Results 61 to 70 of about 818,508 (239)
, 2015 This article presents the solution for free vibration of nanobeams based on Eringen nonlocal elasticity theory and Timoshenko beam theory. The small scale effect is considered in the first theory, and the transverse shear deformation effects as well as ...
F. Ebrahimi, Parisa Nasirzadeh
semanticscholar +1 more source
Vibration Characteristics of Piezoelectric Microbeams Based on the Modified Couple Stress Theory
Shock and Vibration, 2014 The vibration behavior of piezoelectric microbeams is studied on the basis of the modified couple stress theory. The governing equations of motion and boundary conditions for the Euler-Bernoulli and Timoshenko beam models are derived using Hamilton’s ...
R. Ansari +2 more
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Applied Mechanics, 2023 The main objective of this paper is to study the free vibration of a Timoshenko–Ehrenfest single-walled carbon nanotube based on the nonlocal theory and taking surface effects into account.
Maria Anna De Rosa +3 more
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Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials [PDF]
, 2018 We consider elastic waves in a two-dimensional periodic lattice network of Timoshenko-type beams. We show that for general configurations involving certain highly-contrasting components a high-contrast modification of the homogenization theory is capable of accounting for bandgaps, explicitly relating those to low resonant frequencies of the `soft ...
arxiv +1 more source
Effect of boundary conditions and constitutive relations on the free vibration of nonlocal beams
Results in Physics, 2020 The free vibrations of nonlocal Euler and Timoshenko beams have been studied extensively, but there still remain some problems concerning boundary conditions and constitutive relations.
Gen Li +3 more
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On the provenance of hinged-hinged frequencies in Timoshenko beam theory [PDF]
Computers & Structures, 2018 Abstract An exact differential equation governing the motion of an axially loaded Timoshenko beam supported on a two parameter, distributed foundation is presented. Attention is initially focused on establishing the provenance of those Timoshenko frequencies generated from the hinged-hinged case, both with and without the foundation being present ...
William Paul Howson, Andrew J. Watson
openaire +2 more sources
Maltsev bases for partially commutative nilpotent groups [PDF]
arXiv, 2021 We construct an ordered set of commutators in a partially commutative nilpotent group $F(X; \Gamma; \mathfrak N_m)$. This set allows us to define a canonical form for each element of $F(X; \Gamma; \mathfrak N_m)$. Namely, we construct a Maltsev basis for the group $F(X; \Gamma; \mathfrak N_m).$
arxiv
Shock and Vibration, 2012 In the existing reports regarding free and forced vibrations of the beams, most of them studied a uniform beam carrying various concentrated elements using Bernoulli-Euler Beam Theory (BET) but without axial force. The purpose of this paper is to utilize
Yusuf Yesilce
doaj +1 more source
A Justification of the Timoshenko Beam Model through $\boldsymbolΓ$-Convergence [PDF]
arXiv, 2015 We validate the Timoshenko beam model as an approximation of the linear-elasticity model of a three-dimensional beam-like body. Our validation is achieved within the framework of $\Gamma$-convergence theory, in two steps: firstly, we construct a suitable sequence of energy functionals; secondly, we show that this sequence $\Gamma$-converges to a ...
arxiv
Wave propagation characteristics in nanoporous metal foam nanobeams
Results in Physics, 2019 This research is devoted to the wave propagation characteristics analysis of nanobeams made of nanoporous metal foams. Three nanoporosity distribution models, namely, symmetry, asymmetry and uniform distributions, are taken into account.
Yan Qing Wang, Chen Liang
doaj