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 paper, the large-amplitude nonlinear vibration characteristics of functionally graded (FG) Timoshenko beams made of porous material is investigated for the first time and the governing equations are derived based on Timoshenko beam theory through Hamilton's principle and they are solved utilizing both Galerkin's method and the method of multiple scales.
145 citations
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TL;DR: In this paper, a coupled nonlinear longitudinal-transverse-rotational set of equations governing the motion of axially functionally graded (AFG) shear deformable tapered beams subjected to external harmonic excitations is derived.
145 citations
01 Aug 1998
TL;DR: In this paper, a mixed-mode delamination test procedure was developed combining double cantilever beam (DCB) mode I loading and end notch flexure (ENF) mode II loading on a split unidirectional laminate.
Abstract: A mixed-mode delamination test procedure was developed combining double cantilever beam (DCB) mode I loading and end notch flexure (ENF) mode II loading on a split unidirectional laminate. By loading the specimen with a lever, a single applied load simultaneously produces mode I and mode II bending loads on the specimen. This mixed-mode bending (MMB) test was analyzed using both finite element procedures and beam theory to calculate the mode I and mode II components of strain energy release rate, G(sub)I and G(sub)II, respectively. The analyses showed that a wide range of G(sub)I/G(sub)II ratios could be produced by varying the applied load position on the loading lever. As the delamination extended, the G(sub)I/G(sub)II ratios varied by less than five percent. The simple beam theory equations were modified to account for the elastic interaction between the two arms of the specimen and to account for shear deformations. The resulting equations agreed closely with the finite element results and provide a basis for selection of G(sub)I/(sub)GII test ratios and a basis for computing the mode I and mode II components of measured delamination toughness. The MMB specimen analysis and test procedures were demonstrated using AS4/PEEK (APC2) unidirectional laminates. The MMB delamination test introduced in this paper is rather simple and is believed to offer several advantages over most current mixed-mode test procedures.
145 citations
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TL;DR: In this paper, the bending, buckling and free vibration responses of Timoshenko microbeams made of functionally graded materials (FGMs) are studied, and the governing equations and associated boundary conditions are discretized by employing generalized differential quadrature (GDQ) method.
144 citations
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TL;DR: In this article, the basic principles of Generalized Beam Theory were introduced and used to analyse cold-formed sections in which distortion of the cross-section is significant, and the calculation procedure was illustrated by a detailed numerical example.
143 citations