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, a technique is developed to identify in-situ the tensile force in tie-rods which are used in ancient monumental masonry buildings to eliminate the lateral load exercised by the vaults and arcs.
56 citations
TL;DR: In this paper, coupled effects of nonlocal elasticity and surface properties on static and vibration characteristics of piezoelectric nanobeams using thin beam theory were analyzed using thin-beam theory.
Abstract: This manuscript illustrates coupled effects of nonlocal elasticity and surface properties on static and vibration characteristics of piezoelectric nanobeams using thin beam theory. The mechanical a...
56 citations
TL;DR: In this article, the critical buckling temperature of armchair and zigzag single-walled carbon nanotubes (SWCNTs) subjected to a uniform temperature rise was derived.
Abstract: In this paper, Timoshenko beam model, including the effects of transverse shear deformation and rotary inertia, is employed to study the critical buckling temperature of armchair and zigzag single-walled carbon nanotubes (SWCNTs) subjected to a uniform temperature rise. A closed-form solution for the determination of critical buckling temperature is derived. The solution can be further reduced to obtain the results of the Euler beam model. The results show that the Euler beam model overpredicts the critical buckling temperature of SWCNTs, especially at relatively small length-to-diameter ratios and higher-order modes. In addition, the critical buckling temperature of armchair and zigzag SWCNTs for the first ten modes with different length-to-diameter ratios is compared.
56 citations
TL;DR: In this paper, nonlocal elasticity and Timoshenko beam theory are implemented to study the vibration response of single-walled carbon nanotubes (SWCNTs) embedded in an elastic medium.
Abstract: Nonlocal elasticity theory is a growing technique for the mechanical analyses of microelectromechanical (MEMS) and nanoelectromechanical (NEMS) based structures. The nonlocal parameter accounts for the small size effects when dealing with nanosize structures such as single-walled carbon nanotubes (SWCNTs). In this article, nonlocal elasticity and Timoshenko beam theory are implemented to study the vibration response of SWCNT embedded in an elastic medium. Influence of the surrounding elastic medium on the fundamental frequencies of the SWCNT is investigated. Both Winkler-type and Pasternak-type foundation models are employed to simulate the interaction of the SWCNT with the surrounding elastic medium. A differential quadrature approach is being utilized and numerical solutions for the natural frequencies are obtained. Influences of nonlocal effects, Winkler modulus parameter, Pasternak shear modulus parameter, and aspect ratio on the frequency of SWCNT are analyzed and discussed. The present study illustr...
56 citations
TL;DR: In this paper, a generalized modal approach is presented to solve the equations of motion of a laminated composite beam obtained with a third-order shear deformation theory, where the biorthonormal eigenfunctions of the differential equations expressed in the state form are used to decouple the equations.
Abstract: A generalized modal approach is presented to solve the equations of motion of a laminated composite beam obtained with a third-order shear deformation theory. The biorthonormal eigenfunctions of the differential equations expressed in the state form are used to decouple the equations. To obtain these eigenfunctions for beams with any arbitrary beam boundary conditions, a method is presented. The solution obtained by this approach is used to calculate the beam response for spatially and temporally correlated random loads. Several sets of numerical results are presented to demonstrate the importance of shear deformations in the dynamic analysis of composite beams.
56 citations