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Variational Derivation of Truncated Timoshenko-Ehrenfest Beam Theory [PDF]
Journal of Applied and Computational Mechanics, 2022 The beam theory allowing for rotary inertia and shear deformation and without the fourth order derivative with respect to time as well as without the slope inertia, as was developed by Elishakoff through the dynamic equilibrium consideration, is derived ...
Maria De Rosa +2 more
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Further Insights Into the Timoshenko–Ehrenfest Beam Theory
Journal of Vibration and Acoustics, Transactions of the ASME, 2022 Abstract In this paper, the theory of a Timoshenko-Ehrenfest beam is revisited and given a new perspective with particular emphasis on the relative significances of the parameters underlying the theory. The investigation is intended to broaden the scope and applicability of the theory.
Elishakoff I, J R Banerjee
exaly +4 more sources
Applied Sciences, 2020 Based on the classical Timoshenko beam theory, the rotary inertia caused by shear deformation is further considered and then the equation of motion of the Timoshenko beam theory is modified.
Chunfeng Wan +6 more
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Dynamic Response of Slope Inertia-Based Timoshenko Beam under a Moving Load
Applied Sciences, 2022 In this paper, the dynamic response of a simply supported beam subjected to a moving load is reinvestigated. Based on a new beam theory, slope inertia-based Timoshenko (SIBT), the governing equations of motion of the beam are derived.
Tuo Lei +4 more
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Analytic solutions for free vibration analysis of laminated beams in three-dimensional statement [PDF]
EPJ Web of Conferences, 2019 In this research we consider free vibrations of laminated beams in terms of three-dimensional linear theory of elasticity. Analytic solutions for natural frequencies of laminated beams are obtained by using an asymptotic splitting method.
Golushko Sergey +2 more
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On the valid frequency range of Timoshenko beam theory [PDF]
Journal of Sound and Vibration, 2006 Abstract The frequency equation of Timoshenko beam theory factorises for hinged–hinged end conditions, leading to a first and second spectrum of natural frequencies; the latter is largely inaccurate and can be isolated and disregarded. For the majority of other end conditions, when the frequency equation does not factorise, one may think in terms of ...
Stephen, N.G., Puchegger, S.
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Nonlocal Buckling and Vibration Analysis of Triple-Walled ZnO Piezoelectric Timoshenko Nano-beam Subjected to Magneto-Electro-Thermo-Mechanical Loadings [PDF]
Mechanics of Advanced Composite Structures, 2015 In this study, using the non-local elasticity theory, the buckling and vibration analysis of triple- walled ZnO piezoelectric Timoshenko beam on elastic Pasternak foundation is analytically investigated under magneto-electro-thermo-mechanical loadings ...
Mehdi Mohammadimehr +2 more
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Mathematics, 2022 In this paper, the interpolation matrix method (IMM) is proposed to solve the buckling critical load of axially functionally graded (FG) Timoshenko beams.
Renyu Ge +4 more
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Applied Sciences, 2021 Permeable porous implants must satisfy several physical and biological requirements in order to be promising materials for orthopaedic application: they should have the proper levels of stiffness, permeability, and fatigue resistance approximately ...
Reza Hedayati +3 more
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QMU Analysis of Flexoelectric Timoshenko Beam by Evidence Theory
Advances in Mathematical Physics, 2023 In recent years, with the rapid development of nanotechnology, a new type of electromechanical coupling effect similar to the piezoelectric effect, the flexoelectric effect, has gradually come into the public’s view. The flexoelectric beam that is the main structural unit of the flexoelectric signal output has broad application prospects in the next ...
Feng Zhang +5 more
openaire +3 more sources