Relevant bibliographies by topics / Higher-order beam theory

Academic literature on the topic 'Higher-order beam theory'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Higher-order beam theory"

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Bhimaraddi, A., and K. Chandrashekhara. "Observations on Higher‐Order Beam Theory." Journal of Aerospace Engineering 6, no. 4 (October 1993): 408–13. http://dx.doi.org/10.1061/(asce)0893-1321(1993)6:4(408).

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Senjanović, Ivo, and Ying Fan. "A higher-order flexural beam theory." Computers & Structures 32, no. 5 (January 1989): 973–86. http://dx.doi.org/10.1016/0045-7949(89)90400-8.

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Widera, G. E. O., and W. C. Zheng. "New Higher Order Engineering Beam Theory." Journal of Pressure Vessel Technology 115, no. 3 (August 1, 1993): 325–27. http://dx.doi.org/10.1115/1.2929535.

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A refined engineering theory for beams is presented. It contains higher order effects not present in such refined theories as the one by Timoshenko. A comparison with the latter theory is carried out.
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Nolde, E., A. V. Pichugin, and J. Kaplunov. "An asymptotic higher-order theory for rectangular beams." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474, no. 2214 (June 2018): 20180001. http://dx.doi.org/10.1098/rspa.2018.0001.

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A direct asymptotic integration of the full three-dimensional problem of elasticity is employed to derive a consistent governing equation for a beam with the rectangular cross section. The governing equation is consistent in the sense that it has the same long-wave low-frequency behaviour as the exact solution of the original three-dimensional problem. Performance of the new beam equation is illustrated by comparing its predictions against the results of direct finite-element computations. Limiting behaviours for beams with large (and small) aspect ratios, which can be established using classical plate theories, are recovered from the new governing equation to illustrate its consistency and also to illustrate the importance of using plate theories with the correctly refined boundary conditions. The implications for the correct choice of the shear correction factor in Timoshenko's beam theory are also discussed.
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Levinson, Mark. "On Bickford's consistent higher order beam theory." Mechanics Research Communications 12, no. 1 (January 1985): 1–9. http://dx.doi.org/10.1016/0093-6413(85)90027-8.

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Lim, Jae Kyoo, and Seok Yoon Han. "Development of Orthotropic Beam Element Using a Consistent Higher Order Deformation Theory." Key Engineering Materials 261-263 (April 2004): 519–24. http://dx.doi.org/10.4028/www.scientific.net/kem.261-263.519.

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In order to analyze beam structures more accurately and effectively, a two-node orthotropic beam element is proposed. This beam element is formulated using a consistent higher order deformation theory of orthotropic beams of which the transverse normal deformation can be effectively estimated. The stiffness matrix and the vector of equivalent nodal forces of the beam element are derived explicitly by the Galerkin method. In order to examine the reliability and the characteristics of the beam element, the analytical and the finite element solutions of a simple cantilevered beam are compared with each other. As a result, the following conclusions are obtained; (1) the accuracy of the suggested orthotropic beam element is very excellent and so the transverse normal deformation and shear stress of an orthotropic beam can be effectively estimated. (2) It can be used for accurately analyzing the general beam structures regardless of the Euler's or the Timoshenko's beam.
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Narkhede, Kundan M., and Appaso M. Gadade. "Response of Composite Laminate Beam Using Higher Order Beam Theory." Journal of Physics: Conference Series 1240 (July 2019): 012005. http://dx.doi.org/10.1088/1742-6596/1240/1/012005.

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McCarthy, Thomas R., and Aditi Chattopadhyay. "A refined higher-order composite box beam theory." Composites Part B: Engineering 28, no. 5-6 (January 1997): 523–34. http://dx.doi.org/10.1016/s1359-8368(96)00053-4.

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Sapountzakis, Evangelos, and Amalia Argyridi. "Influence of in-Plane Deformation in Higher Order Beam Theories." Strojnícky casopis – Journal of Mechanical Engineering 68, no. 3 (November 1, 2018): 77–94. http://dx.doi.org/10.2478/scjme-2018-0028.

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AbstractComparing Euler-Bernoulli or Tismoshenko beam theory to higher order beam theories, an essential difference can be depicted: the additional degrees of freedom accounting for out-of plane (warping) and in-plane (distortional) phenomena leading to the appearance of respective higher order geometric constants. In this paper, after briefly overviewing literature of the major beam theories taking account warping and distortional deformation, the influence of distortion in the response of beams evaluated by higher order beam theories is examined via a numerical example of buckling drawn from the literature.
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Argyridi, Amalia K., and Evangelos J. Sapountzakis. "Higher order beam theory for linear local buckling analysis." Engineering Structures 177 (December 2018): 770–84. http://dx.doi.org/10.1016/j.engstruct.2018.08.069.

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Dissertations / Theses on the topic "Higher-order beam theory"

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Fortin, Jose Donato. "Consequences of the application of a higher order beam theory to the steady-state deformation and free vibrations of a moving beam /." The Ohio State University, 1988. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487586889189672.

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Nagappan, Govindan. "Analysis of composite moving beams using higher order shear deformation theory." Morgantown, W. Va. : [West Virginia University Libraries], 2004. https://etd.wvu.edu/etd/controller.jsp?moduleName=documentdata&jsp%5FetdId=3463.

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Thesis (M.S.)--West Virginia University, 2004.
Title from document title page. Document formatted into pages; contains xi, 126 p. : ill. Includes abstract. Includes bibliographical references (p. 123-126).
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陸貴文 and Kwai-man Luk. "Complex-source-point theory of the higher-order modes in an open resonator." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1985. http://hub.hku.hk/bib/B31230532.

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Luk, Kwai-man. "Complex-source-point theory of the higher-order modes in an open resonator /." [Hong Kong] : University of Hong Kong, 1985. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12315382.

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Uddin, Md Alhaz. "A Nonlinear Finite Element Model for Steel-concrete Composite Beam using a Higher-order Beam Theory." Thesis, 2016. http://hdl.handle.net/2440/119087.

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Steel-concrete composite beams are commonly used in bridges, buildings and other civil engineering infrastructure for their superior structural performances. This is achieved by exploiting the typical configuration of this structural system where the concrete slab is primarily utilised to resist compressive stresses whereas the steel girder is used to sustain tensile stresses. The composite action is realised by connecting the concrete slab with the steel girder by steel shear studs. The interfacial shear slip is always observed due to the deformation of shear studs having a finite stiffness in reality which is commonly known as partial shear interaction. This is an important feature which should be considered in the analysis of these composite beams to get satisfactory results. It is observed that most of the existing models for simulating composite beams are based on Euler-Bernoulli’s beam theory (EBT) which does not consider the effect of shear deformation of the beam layers. In recent past, the incorporation of this effect is becoming popular and some attempts have already been made where Timoshenko’s beam theory (TBT) is typically used. In this beam theory (TBT), the true parabolic variation of shear stress over the beam depth is replaced by a uniform shear stress distribution over the beam depth to simplify the problem. In order to address this issue, a higher-order beam theory (HBT) has recently been developed at the University of Adelaide. However, the model is so far applied to the linear analysis of these beams. In the present study, a comprehensive nonlinear finite element model is developed based on HBT for an accurate prediction of the bending response of steel-concrete composite beams with partial shear interaction. This is achieved by taking a third order variation of longitudinal displacement over the beam depth for the steel and the concrete layers separately. The deformable shear studs used for connecting the concrete slab with the steel girder are modelled as distributed shear springs along the interface between these material layers. The effects of nonlinearities produced by large deformations and inelastic material behaviours are incorporated in the formulation of the proposed one-dimensional finite element model. The Green-Lagrange strain vector is used to capture the effect of geometric nonlinearity due to large deformations. The von Mises yield criterion with an isotropic-hardening rule is used for modelling the inelastic behaviour of steel girders, reinforcements and steel shear studs. This modelling approach is also applied to the region of concrete slab subjected to compressive stress for simplicity. A damage mechanics model is adopted to simulate the cracking behaviour of the concrete under tensile stress. The nonlinear governing equations are solved by an incremental-iterative technique following the Newton-Raphson method. A robust arc-length method is employed to capture the post peak response successfully where the energy dissipation played an important role. To assess the performance of the proposed model, the results predicted by the model are compared with existing experimental results as well as numerical results produced by using a detailed two dimensional finite element modelling of the composite beams.
Thesis (Ph.D.) -- University of Adelaide, School of Civil, Environmental & Mining Engineering, 2017
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Murthy, MVVS. "Super-Convergent Finite Elements For Analysis Of Higher Order Laminated Composite Beams." Thesis, 2007. http://hdl.handle.net/2005/587.

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Advances in the design and manufacturing technologies have greatly enhanced the utility of fiber reinforced composite materials in aircraft, helicopter and space- craft structural components. The special characteristics of composites such as high strength and stiffness, light-weight corrosion resistance make them suitable sub- stitute for metals/metallic alloys. However, composites are very sensitive to the anomalies induced during their fabrication and service life. Also, they are suscepti- ble to the impact and high frequency loading conditions because the epoxy matrix is at-least an order of magnitude weaker than the embedded reinforced carbon fibers. On the other hand, the carbon based matrix posses high electrical conductivity which is often undesirable. Subsequently, the metal matrix produces high brittleness. Var- ious forms of damage in composite laminates can be identified as indentation, fiber breakage, matrix cracking, fiber-matrix debonding and interply disbonding (delam- ination). Among all the damage modes mentioned above, delamination has been found to be serious for all cases of loading. They are caused by excessive interlaminar shear and normal stresses. The interlaminar stresses that arise in the case of composite materials due to the mismatch in the elastic constants across the plies. Delamination in composites reduce it’s tensile and compressive strengths by consid- erable margins. Hence the knowledge of these stresses is the most important aspect to be looked into. Basic theories like the Euler-Bernoulli’s theory and Timoshenko beam theory are based on many assumptions which poses limitation to determine these stresses accurately. Hence the determination of these interlaminar stresses accurately requires higher order theories to be considered. Most of the conventional methods of determination of the stresses are through the solutions, involving the trigonometric series, which are available only to small and simple problems. The most common method of solution is by Finite Element (FE) Method. There are only few elements existing in the literature and very few in the commercially available finite element software to determine the interlaminar stresses accurately in the composite laminates. Accuracy of finite element solution depends on the choice of functions to be used as interpolating polynomials for the field variable. In-appropriate choice will manifest in the form of delayed convergence. This delayed convergence and accuracy in predicting these stresses necessiates a formulation of elements with a completely new concept. The delayed convergence is sometimes attributed to the shear locking phenomena, which exist in most finite element formulation based on shear deformation theories. The present work aims in developing finite elements based on higher order theories, that alleviates the slow convergence and achieves the solutions at a faster rate without compromising on the accuracy. The accuracy primarily depends on the theory used to model the problem. Thus the basic theories (such as Elementary Beam theory and Timoshenko Beam theory) does not suffice the condition to accuratley determine the interlaminar stresses through the thickness, which is the primary cause for delamination in composites. Two different elements developed on the principle of super-convergence has been presented in this work. These elements are subjected to several numerical experiments and their performance is assessed by comparing the solutions with those available in literature. Spacecraft and aircraft structures are light in weight and are also lightly damped because of low internal damping of the material of construction. This increased exibility may allow large amplitude vibration, which might cause structural instability. In addition, they are susceptible to impact loads of very short duration, which excites many structural modes. Hence, structural dynamics and wave propagation study becomes a necessity. The wave based techniques have found appreciation in many real world problems such as in Structural Health Monitoring (SHM). Wave propagation problems are characterized by high frequency loads, that sets up stress waves to propagate through the medium. At high frequency, the wave lengths are small and from the finite element point of view, the element sizes should be of the same order as the wave lengths to prevent free edges of the element to act as a free boundary and start reflecting the stress waves. Also longer element size makes the mass distribution approximate. Hence for wave propagation problems, very large finite element mesh is an absolute necessity. However, the finite element problems size can be drastically reduced if we characterize the stiffness of the structure accurately. This can accelerate the convergence of the dynamic solution significantly. This can be acheived by the super-convergent formulation. Numerical results are presented to illustrate the efficiency of the new approach in both the cases of dynamic studies viz., the free vibration study and the wave propagation study. The thesis is organised into five chapters. A brief organization of the thesis is presented below, Chapter-1 gives the introduction on composite material and its constitutive law. The details of shear locking phenomena and the interlaminar stress distribution across the thickness is brought out and the present methods to avoid shear locking has been presented. Chapter-2 presents the different displacement based higher order shear deformation theories existing in the literature their advantages and limitations. Chapter-3 presents the formulation of a super-convergent finite element formulation, where the effect of lateral contraction is neglected. For this element static and free vibration studies are performed and the results are validated with the solution available in the open literature. Chapter-4 presents yet another super-convergent finite element formulation, wherein the higher order effects due to lateral contraction is included in the model. In addition to static and free vibration studies, wave propagation problems are solved to demonstrate its effectiveness. In all numerical examples, the super-convergent property is emphasized. Chapter-5 gives a brief summary of the total research work performed and presents further scope of research based on the current research.
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Wen, Jie. "An analytical model for two-layered composite beams with partial shear interaction based on a higher order beam theory." Thesis, 2017. http://hdl.handle.net/2440/114021.

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The application of composite structures is quite frequent in various structural engineering activities due to their super mechanical properties and structural performances. A composite beam consisting of two material layers, such as steel-concrete, steel-timber, and timber-timber is typically used in the construction industry to enhance the overall performance due to a proper utilization of two material layers in this structural system. In reality, the shear connectors such as bolts, nails or steel shear studs, commonly used to connect the two layers, are having a certain degree of deformability due to a finite stiffness of these shear connectors. This induces a shear slip at the interface between the two layers which is known as partial shear interaction. This is an important feature which needs to be considered in the modelling of composite beams. In the present study, the shear connectors are modelled as distributed shear springs along the length of composite beams in the present study. A higher order beam theory (HBT) is used to consider the effect of transverses hear deformation accurately by taking a third order variation of the longitudinal displacement across the beam depth. Since HBT allows a true parabolic vibration of the shear stress that vanishes at the top and bottom fibres of the beam, no shear correction factor needs to be used. In addition to the prediction for the beam global response such as deflection or vibration frequency, HBT also predicts the local response such as distribution of stresses accurately, which cannot be achieved by the existing models based on Euler-Bernoulli beam theory (EBT) or Timoshenko beam theory (TBT). In the present study, exact analytical models based on HBT are developed for the static bending response, flexural free and forced vibration response, and geometric nonlinear static flexural response of two-layered composite beams with partial shear interaction. The principle of virtual work and the Hamilton’s principle are applied to derive the governing equations for static and dynamic analysis, respectively, where the Navier type solution technique is used to solve these equations analytically. In order to assess the accuracy and efficiency of the proposed analytical models, the results produced by the models are compared with the results reported in literature by previous researchers and numerical results predicted by a one dimensional finite element model based on HBT as well as by a detailed two-dimensional finite element modelling of composite beams.
Thesis (Ph.D.) (Research by Publication) -- University of Adelaide, School of Civil, Environmental and Mining Engineering, 2017.
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Filippov, Oleg. "Vectorial beam coupling in fast photorefractive crystals with AC-enhanced response." Doctoral thesis, 2004. https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2004092812.

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We develop a theory of vectorial wave coupling in cubic photorefractive crystals placed in an alternating ac-field to enhance the nonlinear response. First we analytically and numerically investigate the dependences of the first Fourier harmonics of the space-charge field, induced in an AC-biased sillenite crystal by a light-interference pattern, on the light contrast m. The data obtained was used to extend the vectorial beam-coupling theory on the whole contrast region. In particular, we proved in the general case that despite of essential differences between thediffusion and AC nonlocal responses the later keeps the light interference fringes straight during the interaction. This fundamental feature allows, under certain restrictions, to reduce the nonlinear problem of vectorial coupling to the known linear problem of vectorial Bragg diffraction from a spatially uniform grating, which admits an exact solution. As a result, the nonlinear vectorial problem can be effectively solved for a number of practically important cases.The developed theory was applied to describe the transformation of a momentary phase changes of one of the input beams into the output intensity modulation (so-called grating translation technique). In contrast to the previous studies, we take into account the change of the space-charge field amplitude across the crystal (the coupling effects). The theory developed is employed to optimize the conditions for the linear signal detection under polarization filtering for the transverse and longitudinal optical configurations. We also analyze the possibility of the linear detection without polarization filtering.Illumination of AC-biased photorefractive BTO crystals with a coherent light beam results in development of strong nonlinear scattering. We investigate the angular and polarization characteristics of the scattered light for the diagonal optical configuration and different polarization states of the pump.
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CHEN, FANG-CHEN, and 陳芳誠. "Partial hybrid stress method of a higher-order theory for the free vibration and stress analysis of laminated beams." Thesis, 1990. http://ndltd.ncl.edu.tw/handle/17608105699053048417.

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Καρλής, Γεράσιμος. "BEM solutions for linear elastic and fracture mechanics problems with microstructural effects." Thesis, 2009. http://nemertes.lis.upatras.gr/jspui/handle/10889/2236.

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During this thesis, a Boundary Element Method (BEM) has been developed for the solution of static linear elastic problems with microstructural effects in two (2D) and three dimensions (3D).The second simplified form of Mindlin's Generalized Gradient Elasticity Theory (Mindlin's Form II)has been employed. The fundamental solution of the 4th order partial differential equation, that describes the aforementioned theory, has been derived and the integral equations that govern Mindlin's Form II Gradient Elasticity Theory have been obtained. Furthermore, a BEM formulation has been developed and specific Boundary Value Problems (BVPs) were solved numerically and compared with the corresponding analytical solutions to verify the correctness of the formulation and demonstrate its accuracy. Moreover, two new partially discontinuous boundary elements with variable order of singularity, a line and a quadrilateral element, have been developed for the solution of fracture mechanics problems. The calculation of the unknown fields near the crack tip (or front) demanded the use of elements that could interpolate abruptly varying fields. The new elements were created in a way that their interpolation functions were no longer quadratic but their behavior depended on the order of singularity of each field. Finally, the Stress Intensity Factor (SIF) of the crack has been calculated with high accuracy, based on the element's nodal traction values. Static fracture mechanics problems for Mode I and Mixed Mode (I & II) cracks, have been solved in 2D and 3D and the corresponding SIFs have been obtained, in the context of both classical and Form II Gradient Elasticity theories.
Κατά τη διάρκεια της παρούσας διδακτορικής διατριβής, αναπτύχθηκε Μέθοδος Συνοριακών Στοιχείων (ΜΣΣ) για την επίλυση στατικών προβλημάτων ελαστικότητας με επιδράσεις μικροδομής σε δύο και τρεις διαστάσεις. Η θεωρία στην οποία εφαρμόστηκε η ΜΣΣ είναι η δεύτερη απλοποιημένη μορφή της γενικευμένης θεωρίας ελαστικότητας του Mindlin. Για τη συγκεκριμένη θεωρία ευρέθη η θεμελιώδης της μερικής διαφορικής εξίσωσης 4ης τάξης που περιγράφει τη συμπεριφορά των συγκεκριμένων υλικών και κατασκευών. Επίσης διατυπώθηκε η ολοκληρωτική εξίσωση των αντίστοιχων προβλημάτων και έγινε η αριθμητική εφαρμογή μέσω της ΜΣΣ. Επιλύθηκα αριθμητικά συγκεκριμένα προβλήματα συνοριακών τιμών και έγινε σύγκριση των αποτελεσμάτων με τα αντίστοιχα θεωρητικά. Στη συνέχεια αναπτύχθηκαν δύο νέα ασυνεχή στοιχεία μεταβλητής τάξης ιδιομορφίας με σκοπό την επίλυση προβλημάτων θραυστομηχανικής, ένα για δισδιάστατα και ένα για τρισδιάστατα προβλήματα. Συγκεκριμένα, επειδή τα πεδία των τάσεων απειρίζονται στην κορυφή μιας ρωγμής και περιέχουν συγκεκριμένων τύπων ιδιομορφίες δεν ήταν δυνατός ο ακριβής υπολογισμός των πεδίων αυτών κοντά στη ρωγμή με τα συνήθη τετραγωνικά συνοριακά στοιχεία. Ως εκ τούτου τα νέα στοιχεία κατασκευάστηκαν με τέτοιο τρόπο ώστε οι συναρτήσεις παρεμβολής τους να μην είναι τετραγωνικες, αλλά να εξαρτώνται από τον τύπο ιδιομορφίας του κάθε πεδίου. Έπειτα, έγινε ακριβής υπολογισμός του συντελεστή έντασης τάσης της ρωγμής με βάση τις τιμές του πεδίου των τάσεων κοντά σε αυτή. Τέλος επιλύθηκαν στατικά προβλήματα θραυστομηχανικής σε δύο και τρεις διαστάσεις και υπολογίστηκαν οι συντελεστές έντασης τάσης για ρωγμές σε υλικά με επίδραση μικροδομής.
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Books on the topic "Higher-order beam theory"

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National Aeronautics and Space Administration (NASA) Staff. Higher-Order Bending Theory for Laminated Composite and Sandwich Beams. Independently Published, 2018.

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A higher-order bending theory for laminated composite and sandwich beams. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1997.

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Center, Langley Research, ed. A higher-order bending theory for laminated composite and sandwich beams. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1997.

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A higher-order bending theory for laminated composite and sandwich beams. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1997.

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Center, Langley Research, ed. A higher-order bending theory for laminated composite and sandwich beams. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1997.

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Book chapters on the topic "Higher-order beam theory"

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Akhtar, Md Rashid, and Aas Mohammad. "Vibration Analysis of Curved Beam Using Higher Order Shear Deformation Theory with Different Boundary Conditions." In Lecture Notes in Mechanical Engineering, 649–60. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-5463-6_58.

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Zhang, Yunpeng, and Bo Diao. "Comparison of Nonlinear Analysis of RC Cross-Section Based on Timoshenko with Higher-Order Shear Deformation Beam Theory." In Recent Advances in Computer Science and Information Engineering, 223–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25766-7_29.

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Phan, Tuan-Binh, and Ngoc-Duong Nguyen. "Buckling and Free Vibration Analysis of Functionally Graded Porous Beams Using a Higher-Order Deformation Theory." In Computational Intelligence Methods for Green Technology and Sustainable Development, 446–60. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-19694-2_40.

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Wang, Hui, Lei Zhang, Shilei Liang, Yanyan Wang, and Weidong Zhu. "One-Dimensional High-Order Dynamic Model of U-Shaped Thin-Wall Arm Segment of Telescopic Boom of Crane." In Advances in Transdisciplinary Engineering. IOS Press, 2022. http://dx.doi.org/10.3233/atde220473.

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In order to accurately analyse the dynamic performance of the arm segment, a dynamic model of u-shaped thin-walled beam based on one-dimensional high-order beam theory is proposed to predict the three-dimensional displacement of the beam at any point. First, a one-dimensional high-order model is established using Hamilton’s principle. The high-order model considers the displacement field by linear superposition of a set of basis functions that vary axially along the beam. A basis function represents a deformation mode, and interpolation polynomials are used to approximate the three-dimensional displacements of nodes on the center line of the section. At the same time, different section discretization methods are analysed, which have different influences on the precision of the model by discretization of the curved surface part of u-shaped section by straight transposition. Finally, the generalized characteristic of the model is worth to obtain the natural frequency, which is compared with the ANASYS plate and shell theory. The error range of the first 16 orders is within 1.5%. The results show that the discrete mode of the model has a certain influence on the frequency error, and the more discrete nodes of the circular arc part, the higher the accuracy.
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M. Markad, Kanif, and Nilesh Tiwari. "Study of Temperature Variation over Shape Memory Polymer Hybrid Composite under Transverse Loading." In Soft Robotics - Recent Advances and Applications [Working Title]. IntechOpen, 2022. http://dx.doi.org/10.5772/intechopen.107988.

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The chapter presents a nonlinear bending analysis of layered shape memory polymer composite beams under the influence of uniformly distributed transverse load. Simplified Co continuity Finite Element Method based on Higher Order Shear Deformation Theory has been adopted for bending analysis of shape memory polymer composite (SMPC) and shape memory polymer nanocomposite sandwich (SMPNCS) beam. The numerical solutions are obtained by the iterative Newton-Raphson method with Von-Karman nonlinear kinematics. Material properties of SMPC with shape memory polymer (SMP) as matrix and carbon fiber as reinforcements have been calculated by the theory of volume averaging. The effect of temperature on SMP, SMPC, SMP hybrid composite, and SMPNCS has been evaluated for various parameters such as aspect ratio, number of layers, boundary conditions, the volume fraction of carbon fiber, and laminate stacking orientation. The present study provides a detailed explanation of the influence of various parameters on the bending of SMPC and hybrid beam for large strain over a wide range of temperatures, which encompasses the glass transition region (Tg) of SMP. The deflection of the beam over this range of temperature indicates the elastic behavior of SMPC before and after its glass transition region due to constant modulus.
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Worsnip, Alex. "Can Your Total Evidence Mislead About Itself?" In Higher-Order Evidence, 298–316. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198829775.003.0014.

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It’s fairly uncontroversial that you can sometimes get misleading higher-order evidence about what your first-order evidence supports. What is more controversial is whether this can result in a situation where your total evidence is misleading about what your total evidence supports: that is, where your total evidence is misleading about itself. It’s hard to arbitrate on purely intuitive grounds whether any particular example of misleading higher-order evidence is an example of misleading total evidence. This chapter tries to make progress by offering a simple mathematical model that suggests that higher-order evidence will tend to bear more strongly on higher-order propositions about what one’s evidence supports than it does on the corresponding first-order propositions; and then by arguing that given this, it is plausible that there will be some cases of misleading total evidence.
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Kapania, Rakesh K., and Andreas W. Obst. "A New Element for Symmetrically Laminated Cross-Ply Beams based on a Higher-Order Theory." In Advances in Factories of the Future, CIM and Robotics, 147–56. Elsevier, 1993. http://dx.doi.org/10.1016/b978-0-444-89856-2.50018-1.

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Vanitha, Patnala, Gangi Reddy Salla, and Ravindra Pratap Singh. "Correlations in Scattered Phase Singular Beams." In Holography - Recent Advances and Applications [Working Title]. IntechOpen, 2022. http://dx.doi.org/10.5772/intechopen.106484.

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We discuss about the correlations present in the scattered phase singular beams and utilize them for obtaining the corresponding mode information. We experimentally generate the coherence vortices using the cross-correlation functions between the speckle patterns and validate them with the exact analytical expressions. We also explore their propagation characteristics by considering their geometry along with their divergence. We utilize the autocorrelation measurements of speckle patterns for obtaining the mode information. Further, we study the correlations present in scattered perfect optical vortices which lead to a new class of coherence functions, Bessel-Gauss coherence functions, and utilized for generating the non-diffracting random fields, i.e. propagation invariant fields. We utilized these correlation functions, which are order-dependent although the speckle patterns are order-independent, for encrypting the information which has higher advantage than normal random optical fields.
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Clarke, John Hughes. "Present-Day Methods of Depth Measurement." In Continental Shelf Limits. Oxford University Press, 2000. http://dx.doi.org/10.1093/oso/9780195117820.003.0015.

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Bathymetric data are needed to derive the morphological criteria that define the extent of the juridical continental shelf. Two features in particular, the '"foot of slope" and the 2500-m contour, must be defined. The previous chapter considered historical methods of determining bathymetry. This chapter will cover the present day methods that can be used to better meet the need for accurate bathymetry. In order to satisfy the demands of UNCLOS, bathymetric data are required in depths ranging from about 200 m to more than 5000 m. Shallower depths, while useful for demonstrating the morphology of the physical continental shelf, do not bear any relevance to the delineation of juridical continental shelf boundaries, other than where they are required to establish the baseline. Alternate methods to derive bathymetry other than using sound are available. Those involving airborne electromagnetic methods (e.g., electromagnetic induction, red-green lasers, and inversion of sea surface radar images) are not capable of determining depths much in excess of 40 m. The only other method potentially useful for deriving deeper water bathymetry is through inversion of sea surface altimetry obtained from satellites. This will be discussed at the end of this chapter. The optimal method thus remains acoustic. The traditional approach has been to use single-beam echo sounders (see previous chapter). This chapter discusses the more modern '"swath" sonar techniques, which are becoming widely used. The great majority of historic bathymetry has been collected using the single-beam sounding approach. As discussed in chapter 9, this method has a number of limitations, three of the most critical of which are i. incomplete coverage; ii. uncertainty about the exact location of the first arrival of the acoustic pulse; and iii. distortion of short-wavelength topography. In order to achieve more complete coverage, better echo location, and higher spatial resolution, methods were devised to project acoustic energy both within narrower solid angles (figure 10.1) and while deriving this information over angular sectors extending further out from the side of the survey vessel. All the methods commonly applied involved scanning the seabed orthogonal to the ship heading. Sequential scans, accumulated as the ship progresses, form a corridor (or swath) of seabed information (figure 10.2).
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Kan, Qian, and Jinlan Tang. "Researching Mobile-Assisted English Language Learning Among Adult Distance Learners in China." In Mobile Devices in Education, 180–209. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-1757-4.ch012.

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Guided by the conceptual framework for next generation designs for mobile-assisted language learning (MALL) in informal setting, our study investigates how mobile devices impact the learning practices and habits amongst adult distant learners of English at a higher education institution in China. Data sources include quantitative data of 148 completed responses to an online survey and qualitative data from follow-up email interviews. The study demonstrates that students' main motivation for engaging in mobile assisted English learning is to fill in the gaps in their daily schedule in order to maximize available time, and the majority use mobile devices to support formal course learning. The skills and knowledge areas practiced with mobile devices are listening, followed by speaking and pronunciation, vocabulary, reading, and translation. Our study also reveals that teachers play a very limited role as perceived by students, while students expect more support from teachers for their out-of-class hour mobile assisted language learning. The research findings bear significant pedagogical implications in terms of integrating MALL into language learning curriculum, learner support and the need for continuous teacher training.
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Conference papers on the topic "Higher-order beam theory"

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McCarthy, Thomas, and Aditi Chattopadhyay. "A refined higher-order composite box beam theory." In 37th Structure, Structural Dynamics and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1996. http://dx.doi.org/10.2514/6.1996-1470.

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Ramaprasad, Srinivasan, Kurt Gramoll, and Steven Hooper. "Finite element analysis of double cantilever beam specimen using a higher order plate theory." In 35th Structures, Structural Dynamics, and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1994. http://dx.doi.org/10.2514/6.1994-1536.

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Uddin, M. A., M. Arifuzzaman, M. T. Bashir, and I. Saifullah. "An improved inelastic nonlinear modelling of steel-concrete composite beams based on a higher-order beam theory." In 4th Smart Cities Symposium (SCS 2021). Institution of Engineering and Technology, 2021. http://dx.doi.org/10.1049/icp.2022.0371.

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Zhang, Peng, Jianmin Ma, and Menglan Duan. "A New Higher-Order Euler-Bernoulli Beam Element of Absolute Nodal Coordinate Formulation." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-19132.

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Abstract In this study, a new higher-order Euler-Bernoulli beam element of Absolute Nodal Coordinate Formulation (ANCF) is developed for geometrically nonlinear analysis of planar structures. The strain energy of the beam element is derived by applying the definition of the Green–Lagrange strain tensor in continuum mechanics. The first contribution of this research is to realize the accurate calculation of curvature on the beam element node by additionally considering the second derivative of the position vector obtained by quintic Hermite interpolation function. Furthermore, in traditional theory, the independent variable of finite formulation is arc-length coordinate s, while in this work, a correction is come up with and proven that it is actually an equivalent parameter. Some benchmark problems of straight beams are solved by the proposed element and accurate results are obtained by just fewer elements when compared with the other works including the traditional ANCF element and B23 element of ABAQUS. What leads to this accuracy result is that the precise calculation of nodal curvature is obtained from higher order interpolation scheme. The correctness and accuracy of the proposed element are validated in this work and it can be further developed for tackling large deformation and large rotation problems of spatial curved beams.
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Kahrobaiyan, M. H., M. Zanaty, and S. Henein. "An Analytical Model for Beam Flexure Modules Based on the Timoshenko Beam Theory." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67512.

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Short beams are the key building blocks in many compliant mechanisms. Hence, deriving a simple yet accurate model of their elastokinematics is an important issue. Since the Euler-Bernoulli beam theory fails to accurately model these beams, we use the Timoshenko beam theory to derive our new analytical framework in order to model the elastokinematics of short beams under axial loads. We provide exact closed-form solutions for the governing equations of a cantilever beam under axial load modeled by the Timoshenko beam theory. We apply the Taylor series expansions to our exact solutions in order to capture the first and second order effects of axial load on stiffness and axial shortening. We show that our model for beam flexures approaches the model based on the Euler-Bernoulli beam theory when the slenderness ratio of the beams increases. We employ our model to derive the stiffness matrix and axial shortening of a beam with an intermediate rigid part, a common element in the compliant mechanisms with localized compliance. We derive the lateral and axial stiffness of a parallelogram flexure mechanism with localized compliance and compare them to those derived by the Euler-Bernoulli beam theory. Our results show that the Euler-Bernoulli beam theory predicts higher stiffness. In addition, we show that decrease in slenderness ratio of beams leads to more deviation from the model based on the Euler-Bernoulli beam theory.
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Li, R. F., Y. Frostig, and G. A. Kardomateas. "Buckling and Postbuckling of Sandwich Beams With Delaminated Faces Based on Higher Order Core Theory." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0129.

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Abstract Delaminations within the face sheets are often observed when a sandwich structure is exposed to impact loads. The buckling and postbuckling behavior of sandwich beams with delaminated faces is investigated in this work. The governing nonlinear equations, boundary conditions, and continuity conditions are formulated through variational principles. The beam construction consists of upper and lower, metallic or composite laminated symmetric skins, and a soft core of a foam or low strength honeycomb type. A high order theory is used for the core that accounts for the nonlinear distortion of the plane of section of the core and the compressibility in the vertical direction. The delamination considered is an interface crack, in which the substrate includes the transversely flexible core. The case of a debond at one of the skin-core interfaces is also included. The effects of the delamination length and location on the overall and local behavior are examined with an arbitrary initial imperfection.
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Sadeghnejad, Soroush, Mojtaba Sadighi, and Abdolreza Ohadi Hamedani. "An Extended Higher-Order Free Vibration Analysis of Composite Sandwich Beam With Viscoelastic Core." In ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/esda2012-82686.

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Free vibration analysis of sandwich beam with a viscoelastic core based on the extended high-order sandwich panel theory approach is presented. The effects of transverse shear and core compressibility are of high importance in sandwich structures, having an influence on the entire structural behavior especially in vibrations. For applications involving stiffer cores, the high-order sandwich panel theory (HSAPT) cannot accurately predict the shear and axial stress distributions in the core. Thus, by using the “Extended High-Order Sandwich Panel Theory” (EHSAPT), the in-plane rigidity of the core is considered in addition to the compressibility of the core in the transverse direction. The novelty of this theory is that it allows for three generalized coordinates in the core (the axial and transverse displacements at the centroid of the core, and the rotation at the centroid of the core) instead of just one (mid-point transverse displacement) commonly adopted in other available theories. The mathematical formulation uses the Hamilton principle and includes derivation of the governing equations along with the appropriate boundary conditions. The formulation uses the classical thin plate theory for the face sheets and a two-dimensional elasticity theory or equivalent one for the core. In addition, Young modulus, rotational inertia, and kinetic energy of the core are considered and core is assumed as an orthotropic viscoelastic material. The analysis is applicable for any types of loading scheme, localized as well as distributed, and distinguish between loads applied at the upper or the lower face. The obtained results are compared with recent research published by the present authors which was done numerically by using FEM on viscoelastic sandwich beam and the corresponding results of other previous researches. The influence of material properties, face layup and geometry effect on natural frequencies of composite sandwich beams are investigated.
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Unal, Ahmet, and Gang Wang. "Wave Propagation in Multi-Layered Elastic Beam." In ASME 2012 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/smasis2012-7939.

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In this paper, a spectral finite element model (SFEM) is developed for an n-layered elastic beam and subsequently used to investigate its dynamic response and wave propagation characteristics. Each layer of the beam is idealized by a Timoshenko beam, in which shear deformation as well as rotational inertia are included. This higher order theory is critical to capture high frequency response of the multi-layered beam structures. Semi-analytical solutions were determined for the governing equations in order to construct the SFEM. Our frequency predictions were validated by the results of two and three-layer beams in the literature and good correlations were achieved. Fewer elements were used in our SFEM compared to conventional finite element based approaches, which substantially benefits the ultrasonic frequency simulations. Wave propagation responses were calculated for a two-layer beam, in which a notch in the top layer was assumed to represent the damage case. Wave reflection from the notch was observed to indicate the existence of damage. This newly developed SFEM can be served as a platform to conduct comprehensive simulations in order to capture wave propagation characteristics in multi-layered beam structures.
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Ganguly, Krishanu, Pradeep Nahak, and Haraprasad Roy. "Dynamics of Cracked Viscoelastic Beam: An Operator Based Finite Element Approach." In ASME 2017 Gas Turbine India Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gtindia2017-4616.

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The presence of crack introduces local flexibilities and changes physical characteristics of a structure which in turn alter its dynamic behavior. Crack depth, location, orientation and number of cracks are the main parameters that greatly influence the dynamics. Therefore, it is necessary to understand dynamics of cracked structures. Predominantly, every material may be treated as viscoelastic and most of the time material damping facilitates to suppress vibration. Thus present study concentrates on exploring the dynamic behavior of damped cantilever beam with single open crack. Operator based constitutive relationship is used to develop the general time domain, linear viscoelastic model. Higher order equation of motion is obtained based on Euler-Bernoulli and Timoshenko beam theory. Finite element method is utilized to discretize the continuum. Higher order equation is further converted to state space form for Eigen analysis. From the numerical results, it is observed that the appearance of crack decreases the natural frequency of vibration when compared to an uncracked viscoelastic beam. Under cracked conditions, the viscoelastic Timoshenko beam tends to give lower frequency values when compared to viscoelastic Euler-Bernoulli beam due to shear effect.
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Bouchaala, Adam, Ali H. Nayfeh, and Mohammad I. Younis. "The Effect of an Added Mass on the Frequency Shifts of a Clamped-Clamped Microbeam for Bio-Mass Detection." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59667.

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We present analytical formulations to calculate the induced resonance frequency shifts of electrically actuated clamped-clamped microbeams due to an added mass. Based on the Euler-Bernoulli beam theory, we investigate the linear dynamic responses of the beams added masses, which are modeled as discrete point masses. Analytical expressions based on perturbation techniques and a one-mode Galerkin approximation are developed to calculate accurately the frequency shifts under a DC voltage as a function of the added mass and position. The analytical results are compared to numerical solution of the eigenvalue problem. Results are shown for the fundamental as well as the higher-order modes of the beams. The results indicate a significant increase in the frequency shift, and hence the sensitivity of detection, when scaling down to nano scale and using higher-order modes.
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