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, a new data reduction scheme based on the beam theory and specimen compliance is proposed in order to overcome the difficulties inherent to crack monitoring during propagation, and a cohesive damage model adapted to wood is used to simulate the test.
187 citations
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TL;DR: In this paper, a finite element model for adaptive sandwich beams to deal with either extension or shear actuation mechanism was presented, where an elastic core sandwiched beam between two transversely polarized active surface layers and an axially polarized core was sandwiched between two elastic surface layers.
Abstract: This paper presents a finite element model for adaptive sandwich beams to deal with either extension or shear actuation mechanism The former corresponds to an elastic core sandwiched beam between two transversely polarized active surface layers; whereas, the latter consists of an axially polarized core, sandwiched between two elastic surface layers For both configurations, an electric field is applied through thickness of the piezoelectric layers The mechanical model is based on Bernoulli-Euler theory for the surface layers and Timoshenko beam theory for the core It uses three variables, through-thickness constant deflection, and the mean and relative axial displacements of the core's upper and lower surfaces Augmented by the bending rotation, these are the only nodal degrees of freedom of the proposed two-node adaptive sandwich beam finite element The piezoelectric effect is handled through modification of the constitutive equation, when induced electric potential is taken into account, and additio
186 citations
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TL;DR: In this article, shear correction factors for arbitrary shaped beam cross-sections are calculated based on the equations of linear elasticity and further assumptions for the stress field, and a variational formulation is developed.
Abstract: In this paper shear correction factors for arbitrary shaped beam cross-sections are calculated. Based on the equations of linear elasticity and further assumptions for the stress field the boundary value problem and a variational formulation are developed. The shear stresses are obtained from derivatives of the warping function. The developed element formulation can easily be implemented in a standard finite element program. Continuity conditions which occur for multiple connected domains are automatically fulfilled.
185 citations
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TL;DR: In this paper, the authors investigated the thermoelectric-mechanical vibration of the nanobeams based on nonlocal theory and Timoshenko beam theory and derived the governing equations and boundary conditions by using the Hamilton principle.
Abstract: Thermoelectric-mechanical vibration of the piezoelectric nanobeams is first investigated in this paper based on the nonlocal theory and Timoshenko beam theory. The governing equations and boundary conditions are derived by using the Hamilton principle. The differential quadrature (DQ) method is employed to determine the natural frequencies of the piezoelectric nanobeams with different boundary conditions. The influences of the nonlocal parameter, temperature change, external electric voltage and axial force on the thermoelectric-mechanical vibration characteristics of the piezoelectric nanobeams are discussed in detail. It is found that the nonlocal effect is significant for the natural frequencies of the nanobeams. This study also reveals that the natural frequencies of the nanobeams are quite sensitive to the thermoelectric-mechanical loadings. The results should be relevant to the design and application of the piezoelectric nanodevices.
185 citations
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TL;DR: In this article, it was shown that the use of a first-order linear beam theory results in a spurious loss of bending stiffness, and that a geometrically non-linear (at least second-order) beam theory is sufficient to account for the influence of centrifugal force on bending stiffness.
185 citations