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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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Moving load on a Timoshenko beam [PDF]
The Journal of the Acoustical Society of America, 1990 This paper presents the dynamic response of a simply supported beam excited by moving loads based on the Timoshenko beam theory with corrections for the shear-deformation and rotatory inertia effects. Numerical results for various velocities of moving loads are given, and results are compared with the response of a Bernoulli-Euler beam theory.
Seroj Mackertich
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Stabilization of the nonuniform Timoshenko beam
Journal of Mathematical Analysis and Applications, 2006 AbstractIn this paper we consider a Timoshenko beam with variable physical parameters, we prove that the model can be stabilize by one control force for both internal and boundary cases.
Farid Ammar-Khodja +2 more
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Asymptotic Formulas for the Eigenvalues of the Timoshenko Beam
Journal of Mathematical Analysis and Applications, 2001 AbstractAsymptotic formulas are derived for the eigenvalues of a free-ended Timoshenko beam which has variable mass density and constant beam parameters otherwise. These asymptotic formulas show how the eigenvalues (and hence how the natural frequencies) of such a beam depend on the material and geometric parameters which appear as coefficients in the ...
Bruce Geist, Joyce R. McLaughlin
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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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Peridynamic formulation for Timoshenko beam [PDF]
Procedia Structural Integrity, 2020 It is common to encounter structures with complex geometries including aerospace and ship structures. Moreover, in these structures one dimension can be either much smaller or bigger than other two dimensions. In such cases, special formulations were developed such as beam, plate and shell formulations.
Yang, Zhenghao +2 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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Finite element model of circularly curved Timoshenko beam for in-plane vibration analysis [PDF]
FME Transactions, 2021 Curved beams are used so much in the arches and railway bridges and equipments for amusement parks. There are few reports about the curved beam with the effects of both the shear deformation and rotary inertias.
Nadi Azin, Raghebi Mehdi
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