present strategies for systematically addressing issues of vehicle construction. Together, this suite of results demonstrates the feasibility of achieving artificial, insect-like flight.
Engineering and Applied Sciences - Engineering Sciences
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Svanberg, Craig E. "Biomimetic micro air vehicle testing development and small scale flapping-wing analysis /". Wright-Patterson Air Force Base, Ohio : Ft. Belvior, VA : Springfield, Va. : Air Force Institute of Technology, Graduate School of Engineering and Management ; Available to the public through the Defense Technical Information Center ; National Technical Information Service [distributor], 2008. http://www.dtic.mil/dtic/.

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Thesis (M.S. in Engineering and Management)--Air Force Institute of Technology, March 2008.
Title from reproduction cover. "March 2008." Thesis advisor: Dr. Mark Reeder. Performed by the Air Force Institute of Technology, Graduate School of Engineering and Management (AFIT/EN); sponsored by the Air Force Research Laboratory. Submitted in partial fulfillment of the requirements for the degree of Master of Science in Aeronautical Engineering from the Air Force Institute of Technology, March 2008.--P. [ii]. "AFIT/GAE/ENY/08-M27." Includes bibliographical references (p. 99-100). Also available online from the DTIC Online Web site.
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Teoh, Zhi Ern. "Design of Hybrid Passive and Active Mechanisms for Control of Insect-Scale Flapping-Wing Robots". Thesis, Harvard University, 2015. http://nrs.harvard.edu/urn-3:HUL.InstRepos:23845481.

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Flying insects exhibit a remarkable ability to fly in environments that are small, cluttered and highly dynamic. Inspired by these animals, scientist have made great strides in understanding the aerodynamic mechanisms behind insect-scale flapping-wing flight. By applying these mechanisms together with recent advances in meso-scale fabrication techniques, engineers built an insect-scale flapping-wing robot and demonstrated hover by actively controlling the robot about its roll and pitch axes. The robot, however, lacked control over its yaw axis preventing control over its heading angle. In this thesis, we show that the roll and pitch axes of a single actuator insect-scale flapping-wing robot can also be passively stabilized by the addition of a pair of aerodynamic dampers. We develop design guidelines for these dampers, showing that the previously unstable robot with the addition of the dampers is able to perform stable vertical flights and altitude control. To address the lack of yaw control, we develop a yaw torque generating mechanism inspired by the fruit fly wing hinge. We present the development of this mechanism in three stages: from the conceptual stage, to the torque measurement stage and finally to a hover capable stage. We show that the robot is able to generate sufficient yaw torque enabling the robot to transition from hover to heading control maneuvers.
Engineering and Applied Sciences - Engineering Sciences
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Timmerman, Kathleen M. "A Hardware Compact Genetic Algorithm for Hover Improvement in an Insect-Scale Flapping-Wing Micro Air Vehicle". Wright State University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=wright1347296530.

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Mukherjee, Sujoy. "Structural Modeling And Analysis Of Insect Scale Flapping Wing". Thesis, 2012. https://etd.iisc.ac.in/handle/2005/2021.

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Micro Air Vehicles (MAVs) are defined as a class of vehicles with their larger dimension not exceeding 15 cm and weighing 100 gm. The three main approaches for providing lift for such vehicles are through fixed, rotating and flapping wings. The flapping wing MAVs are more efficient in the low Reynolds-number regime than conventional wings and rotors. Natural flapping flyers, such as birds and insects, serve as a natural source of inspiration for the development of MAV. Flapping wing design is one of the major challenges to develop an MAV because it is not only responsible for the lift, but also propulsion and maneuvers. Two important issues are addressed in this thesis: (1) an equivalent beam-type modeling of actual insect wing is proposed based on the experimental data and (2) development of the numerical framework for design and analysis of insect scale smart flapping wing. The experimental data is used for structural modeling of the blowfly Calliphora wing as a stepped cantilever beam with nine spanwise sections of varying mass per unit lengths, flexural rigidity (EI) and torsional rigidity (GJ) values. Natural frequencies, both in bending and torsion, are obtained by solving the homogeneous part of the respective governing differential equations using the finite element method. It is found that natural frequency in bending and torsion are 3.17 and 1.57 times higher than flapping frequency of Calliphora wing, respectively. The results provide guidelines for the biomimetic structural design of insect-scale flapping wings. In addition to the structural modeling of the insect wing, development of the biomimetic mechanisms played a very important role to achieve a deeper insight of the flapping flight. Current biomimetic flapping wing mechanisms are either dynamically scaled or rely on pneumatic and motor-driven flapping actuators. Unfortunately, these mechanisms become bulky and flap at very low frequency. Moreover, mechanisms designed with conventional actuators lead to high weight and system-complexity which makes it difficult to mimic the complex wingbeat kinematics of the natural flyers. The usage of the actuator made of smart materials such as ionic polymer metal composites (IPMCs) and piezoceramics to design flapping wings is a potential alternative. IPMCs are a relatively new type of smart material that belongs to the family of Electroactive Polymers (EAP) which is also known as “artificial muscles”. In this work, structural modeling and aerodynamic analysis of a dragonfly inspired IPMC flapping wing are performed using numerical simulations. An optimization study is performed to obtain improved flapping actuation of the IPMC wing. Later, a comparative study of the performances of three IPMC flapping wings having the same size as the actual wings of three different dragonfly species Aeshna Multicolor, Anax Parthenope Julius and Sympetrum Frequens is conducted. It is found that the IPMC wing generates sufficient lift to support its own weight and carry a small payload. In addition to the IPMC, piezoelectric materials are also considered to design a dragonfly inspired flapping wing because they have several attractive features such as high bandwidth, high output force, compact size and high power density. The wings of birds and insects move through a large angle which may be obtained using piezofan through large deflection. Piezofan which is one of the simple motion amplifying mechanisms couples a piezoelectric unimorph to an attached flexible wing and is competent to produce large deflection especially at resonance. Non-linear dynamic model for the piezoelectrically actuated flapping wing is done using energy method. It is shown that flapping angle variations of the smart flapping wing are similar to the actual dragonfly wing for a specific feasible voltage. Subsequently, a comparative study of the performances of three piezoelectrically actuated flapping wings is performed. Numerical results show that the flapping wing based on geometry of dragonfly Sympetrum Frequens wing is suitable for low speed flight and it represents a potential candidate for use in insect scale micro air vehicles. In this study, single crystal piezoceramic is also considered for the flapping wing design because they are the potential new generation materials and have attracted considerable attention due to superior electromechanical properties. It is found that the use of single crystal piezoceramic can lead to considerable amount of wing weight reduction and increase of aerodynamic forces compared to conventional piezoelectric materials such as PZT-5H. It can also be noted that natural fliers flap their wings in a vertical plane with a change in the pitch of the wings during a flapping cycle. In order to capture this particular feature of the wingbeat kinematics, coupled flapping-twisting non-linear dynamic modeling of piezoelectrically actuated flapping wing is done using energy method. Excitation by the piezoelectric harmonic force generates only the flap bending motion, which in turn, induces the elastic twist motion due to interaction between flexural and torsional vibrations modes. It is found that the value of average lift reaches to its maximum when the smart flapping wing is excited at a frequency closer to the natural frequency in torsion. Moreover, consideration of the elastic twisting of flapping wing leads to an increase in the lift force.
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Mukherjee, Sujoy. "Structural Modeling And Analysis Of Insect Scale Flapping Wing". Thesis, 2012. http://etd.iisc.ernet.in/handle/2005/2021.

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Micro Air Vehicles (MAVs) are defined as a class of vehicles with their larger dimension not exceeding 15 cm and weighing 100 gm. The three main approaches for providing lift for such vehicles are through fixed, rotating and flapping wings. The flapping wing MAVs are more efficient in the low Reynolds-number regime than conventional wings and rotors. Natural flapping flyers, such as birds and insects, serve as a natural source of inspiration for the development of MAV. Flapping wing design is one of the major challenges to develop an MAV because it is not only responsible for the lift, but also propulsion and maneuvers. Two important issues are addressed in this thesis: (1) an equivalent beam-type modeling of actual insect wing is proposed based on the experimental data and (2) development of the numerical framework for design and analysis of insect scale smart flapping wing. The experimental data is used for structural modeling of the blowfly Calliphora wing as a stepped cantilever beam with nine spanwise sections of varying mass per unit lengths, flexural rigidity (EI) and torsional rigidity (GJ) values. Natural frequencies, both in bending and torsion, are obtained by solving the homogeneous part of the respective governing differential equations using the finite element method. It is found that natural frequency in bending and torsion are 3.17 and 1.57 times higher than flapping frequency of Calliphora wing, respectively. The results provide guidelines for the biomimetic structural design of insect-scale flapping wings. In addition to the structural modeling of the insect wing, development of the biomimetic mechanisms played a very important role to achieve a deeper insight of the flapping flight. Current biomimetic flapping wing mechanisms are either dynamically scaled or rely on pneumatic and motor-driven flapping actuators. Unfortunately, these mechanisms become bulky and flap at very low frequency. Moreover, mechanisms designed with conventional actuators lead to high weight and system-complexity which makes it difficult to mimic the complex wingbeat kinematics of the natural flyers. The usage of the actuator made of smart materials such as ionic polymer metal composites (IPMCs) and piezoceramics to design flapping wings is a potential alternative. IPMCs are a relatively new type of smart material that belongs to the family of Electroactive Polymers (EAP) which is also known as “artificial muscles”. In this work, structural modeling and aerodynamic analysis of a dragonfly inspired IPMC flapping wing are performed using numerical simulations. An optimization study is performed to obtain improved flapping actuation of the IPMC wing. Later, a comparative study of the performances of three IPMC flapping wings having the same size as the actual wings of three different dragonfly species Aeshna Multicolor, Anax Parthenope Julius and Sympetrum Frequens is conducted. It is found that the IPMC wing generates sufficient lift to support its own weight and carry a small payload. In addition to the IPMC, piezoelectric materials are also considered to design a dragonfly inspired flapping wing because they have several attractive features such as high bandwidth, high output force, compact size and high power density. The wings of birds and insects move through a large angle which may be obtained using piezofan through large deflection. Piezofan which is one of the simple motion amplifying mechanisms couples a piezoelectric unimorph to an attached flexible wing and is competent to produce large deflection especially at resonance. Non-linear dynamic model for the piezoelectrically actuated flapping wing is done using energy method. It is shown that flapping angle variations of the smart flapping wing are similar to the actual dragonfly wing for a specific feasible voltage. Subsequently, a comparative study of the performances of three piezoelectrically actuated flapping wings is performed. Numerical results show that the flapping wing based on geometry of dragonfly Sympetrum Frequens wing is suitable for low speed flight and it represents a potential candidate for use in insect scale micro air vehicles. In this study, single crystal piezoceramic is also considered for the flapping wing design because they are the potential new generation materials and have attracted considerable attention due to superior electromechanical properties. It is found that the use of single crystal piezoceramic can lead to considerable amount of wing weight reduction and increase of aerodynamic forces compared to conventional piezoelectric materials such as PZT-5H. It can also be noted that natural fliers flap their wings in a vertical plane with a change in the pitch of the wings during a flapping cycle. In order to capture this particular feature of the wingbeat kinematics, coupled flapping-twisting non-linear dynamic modeling of piezoelectrically actuated flapping wing is done using energy method. Excitation by the piezoelectric harmonic force generates only the flap bending motion, which in turn, induces the elastic twist motion due to interaction between flexural and torsional vibrations modes. It is found that the value of average lift reaches to its maximum when the smart flapping wing is excited at a frequency closer to the natural frequency in torsion. Moreover, consideration of the elastic twisting of flapping wing leads to an increase in the lift force.
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Swarrup, J. Sakthi. "Ionic Polymer Metal Composite Actuators for Insect Scale Flapping Wing Micro Air Vehicle". Thesis, 2015. https://etd.iisc.ac.in/handle/2005/4812.

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Flapping wing micro air vehicles (MAV) have broad applications such as exploration in hazardous environment, reconnaissance, search and rescue. Ionic polymer metal composites (IPMC) have emerged as a promising material in actuators and sensors for use in flapping wing of MAVs. Though IPMC satifis es most of the criteria needed for bio-inspired design, achieving high stiffness, actuation force, frequency and flapping angle remains a challenge. The main objective of this thesis is to study the various factors which influence the actuation performance of IPMC by mathematical modelling, optimize design parameters for fabrication of high performing IPMC, design an actuator-sensor array of IPMCs and fabrication of hybrid IPMC-polymer structure as dragon y scale flapping wing of micro air vehicles. The dynamic mathematical modelling of IPMC is carried out by variational principle using the Buechler and Leo model and the performance of model actuators is studied. The structural modelling of nanocomposite-based IPMC has been carried out to study the e ect of inherent properties of the materials used in IPMC fabrication. The studies reveal that the nanocomposite-based IPMC, IPMNC-RuO2/Na on and IPMNC-LbL CNC having low thickness and high Youngs modulus can be actuated for higher deflection at typical flapping frequencies (40-47 Hz). The structural modelling of unencapsulated IPMCs (u-IPMC) intended for use under dry and humid environment is carried out for optimization of design parameters for retention of water and to study the influence of water activity on the actuation. IPMC designed with Na on having equivalent weight 900-1100, preheated at 30 C and sodium cation is more promising for optimum retention of water and actuation. For operation in these environments, the actuation parameters can be tuned to the desirable level by changing the water activity and temperature of the user environment. For the design of dragon y size flapping wing, the flexural stiffness of IPMC should be comparable to that of the actual insect wing for proper flapping motion at higher flapping angle and deflection. Therefore, structural modelling of dragon y scale IPMC is carried out. The IPMC actuator [IPMNCRuO 2/Na on with thickness 450 m (Na on 400 m and both electrodes 50 m ), resonant frequency 31.5 Hz, Youngs modulus 2 GPa, mass 378 mg] modelled in dragon y species, Sympetrum Frequens, shows better flapping and actuation than the other insect scale actuators. In structural design of insect scale flapping wing, the attachment of wing on the IPMC actuator as an array of actuator-sensor may lead to self-powered flapping. The influence of attachment of wing on the actuator on the actuation force and frequency to lift and flap the attached wing is studied. High frequency (20 Hz) actuator (170 mg semi wet) with an attached mass equivalent to the wing mass, produced higher actuation force, with reasonable frequency and deflection. The studies on the dragon y scale flapping wing fabricated with IPMC-cyclic ole n copolymer (COC) membrane based hybrid structure and the performance of various wing confi gurations reveal that high frequency IPMC actuator fi tted with the high modulus COC membrane with two-vein confi guration (leading edge and centre of the wing) is the more promising structure as dragon y scale flapping wing. In conclusion, with the analysis and design presented in this thesis, the optimized design and material parameters of IPMC can be exploited for increased actuation performance at the dragon y (Sympetrum Frequens) insect size. The high frequency IPMC can act as flapping wing with capabilities of a sensor. The hybrid structure comprising high frequency IPMC actuator fitted with the high modulus COC polymer membrane is a promising flapping wing. The output voltage of IPMC wing could indicate the level of actuation performance of the wing at different conditions such as change in temperature, humidity or water content. Moreover, the actuator-sensor array can also help to predict the environmental conditions and also used as an input for control algorithms.
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Książki na temat "Scale Flapping Wing"

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Skarsgard, Andrew Jonathan. The implementation of flapping-wing propulsion for a full-scale ornithopter. [Downsview, Ont.]: Department of Aerospace Science and Engineering, University of Toronto, 1991.

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Skarsgard, Andrew Jonathan. The implementation of flapping-wing propulsion for a full-scale ornithopter. Ottawa: National Library of Canada = Bibliothèque nationale du Canada, 1992.

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Fowler, Stuart Jardim. The design and development of a wing for a full-scale piloted engine-powered flapping-wing aircraft (Ornithopter). Ottawa: National Library of Canada, 1995.

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Hahne, David E. Full-scale semispan tests of a business-jet wing with a natural laminar flow airfoil. Hampton, Va: Langley Research Center, 1991.

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Full-scale semispan tests of a business-jet wing with a natural laminar flow airfoil. [Washington, D.C.]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1991.

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Full-scale semispan tests of a business-jet wing with a natural laminar flow airfoil. [Washington, D.C.]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1991.

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Części książek na temat "Scale Flapping Wing"

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Yao, Jie, i K. S. Yeo. "The Effect of Wing Mass and Wing Elevation Motion During Insect Forward Flight". W Supercomputing Frontiers, 31–42. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-10419-0_3.

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AbstractThis paper is concerned with the numerical simulation of the forward flight of a high Reynolds number flapping-wing flyer, modelled after the hummingbird hawkmoth (Macroglossum stellatarum). The numerical model integrated a Navier-Stokes solver with the Newtonian free-body dynamics of the model insect. The primary cyclic kinematics of wings were assumed to be sinusoidal for simplicity here, which comprises sweeping, elevating and twisting related wing actions. The free flight simulation is very computationally intensive due to the large mesh scale and the iterative solution for the FSI problem, so parallelization is essential in the numerical simulation. Two parallelization techniques are used in current simulation, i.e., open multi-processing (OpenMP) and graphics processing units (GPU) acceleration. The forward flight mainly consists of two stages, i.e., the body pitching down from the normal hovering posture and the following forward acceleration. During this process, the effect of the wing mass and the wing elevation motion is very important, which is investigated in detail. It is found that Oval-shaped wing elevating motion can help to generate large pitching down moment so that the flyer can quickly adjust its orientation for forward acceleration. Moreover, wing mass tends to magnify the effect and prohibits the growth of pitching down velocity, which is favourable aspect. The present study provides detailed information of the coupled dynamics of fluid and flyer in free flight condition, as well as offers a prospective approach that could complement existing experiments in a wider study of insect flight and maneuver.
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Moses, Kenneth C., Nathaniel I. Michaels, Joel Hauerwas, Mark Willis i Roger D. Quinn. "An Insect-Scale Bioinspired Flapping-Wing-Mechanism for Micro Aerial Vehicle Development". W Biomimetic and Biohybrid Systems, 589–94. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-63537-8_54.

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Grondel, Sébastien, Mathieu Colin, Marie Zwingelstein-Colin, Sofiane Ghenna, Caroline Soyer, Eric Cattan i Olivier Thomas. "Towards the Use of Flapping Wing Nano Aerial Vehicles". W Modern Technologies Enabling Safe and Secure UAV Operation in Urban Airspace. IOS Press, 2021. http://dx.doi.org/10.3233/nicsp210006.

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In the last decade, the potential of Micro Aerial Vehicles (MAVs) has generated an enormous interest in this technology and numerous applications have therefore been proposed in military and civilian fields. More recently, researchers have begun to work on a new and miniaturized generation called Flapping Wing Nano Aerial Vehicles (FWNAVs) who could be particularly promising for the indoor inspection. Before to be able to use efficiently these FWNAVs, there are however significant scientific and technical challenges to solve due to the scaling down. These include aerodynamics of low Reynolds number flow, small-scale power generation and power storage, navigation and communication, propulsion and control as well as manufacturability. This paper sets out the potential applications of such FWNAVs and reviews some of the challenges related to aerodynamics, stability, and design trends.
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Altenbuchner, Cornelia, i James E. Hubbard. "Flexible Multi-Body Dynamics Modeling Methodology Implementation Avian Scale Flapping Wing Flyer". W Modern Flexible Multi-Body Dynamics Modeling Methodology for Flapping Wing Vehicles, 73–107. Elsevier, 2018. http://dx.doi.org/10.1016/b978-0-12-814136-6.00004-4.

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Altenbuchner, Cornelia, i James E. Hubbard. "Aerodynamics Modeling for Flexible Multi-Body Dynamics Modeling Methodology Implementation Avian Scale Flapping Wing Flyer". W Modern Flexible Multi-Body Dynamics Modeling Methodology for Flapping Wing Vehicles, 109–27. Elsevier, 2018. http://dx.doi.org/10.1016/b978-0-12-814136-6.00005-6.

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Altenbuchner, Cornelia, i James E. Hubbard. "Concluding Remarks About Modern Modeling Methodology Implementation and Flight Physics of Avian Scale Flight Robotics Systems". W Modern Flexible Multi-Body Dynamics Modeling Methodology for Flapping Wing Vehicles, 155–61. Elsevier, 2018. http://dx.doi.org/10.1016/b978-0-12-814136-6.00007-x.

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Lovejoy, Shaun. "Macroweather predictions and climate projections". W Weather, Macroweather, and the Climate. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780190864217.003.0011.

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“Does the Flapping of a Butterfly’s Wings in Brazil Set off a Tornado in Texas?” This was the provocative title of an address given by Edward Lorenz, the origin for the (nearly) household expression “butterfly effect.” It was December 1972 and it had been nearly ten years since he had discovered it,1 yet its significance was only then being recognized. Lorenz explained: “In more technical language, is the behavior of the atmosphere unstable to small perturbations?” His answer: “Although we cannot claim to have proven that the atmosphere is unstable, the evidence that it is so is overwhelming.” Imagine two planets identical in every way except that on one there is a butterfly that flaps its wings. The butterfly effect means that their future evolutions are “sensitively dependent” on the initial conditions, so that a mere flap of a wing could perturb the atmosphere sufficiently so that, eventually, the weather patterns on the two planets would evolve quite differently. On the planet with the Brazilian butterfly, the number of tornadoes would likely be the same. But on a given day, one might occur in Texas rather than Oklahoma. This sensitive dependence on small perturbations thus limits our ability to predict the weather. For Earth, Lorenz estimated this predictability limit to be about two weeks. From Chapters 4 and 5 and the discussion that follows, we now understand it as the slightly shorter weather– macroweather transition scale. In Chapter 1, we learned that the ratio of the nonlinear to linear terms in the (deterministic) equations governing the atmosphere is typically about a thou­sand billion. The nonlinear terms are the mathematical expressions of physical mechanisms that can blow up microscopic perturbations into large effects. Therefore, we expect instability. Chapter 4, we examined instability from the point of view of the higher level statistical laws— the fact that, at weather scales, the fluctuation exponents H for all atmospheric fields are positive (in space, up to the size of the planet; in time, up to the weather– macroweather transition scale at five to ten days).
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Streszczenia konferencji na temat "Scale Flapping Wing"

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Mukherjee, Sujoy, i Ranjan Ganguli. "Piezoelectrically actuated insect scale flapping wing". W SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, redaktor Mehrdad N. Ghasemi-Nejhad. SPIE, 2010. http://dx.doi.org/10.1117/12.846484.

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Chirarattananon, Pakpong, Kevin Y. Ma, Richard Cheng i Robert J. Wood. "Wind disturbance rejection for an insect-scale flapping-wing robot". W 2015 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). IEEE, 2015. http://dx.doi.org/10.1109/iros.2015.7353355.

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Wood, Robert J., Benjamin Finio, Michael Karpelson, Nestor O. Pérez-Arancibia, Pratheev Sreetharan i John P. Whitney. "Challenges for micro-scale flapping-wing micro air vehicles". W SPIE Defense, Security, and Sensing, redaktorzy Thomas George, M. Saif Islam i Achyut Dutta. SPIE, 2012. http://dx.doi.org/10.1117/12.918154.

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Han, Jong-Seob, Jong-Wan Lee i Jae-Hung Han. "Towing Tank Experiments for Flapping-Wing Aerodynamics". W ASME 2017 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/fedsm2017-69566.

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This paper presents an empirical approach for flapping-wing aerodynamics using a servo-driven towing tank and a dynamically scale-up robotic manipulator. Time-varying aerodynamic force and moment were measured, and digital particle image velocimetry in multiple cross-sections were conducted. Three case studies showed that the towing tank experiment could be an effective way to investigate the aerodynamic characteristics in detail, which are difficult to be predicted by other conventional approaches. The force and moment measurements clarified that an advance ratio has significant role in governing the LEV behavior and consequent aerodynamic performance of flapping wings. Results for moving sideways showed the effects of the wing-wing and wing-body interaction, and the usefulness of the towing tank experiments for analyzing the flight dynamic characteristics. It was also shown that the towing tank experiments can be applicable to realistic wing motions; test results using the wing kinematics of a living insect in forward flight were well compatible with the trim condition of the insect.
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Hall, Asha J., i Jaret C. Riddick. "Active Bend-Twist PZT Actuator for Centimeter-Scale Flapping Wing Micro-Air Vehicle". W ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2011. http://dx.doi.org/10.1115/smasis2011-5085.

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The present study focuses on development of a flapping wing micro-air vehicle (FWMAV) that employs a piezoelectric actuator to drive the leading edge of the wing. An analysis of insect flight indicates that in addition to the bending excitation (flapping), simultaneous excitation of the twisting degree-of-freedom is required to adequately manipulate the control surface. A functionally-modified piezoelectric bimorph composed of Pb(Zr0.55Ti0.45)O3 (PZT) is being used to produce two degree-of-freedom motion, namely the flapping and twisting facilitated by an off-axis layer of piezoelectric segments affixed to the top surface of a traditional bimorph actuator. The modification of the top surface of a traditional PZT bimorph actuator introduces active bend-twist coupling to the flexural response of the resulting layered PZT. This paper presents analytical and experimental investigation of functionally-modified bimorph designs intended for active bend-twist actuation of cm-scale flapping wing devices.
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Vejdani, Hamid R. "Dynamics and stability of Bat-Scale Flapping Wing Hovering Robot". W 2019 IEEE 15th International Conference on Automation Science and Engineering (CASE). IEEE, 2019. http://dx.doi.org/10.1109/coase.2019.8843318.

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Riddick, Jaret C., i Asha Hall. "Functionally modified bimorph PZT actuator for cm -scale flapping wing". W SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, redaktorzy Zoubeida Ounaies i Stefan S. Seelecke. SPIE, 2011. http://dx.doi.org/10.1117/12.880587.

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Lambert, Thomas, i Grigorios Dimitriadis. "Experimental analysis of a large-scale tandem flapping wing system". W AIAA SCITECH 2023 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2023. http://dx.doi.org/10.2514/6.2023-2462.

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Jankauski, Mark A. "Low-Order Aeroelastic Modeling of Flapping, Flexible Wings". W ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85150.

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Flapping insect wings deform under aerodynamic and inertial-elastic loads. Existing aeroelastic wing models are computationally expensive, and consequently, the physics governing flexible wing deformation are not well understood. This paper develops a low-order, one-way coupled aeroelastic model of an arbitrary geometry wing undergoing three-dimensional rotation. The model is developed using the Lagrangian formulation and generalized aerodynamic loads are determined through a blade-element-momentum approach. The in-air and in-vacuum responses of a simulated Hawkmoth wing are compared for various conditions. During normal flight, simulation results show aerodynamic loading causes a 25% increase in maximum wingtip deflection versus a wing flapping in vacuum. This suggests aerodynamics plays a moderate role in structural deformation. Further parametric studies indicate (1) deviations in flap frequency excite torsional resonance and (2) the relative phase between pitch and roll rotations dramatically affects in-air wing response. Both the aeroelastic model and simulation results can guide optimal wing design for small-scale flapping wing micro air vehicles.
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Fan, Xiaozhou, Kenneth Breuer i Hamid Vejdani. "Wing Fold and Twist Greatly Improves Flight Efficiency for Bat-Scale Flapping Wing Robots". W 2021 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). IEEE, 2021. http://dx.doi.org/10.1109/iros51168.2021.9636735.

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Raporty organizacyjne na temat "Scale Flapping Wing"

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Riddick, Jaret C., i Asha Hall. Three-Dimensional Bending Analysis of Functionally-Modified Bimorph PZT Actuator for cm-Scale Flapping Wing. Fort Belvoir, VA: Defense Technical Information Center, lipiec 2011. http://dx.doi.org/10.21236/ada546404.

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Kroninger, Christopher, Jeffrey Pulskamp, Jessica Bronson, Ronald G. Polcawich i Eric Wetzel. Bio-Mimetic Millimeter-Scale Flapping Wings for Micro Air Vehicles. Fort Belvoir, VA: Defense Technical Information Center, marzec 2009. http://dx.doi.org/10.21236/ada496241.

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Kroninger, Christopher, Jeffrey Pulskamp, Ronald G. Polcawich i Eric Wetzel. Bio-mimetic Millimeter-scale Flapping Wings for Micro Air Vehicles, Year II. Fort Belvoir, VA: Defense Technical Information Center, kwiecień 2010. http://dx.doi.org/10.21236/ada522227.

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