Topic
Timoshenko beam theory
About: Timoshenko beam theory is a research topic. Over the lifetime, 9426 publications have been published within this topic receiving 200570 citations.
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TL;DR: In this article, the dynamic response of a rotating shaft subject to axial force and moving loads is analyzed by using Timoshenko beam theory and the assumed mode method and the deformations of the shaft are expressed in terms of an inertial reference frame.
62 citations
TL;DR: In this paper, a closed-form solution for the vibration and buckling problems of non-local Euler-Bernoulli cantilever beams and Timoshenko cantilevers is derived.
62 citations
TL;DR: In this article, the authors present two comprehensive analysis methodologies for composite beams and describe experimental results obtained from a thin-walled, rectangular cross-sectional beam, which are in good agreement with the observed twist and strain distributions.
Abstract: Beam theory is widely used as a first approximation in numerous structural applications. When applied to composite beams, the accuracy of beam theory becomes questionable because (1) the shearing and warping deformations become significant, as the shearing stiffness of composite laminates is often very low, and (2) several elastic couplings can occur that strongly influence the behavior of composite beams. The torsional behavior of thin-walled composite beams has important implications for aeronautical structures and is deeply modified by the above nonclassical effects. This paper presents two comprehensive analysis methodologies for composite beams and describes experimental results obtained from a thin-walled, rectangular cross-sectional beam. The theoretical predictions are found in good agreement with the observed twist and strain distributions. Out-of-plane torsional warping of the cross-section is found to be the key factor for an accurate modeling of the torsional behavior of such structures.
62 citations
TL;DR: In this article, the rotordynamics of a double-helical gear transmission system with bearing and gyroscopic effect was investigated using the finite element method, in which Timoshenko beam finite element is used to represent the shaft, a rigid mass for the gear.
Abstract: The rotordynamics of a double-helical gear transmission system is investigated. The equation of motion of the system with bearing and gyroscopic effect is derived by using the finite element method, in which Timoshenko beam finite element is used to represent the shaft, a rigid mass for the gear. Natural frequencies, mode shapes and Campbell diagrams are illustrated to indicate the effects of gear input speed and time varying mesh stiffness. Besides, effects of mesh stiffness on the critical speed of the gear transmission system are analyzed. The numerical results show that the axial force has significant influence on the natural frequency and the mode shape of the double-helical gear transmission system, for which the mix whirling motion dominates the natural characteristics. There are two higher critical speed curves which increase with the mesh stiffness, but one of them is related to the gyroscopic effect.
62 citations
TL;DR: In this article, size-dependent static bending analysis of functionally graded (FG) curved nanobeams based on the Timoshenko beam theory is performed with the application of a stress-driven nonlocal integral model.
62 citations