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Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories [PDF]
, 2012 In this paper, various higher-order shear deformation beam theories for bending and free vibration of functionally graded beams are developed. The developed theories account for higher-order variation of transverse shear strain through the depth of the ...
Thai, Huu-Tai, Vo, Thuc
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Modal Perturbation Method for the Dynamic Characteristics of Timoshenko Beams
Shock and Vibration, 2005 Timoshenko beams have been widely used in structural and mechanical systems. Under dynamic loading, the analytical solution of a Timoshenko beam is often difficult to obtain due to the complexity involved in the equation of motion. In this paper, a modal
Menglin Lou, Qiuhua Duan, Genda Chen
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Elastic instability and free vibration analyses of axially functionally graded Timoshenko beams with variable cross-section [PDF]
Journal of Structural and Construction Engineering, 2020 In this paper, the critical buckling loads and natural frequencies of axially functionally graded non-prismatic Timoshenko beam with different boundary conditions are acquired using the Finite Difference Method (FDM).
Masoumeh Soltani +2 more
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Further insights into the Timoshenko-Ehrenfest beam theory [PDF]
, 2022 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.
Banerjee, J.R. +3 more
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Shock and Vibration, 2007 This paper presents finite element formulations for an elastic Timoshenko beam subjected to moving concentrated forces. The results obtained by the present method are compared with those obtained by the assumed mode method published in the existing ...
Ping Lou, Gong-lian Dai, Qing-yuan Zeng
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Vibration of Piezoelectric Nanowires Including Surface Effects [PDF]
Journal of Nanostructures, 2014 In this paper, surface and piezoelectric effects on the vibration behavior of nanowires (NWs) are investigated by using a Timoshenko beam model. The electric field equations and the governing equations of motion for the piezoelectric NWs are derived with
R. Ansari +3 more
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Materials Research Express, 2020 The present paper addresses developing the Dynamic Stiffness Method (DSM) for natural frequency analysis of functionally graded beam with piezoelectric patch based on the Timoshenko beam theory and power law of material grading.
Nguyen Tien Khiem +2 more
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Macaulay's Method for a Timoshenko Beam [PDF]
International Journal of Mechanical Engineering Education, 2007 The Macaulay bracket notation is familiar to many engineers for the deflection analysis of a Euler–Bernoulli beam subject to multiple or discontinuous loads. An expression for the internal bending moment, and hence curvature, is valid at all locations along the beam, and the deflection curve can be calculated by integrating twice with respect to the ...
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Shock and Vibration, 2014 This paper presents formulations for a Timoshenko beam subjected to an accelerating mass using spectral element method in time domain (TSEM). Vertical displacement and bending rotation of the beam were interpolated by Lagrange polynomials supported on ...
Guangsong Chen, Linfang Qian, Qiang Yin
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Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory [PDF]
, 2013 The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium ...
Thai, Huu-Tai +2 more
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