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 authors examined the accuracy, reliability and stability of the size-dependent Timoshenko beam elements in the static bending of cantilevered, simply supported and doubly clamped Timoshenko beams.
64 citations
TL;DR: In this paper, the authors conduct a fairly complete study on Timoshenko beams with pointwise feedback controls and seek to obtain information about the eigenvalues, eigenfunctions, Riesz-basis-property, spectrum-determined-growth-condition, energy decay rate and various stabilities for the beams.
Abstract: We intend to conduct a fairly complete study on Timoshenko beams with pointwise feedback controls and seek to obtain information about the eigenvalues, eigenfunctions, Riesz-Basis-Property, spectrum-determined-growth-condition, energy decay rate and various stabilities for the beams. One major difficulty of the present problem is the non-simplicity of the eigenvalues. In fact, we shall indicate in this paper situations where the multiplicity of the eigenvalues is at least two. We build all the above-mentioned results from an effective asymptotic analysis on both the eigenvalues and the eigenfunctions, and conclude with the Riesz-Basis-Property and the spectrum-determined-growth-condition. Finally, these results are used to examine the stability effects on the system by the location of the pointwise control relative to the length of the whole beam.
64 citations
TL;DR: In this paper, the elastic modulus, Poisson's ratio, and yield stress of porous biomaterials made by repeating the same octahedral unit cell in all spatial directions were analyzed.
64 citations
TL;DR: In this paper, the von-Karman hypothesis and Timoshenko beam theory are used to model the nanoscale pipe as a nonlinear Timoshenko nanobeam and derive the governing equations of motion and associated boundary conditions incorporating the surface stress effect.
Abstract: This paper is aimed to examine the geometrically nonlinear vibration and stability of nanoscale pipe conveying fluid incorporating surface stress effect. To approach this, the von-Karman hypothesis and Timoshenko beam theory are used to model the nanoscale pipe as a nonlinear Timoshenko nanobeam. Then, Hamilton’s principle and the Gurtin–Murdoch continuum elasticity are used to derive the governing equations of motion and associated boundary conditions incorporating the surface stress effect. Afterward, by the generalized differential quadrature method and harmonic balance method, the obtained nonlinear differential equations are discretized and simplified, before solving numerically through the Newton–Raphson method. The effects of the surface stress parameters on the stability and imaginary and real parts of frequency of nanopipes are discussed. Results are performed for nanopipes with different end supports made of silicon (Si) and aluminum (Al).
64 citations
TL;DR: In this article, the damped forced vibration of single-walled carbon nanotubes (SWCNTs) is analyzed using a new shear deformation beam theory, which is accompanied with higher-order nonlocal strain gradient theory where the influences of both stress nonlocality and strain gradient size-dependent effects are taken into account.
64 citations