Geometrical Nonlinearity for a Timoshenko Beam with Flexoelectricity [PDF]
Nanomaterials, 2021 The Timoshenko beam model is applied to the analysis of the flexoelectric effect for a cantilever beam under large deformations. The geometric nonlinearity with von Kármán strains is considered.
Miroslav Repka +2 more
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Elastoplastic Timoshenko beams
, 2009 A Timoshenko type elastoplastic beam equation is derived by dimensional reduction from a general 3D system with von Mises plasticity law. It consists of two second-order hyperbolic equations with an anisotropic vectorial Prandtl--Ishlinskii hysteresis operator.
Pavel Krejčı́ +2 more
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IDENTIFICATION OF SECOND SPECTRUM OF A TIMOSHENKO BEAM USING DIFFERENTIAL TRANSFORM METHOD [PDF]
Journal of Engineering Science and Technology, 2018 In the present work, the vibration characteristics of a Timoshenko beam are examined using Differential Transform Method (DTM) with the end conditions hinge-hinge, fix-hinge, fix-fix and fix-free. The frequencies are computed for the beam with the length
SHALI S., JAFARALI PAROL, NAGARAJA S. R.
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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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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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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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Robust Global Boundary Vibration Control of Uncertain Timoshenko Beam With Exogenous Disturbances
IEEE Access, 2020 In this paper, the dynamics solution problem and the boundary control problem for the Timoshenko beam under uncertainties and exogenous disturbances are addressed.
Mohamed Ahmed Eshag +3 more
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Effect of boundary conditions and constitutive relations on the free vibration of nonlocal beams
Results in Physics, 2020 The free vibrations of nonlocal Euler and Timoshenko beams have been studied extensively, but there still remain some problems concerning boundary conditions and constitutive relations.
Gen Li +3 more
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Transverse Vibration for Non-uniform Timoshenko Nano-beams [PDF]
Mechanics of Advanced Composite Structures, 2015 In this paper, Eringen’s nonlocal elasticity and Timoshenko beam theories are implemented to analyze the bending vibration for non-uniform nano-beams. The governing equations and the boundary conditions are derived using Hamilton’s principle.
Keivan Torabi +2 more
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Lateral-Mode Vibration of Microcantilever-Based Sensors in Viscous Fluids Using Timoshenko Beam Theory [PDF]
, 2014 To more accurately model microcantilever resonant behavior in liquids and to improve lateral-mode sensor performance, a new model is developed to incorporate viscous fluid effects and Timoshenko beam effects (shear deformation, rotatory inertia).
Beardslee, Luke A. +6 more
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