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.
J R Banerjee +2 more
exaly +4 more sources
Free vibration and buckling analysis of axially functionally graded tapered Timoshenko beams using B-spline-based isogeometric analysis [PDF]
HeliyonThis study considers Timoshenko beam theory and the isogeometric analysis method to investigate the free vibration and buckling of axially functionally graded (AFG) tapered beams.
Farzad Abdi +6 more
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Timoshenko–Ehrenfest Beam‐Based Reconfigurable Elastic Metasurfaces for Multifunctional Wave Manipulation [PDF]
Advanced ScienceHerein, a Timoshenko–Ehrenfest beam‐based reconfigurable elastic metasurface is introduced that can perform multifunctional wave phenomena within a single substrate, featuring high transmission in the ultrabroadband frequency range.
Geon Lee +4 more
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A Timoshenko beam theory with pressure corrections for layered orthotropic beams
International Journal of Solids and Structures, 2011 AbstractA Timoshenko beam theory for layered orthotropic beams is presented. The theory consists of a novel combination of three key components: average displacement and rotation variables that provide the kinematic description of the beam, stress and strain moments used to represent the average stress and strain state in the beam, and the use of exact
Graeme J Kennedy, Joaquim R R A Martins
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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
doaj +1 more source
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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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.
openaire +2 more sources
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
doaj +1 more source