Comparison of 1D and 2D solutions for a beam under transverse impact
The problem of non-stationary vibration of an elastic beam caused by a transverse impact loading is studied in this work. In particular, two different approaches to the derivation of analytical solution of the problem are compared. The first one is based
Adámek Vítězslav
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Chaotic Response and Bifurcation Analysis of a Timoshenko Beam with Backlash Support Subjected to Moving Masses [PDF]
A simply supported Timoshenko beam with an intermediate backlash is considered. The beam equations of motion are obtained based on the Timoshenko beam theory by including the dynamic effect of a moving mass travelling along the vibrating path.
A. Ariaei, M. Kouchaki, S. Ziaei-Rad
doaj
Bending evaluation of quintuple-layer FG beams with sliding interactions
This paper introduces a model of a quintuple-layer composite beam made of functionally graded materials (FGMs) and shear connectors. A finite element model is developed using the first-order shear deformation theory (FSDT) of Timoshenko, employing a two-
Phung Van Minh +3 more
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Comparison of Different Local Unrefined Beam Theories for Bending and Nano Beams Buckling Analysis
In this study, non unified local shear deformation theory is proposed to consider the bending and buckling of nano beams. This theory is based on the assumption that the cross-sectional and planar displacements consist of bending and shear components ...
hamza madjid berrabah +2 more
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This study examines the static bending behavior of functionally graded beams using a newly developed modified Timoshenko beam element. The mixed finite element formulation and Timoshenko beam theory serve as the foundation for the formulation of the ...
Mofareh Hassan Ghazwani, Pham V. V. Vinh
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Flutter Instability of Timoshenko Cantilever Beam Carrying Concentrated Mass on Various Locations
This paper presents effects of shear deformation on flutter instability of cantilever beam subject to a concentrated follower force. The discrete form of equation of motion is formulated based on the Lagrange.
Majid Sohrabian +2 more
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Dynamic Analysis of AFM in Air and Liquid Environments Considering Linear and Non-linear Interaction Forces by Timoshenko Beam Model [PDF]
The atomic force microscopy of the cantilever beam frequency response behaviour in the liquid environment is different in comparison with air environment.
P. Maleki Moghadam Abyaneh +3 more
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A Study of the Fractal Bending Behavior of Timoshenko Beams Using a Fourth-Order Single Equation
In this paper a new generalized fractal equation for studying the behaviour of self-similar beams using the Timoshenko beam theory is introduced. This equation is established in fractal dimensions by applying the concept of fractal continuum calculus Fα ...
Alexandro Alcántara +5 more
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Vibration Analysis of Fluid Conveying Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory by Spectral Element Method. [PDF]
Yi X, Li B, Wang Z.
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Objective It is aimed to tackle the inefficient accuracy of traditional Euler-Bernoulli beam and Winkler foundation model in calculating settlement induced by shield under-passing existing tunnels. Method Based on the Timoshenko beam theory and Pasternak
WANG Liang +3 more
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