Relevant bibliographies by topics / Mechanical resonantor

Academic literature on the topic 'Mechanical resonantor'

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Published: 4 June 2021
Last updated: 29 January 2023

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Journal articles on the topic "Mechanical resonantor"

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Jia, Yu Bin. "Mechanical Analysis of Vibrating-Beam Resonantor Accelerometer." Advanced Materials Research 645 (January 2013): 373–76. http://dx.doi.org/10.4028/www.scientific.net/amr.645.373.

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Based on the change of the length for the vibrating-beam, the potential energy stored in the system and the force function are presented. Then the sensor parameters and nonlinear factor are defined and calculated. From this, the mechanical parameters of the vibrating beam can be modeled, and the formulae of the frequency is derived as the function of the external axial acceleration and amplitude, and the mode of a single-degree elastic oscillator is set up. These results are the theoretical bases of developing the vibrating-beam-type accelerometer.
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WAKE, GEOFFREY W., EMIL J. HOPFINGER, and GREGORY N. IVEY. "Experimental study on resonantly forced interfacial waves in a stratified circular cylindrical basin." Journal of Fluid Mechanics 582 (June 14, 2007): 203–22. http://dx.doi.org/10.1017/s002211200700585x.

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Laboratory experiments have been performed on resonantly forced interfacial waves in a circular cylindrical basin containing a two-layer stratified fluid. The results of this shallow-water study exhibit a number of similarities to previous shallow-water studies performed in single-layer fluids, such as the generation of a large-amplitude response over a frequency bandwidth offset from the primary resonance, generation of a swirling mode at the observed resonant condition, and the significant contribution of higher harmonics. The two-layer experiments also produce results that are unique to stratified domains. In particular, the observed negative nonlinearity of the resonant condition at shallow water depth, mixing of the density interface resulting in detuning the forced response from the resonant condition, the enhanced role of viscous dissipation, and an alternative pathway for the nonlinear generation of higher-frequency waves when the layer depths are disparate. The results of this study are considered with regard to their implications for enclosed basins at the geophysical scale that are subject to near resonant forcing.
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Hu, Shanting, Xiaodong Gu, Masanori Nakahama, and Fumio Koyama. "Non-mechanical beam scanner based on VCSEL integrated amplifier with resonant wavelength detuning design." Chinese Optics Letters 19, no. 12 (2021): 121403. http://dx.doi.org/10.3788/col202119.121403.

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Bondar, R. P. "RESONANT MODES OF A LINEAR PERMANENT MAGNET VIBRATORY MOTOR." Tekhnichna Elektrodynamika 2022, no. 4 (July 4, 2022): 28–35. http://dx.doi.org/10.15407/techned2022.04.028.

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The work considers the resonant operation modes of the linear permanent magnet vibratory motor. On the basis of electrical and mechanical equivalent circuits with lumped parameters, expressions for determining the frequencies of mechanical, electrical, energy and power resonances are obtained. The presence of two frequencies of electrical resonance (when the phases of supply voltage and motor current coincide) in a single-mass electromechanical system and four in a two-mass one is substantiated. Representing, according to the electromechanical analogy approach, the back EMF induced due to the movement of the mover by the corresponding voltage drop, expressions for equivalent mechanical impedances are obtained. The dependences of the energy characteristics of the motor (mechanical work and efficiency) on the equivalent circuit parameters are obtained. Based on the expression for the reluctance electromagnetic force, mechanical work is found and its dependence on the phase difference between displacement and current is shown. The phase difference at which the total mechanical work of the motor is maximal is determined. It is shown that the results of the analysis of resonant modes well agree with results of a numerical field study carried out on the basis of the equations of the quasi-stationary magnetic field in the time domain using the finite element method and the moving type of calculation mesh in the mover region. References 12, figures 6, tables 1.
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Narayanan, A., and K. V. L. Subramaniam. "Damage assessment in concrete structures using piezoelectric based sensors." Revista ALCONPAT 7, no. 1 (January 31, 2017): 25–35. http://dx.doi.org/10.21041/ra.v7i1.173.

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Damage assessment in concrete structures using piezoelectric based sensorsABSTRACTPiezoelectric based PZT (Lead Zirconate Titanate) smart sensors offer significant potential for continuously monitoring the development and progression of internal damage in concrete structures. Changes in the resonant behavior in the measured electrical conductance obtained from electro-mechanical (EM) response of a PZT bonded to a concrete substrate is investigated for increasing levels of damage. Changes in the conductance resonant signature from EM conductance measurements are detected before visible signs of cracking. The root mean square deviation of the conductance signature at resonant peaks is shown to accurately reflect the level of damage in the substrate. The findings presented here provide a basis for developing a sensing methodology using PZT patches for continuous monitoring of concrete structures.Keywords: PZT; electro-mechanical impedance; conductance; microcracks.Evaluación de daños en estructuras de concreto utilizando sensores piezoeléctricosRESUMENLos sensores inteligentes PZT (Lead Zirconate Titanate) basados en piezoeléctricos ofrecen un potencial significativo para monitorear continuamente el desarrollo y la progresión de los daños internos en estructuras de concreto. Se investigan los cambios en el comportamiento resonante a través de la conductancia eléctrica medida, obtenida a partir de la respuesta electromecánica (EM) de un PZT unido a un sustrato de concreto para aumentar los niveles de daño. Los cambios en la resonancia de la conductancia EM se detectan antes de que aparezcan signos visibles de agrietamiento. La desviación cuadrática media de la raíz de la conductancia en los picos resonantes refleja con precisión el nivel de daño en el sustrato. Los hallazgos presentados aquí proporcionan una base para desarrollar una metodología de detección utilizando parches PZT para el monitoreo continuo de estructuras de concreto.Palabras clave: PZT; impedancia electromecánica; conductancia; microfisuras.Avaliação de danos em estruturas de concreto usando sensores piezoelétricos RESUMOOs sensores piezoelétricos inteligentes PZT (Lead Zirconate Titanate) oferecem um potencial significativo para o monitoramento contínuo do desenvolvimento e progressão de danos internos em estruturas de concreto. As alterações de ressonância através da medida da condutância elétrica obtida a partir da resposta eletromecânica (EM) de um PZT ligado a um substrato de concreto é investigada para níveis crescentes de danos. As alterações no perfil de ressonância de condutância EM são detectadas antes de sinais visíveis de fissuras. O desvio quadrático médio da raiz do perfil de condutância nos picos ressonantes é mostrado para refletir com precisão o nível de dano no substrato. Os resultados aqui apresentados fornecem uma base para o desenvolvimento de uma metodologia de detecção usando PZT para monitoramento contínuo de estruturas de concretoPalavras chave: PZT; impedância eletromecânica; condutância; microfissuras.
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Gaeta, G., and G. Pucacco. "Near-resonances and detuning in classical and quantum mechanics." Mathematics in Engineering 5, no. 1 (2022): 1–44. http://dx.doi.org/10.3934/mine.2023005.

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<abstract><p>From the point of view of perturbation theory, (perturbations of) near-resonant systems are plagued by small denominators. These do not affect (perturbations of) fully resonant systems; so it is in many ways convenient to approximate near resonant systems as fully resonant ones, which correspond to considering the "detuning" as a perturbation itself. This approach has proven very fruitful in Classical Mechanics, but it is also standard in (perturbations of) Quantum Mechanical systems. Actually, its origin may be traced back (at least) to the Rayleigh-Ritz method for computing eigenvalues and eigenvectors of perturbed matrix problems. We will discuss relations between these approaches, and consider some case study models in the different contexts.</p></abstract>
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Bonetti, E., E. G. Campari, L. Pasquini, and L. Savini. "Automated resonant mechanical analyzer." Review of Scientific Instruments 72, no. 4 (April 2001): 2148–52. http://dx.doi.org/10.1063/1.1357235.

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Gogoi, Niharika, Jie Chen, Jens Kirchner, and Georg Fischer. "Dependence of Piezoelectric Discs Electrical Impedance on Mechanical Loading Condition." Sensors 22, no. 5 (February 22, 2022): 1710. http://dx.doi.org/10.3390/s22051710.

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The piezoelectric effect, along with its associated materials, fascinated researchers in all areas of basic sciences and engineering due to its interesting properties and promising potentials. Sensing, actuation, and energy harvesting are major implementations of piezoelectric structures in structural health monitoring, wearable devices, and self-powered systems, to name only a few. The electrical or mechanical impedance of its structure plays an important role in deriving its equivalent model, which in turn helps to predict its behavior for any system-level application, such as with respect to the rectifiers containing diodes and switches, which represent a nonlinear electrical load. In this paper, we study the electrical impedance response of different sizes of commercial piezoelectric discs for a wide range of frequencies (without and with mechanical load for 0.1–1000 kHz with resolution 20 Hz). It shows significant changes in the position of resonant frequency and amplitude of resonant peaks for different diameters of discs and under varying mechanical load conditions, implying variations in the mechanical boundary conditions on the structure. The highlight of our work is the proposed electrical equivalent circuit model for varying mechanically loaded conditions with the help of impedance technique. Our approach is simple and reliable, such that it is suitable for any structure whose accurate material properties and dimensions are unknown.
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Ilic, B., D. Czaplewski, H. G. Craighead, P. Neuzil, C. Campagnolo, and C. Batt. "Mechanical resonant immunospecific biological detector." Applied Physics Letters 77, no. 3 (July 17, 2000): 450–52. http://dx.doi.org/10.1063/1.127006.

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Ozaki, Takashi, Norikazu Ohta, and Motohiro Fujiyoshi. "Highly Linear and Wide Non-Resonant Two-Degree-of-Freedom Piezoelectric Laser Scanner." Sensors 22, no. 11 (June 1, 2022): 4215. http://dx.doi.org/10.3390/s22114215.

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Laser scanners with mechanically driven mirrors have exhibited increasing potential for various applications, such as displays and laser radar. Resonant scanners are the predominantly used scanners; however, non-resonant scanners are required for applications where point-to-point driving is desirable. Because a non-resonant drive cannot amplify the drive angle owing to the resonance phenomenon, high values are difficult to achieve for the main performance metrics of the scanners: mirror area, drive angle, and operating frequency. In this paper, we present a two-axis scanner with a piezoelectric actuator made of a piezoelectric single-crystal Pb(In1/2Nb1/2)O3-Pb(Mg1/3Nb2/3)O3-PbTiO3 as the actuation force source. The scanner contains a circular mirror with a diameter of 7 mm and achieves an average static mechanical deflection angle amplitude of 20.8° in two axes with a resonant frequency of 559 Hz. It is equipped with a transmission mechanism that can decouple each axis to achieve high linearity; in our study, the nonlinearity error was less than 1°.
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Dissertations / Theses on the topic "Mechanical resonantor"

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Slagmolen, Bram Johannes Jozef, and BRAM SLAGMOLEN@ANU EDU AU. "Direct Measurement of the Spectral Distribution of Thermal Noise." The Australian National University. Faculty of Science, 2005. http://thesis.anu.edu.au./public/adt-ANU20051128.104552.

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This thesis investigates the direct measurement of the thermal noise spectral distribution. Long base line gravitational wave detectors, being commissioned around the world, are limited in sensitivity in the intermediate frequencies by the thermal noise. These detectors are utilising suspended test mirrors for the detection of gravitational waves by measuring their relative displacement. One of the fundamental noise sources in these detectors is the thermally induced displacement of the suspension onto and within the mirrors. This thermally induced motion of the test mirrors limits the displacement sensitivity of the gravitational wave detectors. Knowledge of the spectral behavior of thermal noise over a wide frequency range will improve predictions and understanding of the behavior of the suspension and test mirrors.¶ In this thesis the direct measurement of the thermal noise spectral distribution of a mechanical flexure resonator is described. The mechanical flexure resonator is an unidirectional ’wobbly table’ made from copper-beryllium, which hinges around four thin flexures 15 mm wide, 1 mm high and ~116 µm thick. The mechanical flexure resonator has a resonant frequency of 192 Hz, with a quality factor of ~3000.¶ The thermal noise induced displacement of the mechanical flexure resonator was measured using an optical cavity. The end mirror of a two mirror optical cavity was mounted on the mechanical flexure resonator. A laser was made resonant with the test cavity by use of a locking control system. Thermal noise induced displacement moved the test cavity away from resonance. By measuring the error-signal in the control system, the equivalent thermal noise displacement was obtained.¶ The thermal noise induced displacement of the mechanical flexure resonator was predicted to be in the order of 10^(−12) to 10^(−17) m/sqrtHz over a frequency range of 10 Hz to 10 kHz. All other external noise sources needed to be suppressed to below this level. A major noise source was the laser frequency fluctuations. When the test cavity was locked to the laser, the laser frequency fluctuations dominated the read out signal. To suppress the frequency fluctuations, the laser was locked to a rigid long optical reference cavity. This allowed the frequency fluctuations to be suppressed to below the equivalent thermal noise displacement of the test cavity over the frequency range of interest.¶ Acoustic noise was suppressed by placing the whole experiment inside a vacuum chamber, and evacuating the air inside the chamber down to a pressure level of 10^(−4) mbar. A seismic vibration isolation system was used to suppress the seismic noise in the laboratory to below 10^(−14) m/sqrtHz at frequencies above 4 Hz.¶ With the experimental set up, the thermal noise displacement of the mechanical flexure resonator has been measured. Due to the degradation of the isolator performance, measurement of the thermal noise behavior over a wide frequency range of the mechanical flexure resonator was unsuccessful. By using an analytical curve fitting routine around the fundamental and first order resonant modes of the resonator, a loss factor of (3.5 ± 1.5 − 3.7 ± 1.5) × 10^(−4) for the copper-beryllium mechanical flexure resonator was obtained and structural damping was inferred.
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Arab, Hassani Faezeh. "Resonant nano-electro-mechanical sensors for molecular mass-detection." Thesis, University of Southampton, 2012. https://eprints.soton.ac.uk/336335/.

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This research is conducted as a part of EU FP7 project entitled NEMSIC (hybrid nanoelectro-mechanical/integrated circuit systems for sensing and power management applications) with project partners, EPFL, TU Delft, IMEC-NL, CEA-LETI, SCIPROM, IMEC-BE, Honeywell Romania, and HiQSCREEN. Nano-electro-mechanical (NEM) sensors are getting an increased interest because of their compatibility with “In-IC” integration, low power consumption and high sensitivity to applied force, external damping or additional mass. Today, commercial biosensors are developed based on mass-detection and electro-mechanical principles. One of the recent commercial mass-detection biosensors is a quartz crystal microbalance (QCM) biosensor which achieves the mass sensitivity of a few tens pico g/Hz. The newly developed in-plane resonant NEM (IP R-NEM) sensor in this thesis achieves the mass sensitivity less than zepto g/Hz that is over nine orders smaller than that of the commercial QCM sensor using a much smaller sensing area compared to the QCM sensor. This fact will make the IP-RNEM sensor a world-unique sensor that shows a very high sensitivity to a very small change in mass. The stated mass sensitivity is achieved by modelling the functionalization and detection processes of the suspended beam. For modelling the linker molecules in the functionalization process, a conformal coating layer in different configurations are added to the suspended beam and the sparse distribution of target molecules in the detection process is modeled by changing the density of the coating layer. I would like to clarify that the scaling rule of the mass responsivity is given by k4 regardless of the different functionalization configurations. I develop a completely new hybrid NEM-MOS simulation technology which combines three-dimensional finite element method (3D FEM) based NEM device-level simulation and circuit-level simulation for NEM-MOS hybrid circuits. The FEM device-level simulation module also includes new modelling of selfassembled monolayer for surface functionalization as well as adsorb ed molecules to be detected and facilitates quantitative evaluation of mass responsivity of designed NEM sensor devices. The basic part of the sensor, the NEM structure, includes a suspended beam and two side electrodes and that is fabricated at the Southampton Nanofabrication Centre (SNC). The fabrication at SNC includes a new sensor that uses a free-free beam that improves the quality factor up to five orders of magnitude at room temperature and atmosphere based on the numerical results. The IP R-NEM sensor consists of a suspended beam that is integrated with an in-plane MOSFET and is fabricated by CEA-LETI. The monolithically integrated NEM with the MOSFET on the same SOI layer for the sensor is a real breakthrough which makes it a potential low-cost candidate among the mass-detection based sensors. With respect to the conducted radio-frequency (RF) characterization for nano-wire devices in collaboration with the Tokyo Institute of Technology and NEM structures, the designing of an RF contact pad to reduce the effect of parasitic frequencies and doing the measurement at high vacuum to reduce the motional resistance and increase the quality factor are necessary for the characterization of devices with nano-scale dimensions. The integrated MOSFET in the IP RNEM sensor amplifies the output transmission signal from the resonating beam by its intrinsic gain. The fabricated sensors show a three orders of magnitude larger gain than that of the previously proposed resonant suspended gate FETs by biasing the MOSFET at the optimized voltage biases that are found based on the DC characterization of MOSFETs.
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Beeby, Stephen Paul. "Mechanical isolation of miniature resonant sensors and stress relieving packages." Thesis, University of Southampton, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.242715.

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Brewer, John A. (John Adam). "Low resonant frequency beam design for a piezoelectric energy harvesting device." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/32874.

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Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2005.
Includes bibliographical references (leaf 24).
The TREAD Act of 2000 proposed rules that will soon make tire pressure sensors standard on all automobiles. The trend seems to be for small chips that can be imbedded in tires and perform sensing, signal processing, and RF transmission in one package. But powering these devices will be another challenge that must be addressed. This project deals with powering these sensors by harvesting environmental vibrational energy and eliminating the need for batteries. Using MEMS technology, a thin film Piezoelectric Micropower Generator device could be constructed. The PMPG is simply a cantilever structure tuned to resonate at environmental frequencies. At resonance, sizable strain is induced in a layer of the beam made from the piezoelectric material, PZT, thereby generating electricity. Recent studies have found that the most available environmental frequencies are on the order of 100 Hz. Current PMPG structures were designed to operate at 20 kHz. This project is aimed at understanding how to design low resonance beams while keeping them compact. Large one-dimensional cantilevers of low resonant frequency would pose serious packaging problems for the device. Two--dimensional spiral beams were designed and analyzed using analytical as well as finite element methods.
(cont.) The dependence on length was found to be a function of 1-1.3 rather than 1-2 of conventional one-dimensional beams. A variety of designs were developed using ANSYS which have resonant frequencies in the target range. The mode shapes were also simulated. To compare analysis with experiments, simple mock-up designs are planned to be fabricated from the polymer SU-8.
by John A. Brewer.
S.B.
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Eckert, Bernd. "Analytical and a numerical ground resonance analysis of a conventionally articulated main rotor helicopter." Thesis, Link to the online version, 2007. http://hdl.handle.net/10019/385.

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Albert, Kevin B. (Kevin Bjorn). "Efficient control of series elastic actuators through the exploitation of resonant modes." Thesis, Massachusetts Institute of Technology, 2007. http://hdl.handle.net/1721.1/39743.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2007.
Includes bibliographical references (p. 115-117).
This thesis explores the efficiency potential inherent to series elastic actuators during oscillatory tasks. Series elastic actuators have a spring intentionally placed at the actuator output that provides good force resolution and filters out high frequency disturbances from the environment. These properties are essential for robotic applications in which interactions with the environment are unknown, because they allow the actuators to maintain stable force control while protecting the drive train from harmful loadings. The spring can also be used to store energy similar to the way animals use their tendons during locomotory tasks. This thesis shows that by operating the actuators at the appropriate frequency, the storage of energy by the springs can be translated into large efficiency gains for the actuator. To show the efficiency gains of the actuator, a control scheme was developed that is capable of operating the actuators at and above their resonant frequency. The control scheme was based on spring force control allowing it to provide protection to the drive train while being robust to changes in link inertia due to manipulator configuration or environmental interactions.
(cont.) The control scheme was designed to be sufficient for use in real world applications so as to provide experimental results that are representative of operation on a robot vehicle. The control scheme was implemented on a single-link benchtop test stand which was used to demonstrate the performance of the actuators. Experimental results are presented that demonstrate the conditions under which efficient actuation is possible. By comparing the experimental data to models of the hardware, the mechanisms through which power was lost were determined. The results indicate that at resonance there is the potential to achieve up to twice the efficiency obtained by a rigid actuator, however, in order to do so extra attention is needed in both hardware design and control.
by Kevin B. Albert.
S.M.
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Fang, Hui. "Evaluation on mechanical properties of micro/nano-meter scale materials by resonant vibration." 京都大学 (Kyoto University), 2016. http://hdl.handle.net/2433/215220.

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Samad, Iskandar. "Mechanical characterisation of thin film materials from resonant testing of MEMS micro beams." Thesis, University of Cambridge, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.612181.

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Flynn, Kevin Joseph. "Defect analysis using resonant ultrasound spectroscopy." [College Station, Tex. : Texas A&M University, 2008. http://hdl.handle.net/1969.1/ETD-TAMU-2348.

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Zhu, Tianyu M. Eng Massachusetts Institute of Technology. "Design and manufacturing analysis of resonantly coupled circuits and other components used for wireless benefit-denial system." Thesis, Massachusetts Institute of Technology, 2013. http://hdl.handle.net/1721.1/85543.

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Thesis: M. Eng. in Manufacturing, Massachusetts Institute of Technology, Department of Mechanical Engineering, 2013.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 74-75).
A new benefit-denial system using RFID technology and inductive heating is under development by ProTeqt Technologies. During the deactivation process, an enabler receives electromagnetic waves and turns the energy to heat, causing the polymeric material inside to expand and create force. An LC circuit in the locking mechanism, acting as a weakly coupled electromagnetic resonator, is used to improve energy transfer efficiency. The design of the LC circuit, as well as the measurement of the resulting force is presented. Due to the manufacturing variability of each component, the force generated by the enabler in the lock is uncertain. In the thesis, an analysis of the manufacturing variability and the distribution of the resulting force was conducted. A simulation model was developed to predict the robustness of the lock system. The test results show that the force generated is significantly more than the force needed, proving that the unlocking process is highly reliable. The result generated by the simulation validates the force test results.
by Tianyu Zhu.
M. Eng. in Manufacturing
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Books on the topic "Mechanical resonantor"

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United States. National Aeronautics and Space Administration., ed. Electro-mechanical actuator: DC resonant link controller. [Washington, D.C.]: National Aeronautics and Space Administration, 1996.

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Ionescu, Adrian, and Daniel Grogg. Micro- and Nano-Electro-Mechanical Resonant Transistors. Wiley & Sons, Limited, John, 2022.

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United States. National Aeronautics and Space Administration., ed. Electro-mechanical actuator: DC resonant link controller. [Washington, D.C.]: National Aeronautics and Space Administration, 1996.

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Electro-mechanical actuator: DC resonant link controller. [Washington, D.C.]: National Aeronautics and Space Administration, 1996.

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United States. National Aeronautics and Space Administration., ed. Electro-mechanical actuator: DC resonant link controller. [Washington, D.C.]: National Aeronautics and Space Administration, 1996.

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Hentz, Sébastien. Nano Electro Mechanical Systems: Downscaling Resonant Sensors. Wiley & Sons, Incorporated, John, 2016.

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(Translator), N. Birkett, ed. Resonant Robotic Systems (Foundations of Engineering Mechanics). Springer, 2003.

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Mann, Peter. Autonomous Geometrical Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0022.

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This chapter examines the structure of the phase space of an integrable system as being constructed from invariant tori using the Arnold–Liouville integrability theorem, and periodic flow and ergodic flow are investigated using action-angle theory. Time-dependent mechanics is formulated by extending the symplectic structure to a contact structure in an extended phase space before it is shown that mechanics has a natural setting on a jet bundle. The chapter then describes phase space of integrable systems and how tori behave when time-dependent dynamics occurs. Adiabatic invariance is discussed, as well as slow and fast Hamiltonian systems, the Hannay angle and counter adiabatic terms. In addition, the chapter discusses foliation, resonant tori, non-resonant tori, contact structures, Pfaffian forms, jet manifolds and Stokes’s theorem.
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Mann, Peter. The Structure of Phase Space. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0023.

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This chapter introduces the reader to canonical perturbation theory as a tool for studying near-integrable systems. Many problems in physics and chemistry do not have exact analytical solutions; these systems are in direct opposition to integrable systems and action-angle variables. The chapter starts by considering tiny perturbations to integrable Hamiltonians. Poincaré in 1893 claimed this was the fundamental question of classical mechanics and, fittingly, Hamilton–Jacobi theory is the starting point. The chapter develops Poincaré’s fundamental equation as well as Delaunay’s small divisor problem. Resonant, near–resonant and non-resonant tori are investigated in the context of Poincaré’s theorem and KAM theory is described in detail. Chaos and Poincaré maps are presented before discussing determinism, deterministic chaos and Laplace’s demon.
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Performance of Nonlinear Mechanical, Resonant-Shunted Piezoelectric, and Electronic Vibrations Absorbers for Multi-Degree-of-Freedom Structures. Storming Media, 1997.

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Book chapters on the topic "Mechanical resonantor"

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Lawrence, Anthony. "Passive Resonant Gyros." In Mechanical Engineering Series, 225–38. New York, NY: Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-1734-3_15.

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Deych, Lev I. "Resonant Tunneling." In Advanced Undergraduate Quantum Mechanics, 391–427. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-71550-6_12.

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Farrelly, David, Jeffrey Humpherys, and T. Uzer. "Normalization of Resonant Hamiltonians." In Hamiltonian Mechanics, 237–44. Boston, MA: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4899-0964-0_22.

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Chakraborty, G., and Nikul Jani. "Nonlinear Dynamics of Resonant Microelectromechanical System (MEMS): A Review." In Mechanical Sciences, 57–81. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-5712-5_3.

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Astashev, V. K., M. Z. Kolovsky, and V. I. Babitsky. "Dynamics of resonant machines." In Foundations of Engineering Mechanics, 153–205. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-540-69634-6_6.

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Babitsky, V. I., and A. V. Shipilov. "Application of resonant systems." In Foundations of Engineering Mechanics, 1–67. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-36380-4_1.

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Umapathy, M., G. Uma, and K. Suresh. "Electronic Circuits for Piezoelectric Resonant Sensors." In Springer Tracts in Mechanical Engineering, 439–52. New Delhi: Springer India, 2014. http://dx.doi.org/10.1007/978-81-322-1913-2_26.

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Bentosela, F. "Stark — Wannier Resonant States." In Recent Developments in Quantum Mechanics, 85–95. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3282-4_4.

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Babitsky, V. I., and A. V. Shipilov. "Dynamics of resonant robotic systems." In Foundations of Engineering Mechanics, 69–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-36380-4_2.

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Babitsky, V. I., and A. V. Shipilov. "Optimal control of resonant systems." In Foundations of Engineering Mechanics, 93–146. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-36380-4_3.

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Conference papers on the topic "Mechanical resonantor"

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Luo, Albert C. J., and F. Y. Wang. "Dynamics of a Nonlinear Mechanical Resonator in Micro-Electro-Mechanical Systems." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/de-23229.

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Abstract Equilibrium, natural frequency and responses of a mechanical resonator with capacitors in a simplified micro-electro-mechanical system (MEMS) are determined. Under application of alternating current (AC) voltage, the resonant conditions for such a system are obtained. The chaotic motions in the vicinity of a specified resonant-separatrix are investigated analytically and numerically. For a given AC voltage amplitude, the AC frequency bands are obtained for chaotic motion in the specific resonant layers and resonant motions, and such chaotic motions can be sensed very easily by the output transducer in MEMS.
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Zou, Xudong, Pradyumna Thiruvenkatanathan, and Ashwin A. Seshia. "Micro-electro-mechanical resonant tilt sensor." In 2012 IEEE International Frequency Control Symposium (FCS). IEEE, 2012. http://dx.doi.org/10.1109/fcs.2012.6243702.

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Luo, Albert C. J., and Chin An Tan. "Nonlinear Resonant Motion of Traveling Waves in Rotating Disks." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-2016.

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Abstract The resonant conditions for traveling waves in rotating disks are derived. The nonlinear resonant spectrum of a rotating disk is computed from the resonant conditions. Such a resonant spectrum is useful for the disk drive industry to determine the range of operational rotation speed. The resonant wave motions for linear and nonlinear, rotating disks are simulated numerically for a 3.5-inch diameter computer memory disk.
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Luo, Albert C. J., and Ray P. S. Han. "Stochastic and Resonant Layers in a Periodically Driven Pendulum." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0575.

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Abstract The stochastic and resonant layers in a periodically driven pendulum are investigated in this paper. The analytical solutions and nonlinear natural frequencies of the non-driven pendulum are first derived, and then the energy increments in the stochastic and resonant layers for the driven pendulum are approximated by the work done by the external excitation along the heteroclinic and resonant orbits, respectively. From these results, the approximate analytical conditions for the predictions of stochastic and resonant layers are constructed. Based on these conditions, input parameters are computed for the numerical simulations of the stochastic and resonant layers. The stochastic and resonant layers associated with the librational and rotational motions are illustrated via the Poincare mapping sections.
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Bardaweel, H., R. Richards, C. Richards, and M. Anderson. "Resonant Versus Sub-Resonant Operation of a MEMS Heat Engine." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10987.

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The operation of a MEMS-based micro heat engine at resonant and sub-resonant conditions is presented. Both model and experiments are used to investigate resonant and sub-resonant operation of the engine. In this work, we look at the pressure-volume diagrams of an engine operated at resonance and sub-resonance. Model predictions of the PV diagram are in favorable agreement with measured data. The results show that resonant operation is beneficial. At resonance, the pressure and volume in the engine cavity are decoupled and more mechanical work is observed. The PV diagram describes an elliptical shape. However, for an off-resonant operation the pressure and volume become more coupled and less mechanical work is observed. The PV diagram is described by a sigmoidal shape.
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Cui, Wei, Xiaolin Chen, and Wei Xue. "Design Optimization for Non-Resonant MEMS Gyroscope." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10812.

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Conventional capacitive MEMS gyroscopes require close matching between the resonant frequencies of drive mode and sense mode. However, the uncertainties in the microfabrication process impair the robustness of the gyroscopes and often lead to unpredictable device performance. This paper analyzes a 4 degree-of-freedom (DOF) non-resonant gyroscope which is less vulnerable to the fabrication perturbations. Unlike the conventional resonant gyroscope which has only one resonant frequency for drive and sense modes, the 4-DOF gyroscope includes two resonant frequencies for each mode. The non-resonant gyroscope design aims to reduce resonance frequency matching, namely to minimize the effect of the inevitable fabrication uncertainties as well as to increase the bandwidth with less sacrifice to the sensitivity. The device performance is analyzed and optimized by the behavior model approach in CoventorWare which significantly accelerates the simulation compared to the traditional finite element method. The optimized non-resonant gyroscope with higher fabrication tolerance as well as enhanced device performance is proven to be an effective design and can be used in a wide range of applications.
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Kim, Si Young, Jeung Sang Go, and Young-Ho Cho. "Design, Fabrication and Static Test of a Resonant Microaccelerometer." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0933.

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Abstract This paper investigates a resonant microaccelerometer that measures acceleration using a built-in micromechanical resonator, whose resonant frequency is changing due to an acceleration-induced axial force. From a structural analysis, design equations for the resonant microaccelerometer have been developed and have included analytic formulae for the resonant frequency, sensitivity, nonlinearity and maximum stress in the mechanical structures. On this basis, the sizes of the accelerometer are designed for a sensitivity of 10−3g/Hz over the bandwidth of 100Hz, while satisfying the maximum nonlinearity of 5%, the minimum shock endurance of 100g, the detection range of 5g and the size constraints placed by microfabrication process. A set of the resonant accelerometers has been fabricated by an integrated use of bulk-micromachining and surface-micromachining techniques. From on-chip test structures, the Young’s modulus of polysilicon is measured in the range of 60∼100GPa. The residual stress of polysilicon structures was reduced to 362.1kPa by the annealing process performed for 2 hours at 1000 C in N2 atmosphere. From a static test of the resonant accelerometer, a frequency shift of 860Hz has been measured corresponding to the deflection of the proof-mass by 4.3±0.5μm; thereby obtaining the detection sensitivity of 0.92±0.11 × 10−3g/Hz. Uncertainty in the resonant frequency output has been evaluated to identify important issues involved in the design, fabrication and testing of the resonant accelerometer.
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Lee, Ki Bang, Albert P. Pisano, and Liwei Lin. "A Frequency-Tunable Comb Resonator Using Spring Tension and Compression Effects." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-62148.

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A 2μm-thick frequency-tunable microresoantor capable of either increasing or decreasing its resonant frequency by a combination of Joule heating and electrostatic force has been successfully demonstrated for the first time. For the heating voltage increase from 0 to 2V under fixed bias voltage of 40V, the resonant frequency changes from 22.2kHz to 16.2kHz, resulting in the 27% reduction in the resonant frequency. For the bias voltage change from 20V to 40V under the heating voltage of 0V, the resonant frequency increase from 19.0kHz to 23.6kHz, resulting in the 24.2% increase in the resonant frequency. As such, this surface-micromachined microactuator could assist complicated frequency tuning for applications of microsensors and microactuators.
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Ma, Yanhong, Chong Cao, Dayi Zhang, Zhichao Liang, and Jie Hong. "Constraint Mechanical Model and Investigation for Rub-Impact in Aero-Engine System." In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-42929.

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A mechanical model for rub-impact was proposed considering the additional constraints caused by rubbing. Based on the constraint mechanical model, some characteristics of response such as resonant range expansion, contact unstability and amplitude jump during rubbing were studied. The influences of typical parameters on rotor’s vibration response with rub constraint were also evaluated. The result reveals that additional constraint stiffness causes the unstable contact range and the resonant range to be wider. While greater friction coefficient between rotor and casing results in smaller response and narrower resonant range. A simplified dynamic model for the aero-engine was built, which takes the constraint effect into account. The numerical simulation result shows that in addition to the resonant range expansion caused by the constraint, the rotor response is also closely related to rubbing location and mode shapes. The rotor response shows a feature of quasi-periodic in slight rubbing, while the rotor motion tends unstable in heavy rubbing.
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Stoyanov, Svetlin. "Software tools for mechanical structures resonant frequencies determination." In CompSysTech'18: 19th International Conference on Computer Systems and Technologies. New York, NY, USA: ACM, 2018. http://dx.doi.org/10.1145/3274005.3274037.

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Reports on the topic "Mechanical resonantor"

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Aronson, David, and Alexander Heifetz. Analyzing Mechanical integrity of Microwave resonant Cavity flowmeter. Office of Scientific and Technical Information (OSTI), August 2021. http://dx.doi.org/10.2172/1826477.

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Galili, Naftali, Roger P. Rohrbach, Itzhak Shmulevich, Yoram Fuchs, and Giora Zauberman. Non-Destructive Quality Sensing of High-Value Agricultural Commodities Through Response Analysis. United States Department of Agriculture, October 1994. http://dx.doi.org/10.32747/1994.7570549.bard.

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The objectives of this project were to develop nondestructive methods for detection of internal properties and firmness of fruits and vegetables. One method was based on a soft piezoelectric film transducer developed in the Technion, for analysis of fruit response to low-energy excitation. The second method was a dot-matrix piezoelectric transducer of North Carolina State University, developed for contact-pressure analysis of fruit during impact. Two research teams, one in Israel and the other in North Carolina, coordinated their research effort according to the specific objectives of the project, to develop and apply the two complementary methods for quality control of agricultural commodities. In Israel: An improved firmness testing system was developed and tested with tropical fruits. The new system included an instrumented fruit-bed of three flexible piezoelectric sensors and miniature electromagnetic hammers, which served as fruit support and low-energy excitation device, respectively. Resonant frequencies were detected for determination of firmness index. Two new acoustic parameters were developed for evaluation of fruit firmness and maturity: a dumping-ratio and a centeroid of the frequency response. Experiments were performed with avocado and mango fruits. The internal damping ratio, which may indicate fruit ripeness, increased monotonically with time, while resonant frequencies and firmness indices decreased with time. Fruit samples were tested daily by destructive penetration test. A fairy high correlation was found in tropical fruits between the penetration force and the new acoustic parameters; a lower correlation was found between this parameter and the conventional firmness index. Improved table-top firmness testing units, Firmalon, with data-logging system and on-line data analysis capacity have been built. The new device was used for the full-scale experiments in the next two years, ahead of the original program and BARD timetable. Close cooperation was initiated with local industry for development of both off-line and on-line sorting and quality control of more agricultural commodities. Firmalon units were produced and operated in major packaging houses in Israel, Belgium and Washington State, on mango and avocado, apples, pears, tomatoes, melons and some other fruits, to gain field experience with the new method. The accumulated experimental data from all these activities is still analyzed, to improve firmness sorting criteria and shelf-life predicting curves for the different fruits. The test program in commercial CA storage facilities in Washington State included seven apple varieties: Fuji, Braeburn, Gala, Granny Smith, Jonagold, Red Delicious, Golden Delicious, and D'Anjou pear variety. FI master-curves could be developed for the Braeburn, Gala, Granny Smith and Jonagold apples. These fruits showed a steady ripening process during the test period. Yet, more work should be conducted to reduce scattering of the data and to determine the confidence limits of the method. Nearly constant FI in Red Delicious and the fluctuations of FI in the Fuji apples should be re-examined. Three sets of experiment were performed with Flandria tomatoes. Despite the complex structure of the tomatoes, the acoustic method could be used for firmness evaluation and to follow the ripening evolution with time. Close agreement was achieved between the auction expert evaluation and that of the nondestructive acoustic test, where firmness index of 4.0 and more indicated grade-A tomatoes. More work is performed to refine the sorting algorithm and to develop a general ripening scale for automatic grading of tomatoes for the fresh fruit market. Galia melons were tested in Israel, in simulated export conditions. It was concluded that the Firmalon is capable of detecting the ripening of melons nondestructively, and sorted out the defective fruits from the export shipment. The cooperation with local industry resulted in development of automatic on-line prototype of the acoustic sensor, that may be incorporated with the export quality control system for melons. More interesting is the development of the remote firmness sensing method for sealed CA cool-rooms, where most of the full-year fruit yield in stored for off-season consumption. Hundreds of ripening monitor systems have been installed in major fruit storage facilities, and being evaluated now by the consumers. If successful, the new method may cause a major change in long-term fruit storage technology. More uses of the acoustic test method have been considered, for monitoring fruit maturity and harvest time, testing fruit samples or each individual fruit when entering the storage facilities, packaging house and auction, and in the supermarket. This approach may result in a full line of equipment for nondestructive quality control of fruits and vegetables, from the orchard or the greenhouse, through the entire sorting, grading and storage process, up to the consumer table. The developed technology offers a tool to determine the maturity of the fruits nondestructively by monitoring their acoustic response to mechanical impulse on the tree. A special device was built and preliminary tested in mango fruit. More development is needed to develop a portable, hand operated sensing method for this purpose. In North Carolina: Analysis method based on an Auto-Regressive (AR) model was developed for detecting the first resonance of fruit from their response to mechanical impulse. The algorithm included a routine that detects the first resonant frequency from as many sensors as possible. Experiments on Red Delicious apples were performed and their firmness was determined. The AR method allowed the detection of the first resonance. The method could be fast enough to be utilized in a real time sorting machine. Yet, further study is needed to look for improvement of the search algorithm of the methods. An impact contact-pressure measurement system and Neural Network (NN) identification method were developed to investigate the relationships between surface pressure distributions on selected fruits and their respective internal textural qualities. A piezoelectric dot-matrix pressure transducer was developed for the purpose of acquiring time-sampled pressure profiles during impact. The acquired data was transferred into a personal computer and accurate visualization of animated data were presented. Preliminary test with 10 apples has been performed. Measurement were made by the contact-pressure transducer in two different positions. Complementary measurements were made on the same apples by using the Firmalon and Magness Taylor (MT) testers. Three-layer neural network was designed. 2/3 of the contact-pressure data were used as training input data and corresponding MT data as training target data. The remaining data were used as NN checking data. Six samples randomly chosen from the ten measured samples and their corresponding Firmalon values were used as the NN training and target data, respectively. The remaining four samples' data were input to the NN. The NN results consistent with the Firmness Tester values. So, if more training data would be obtained, the output should be more accurate. In addition, the Firmness Tester values do not consistent with MT firmness tester values. The NN method developed in this study appears to be a useful tool to emulate the MT Firmness test results without destroying the apple samples. To get more accurate estimation of MT firmness a much larger training data set is required. When the larger sensitive area of the pressure sensor being developed in this project becomes available, the entire contact 'shape' will provide additional information and the neural network results would be more accurate. It has been shown that the impact information can be utilized in the determination of internal quality factors of fruit. Until now,
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