Closure to “Discussions of ‘Flexural Vibrations in Uniform Beams According to the Timoshenko Theory’” (1954, ASME J. Appl. Mech., 21, pp. 202–203) [PDF]
, 1954 Robert A. Anderson
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A Study of the Fractal Bending Behavior of Timoshenko Beams Using a Fourth-Order Single Equation
BuildingsIn 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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Chaotic Response and Bifurcation Analysis of a Timoshenko Beam with Backlash Support Subjected to Moving Masses [PDF]
International Journal of Railway Research, 2014 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
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A Spinning Finite Beam Element of General Orientation Analyzed With Rayleigh/Timoshenko/Saint-Venant Theory [PDF]
, 1994 Thomas Abrahamsson +1 more
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Comparison of Different Local Unrefined Beam Theories for Bending and Nano Beams Buckling Analysis
Journal of Materials and Engineering Structures, 2016 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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MathematicsThis 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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Shock and Vibration, 2013 Dynamic analysis of foundation plate-beam systems with transverse shear deformation is presented using modified Vlasov foundation model. Finite element formulation of the problem is derived by using an 8-node (PBQ8) finite element based on Mindlin plate ...
Korhan Ozgan
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On the Euler-Bernoulli anel Timoshenko-Ehrenfest beam theories under fractional calculus approach
, 2021 José Ivelton S. Lustosa +2 more
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Flutter Instability of Timoshenko Cantilever Beam Carrying Concentrated Mass on Various Locations
Latin American Journal of Solids and StructuresThis 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]
International Journal of Advanced Design and Manufacturing Technology, 2015 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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