Dynamics of Stress-Driven Two-Phase Elastic Beams.
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TLDR
The dynamic behaviour of micro- and nano-beams is investigated by the nonlocal continuum mechanics, a computationally convenient approach with respect to atomistic strategies, and the obtained outcomes can be useful for the design and optimisation ofmicro-and nano-electro-mechanical systems (M/NEMS).Abstract:
The dynamic behaviour of micro- and nano-beams is investigated by the nonlocal continuum mechanics, a computationally convenient approach with respect to atomistic strategies. Specifically, size effects are modelled by expressing elastic curvatures in terms of the integral mixture of stress-driven local and nonlocal phases, which leads to well-posed structural problems. Relevant nonlocal equations of the motion of slender beams are formulated and integrated by an analytical approach. The presented strategy is applied to simple case-problems of nanotechnological interest. Validation of the proposed nonlocal methodology is provided by comparing natural frequencies with the ones obtained by the classical strain gradient model of elasticity. The obtained outcomes can be useful for the design and optimisation of micro- and nano-electro-mechanical systems (M/NEMS).read more
Citations
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Well-posed two-phase nonlocal integral models for free vibration of nanobeams in context with higher-order refined shear deformation theory:
Pei Zhang,Hai Qing +1 more
TL;DR: In this article, the well-posedness of several common nonlocal models for higher-order refined shear deformation beams is studied, including strain-driven and stuctured beam models.
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Size-dependent nonlinear post-buckling analysis of functionally graded porous Timoshenko microbeam with nonlocal integral models
Yuanjun Tang,Hai Qing +1 more
TL;DR: In this article , a general eigenvalue problem is obtained to determine linear buckling mode shape (LBMS) and nominal buckling load (NBL), and local and nonlocal LBMS based Ritz-Galerkin methods and general differential quadrature method (GDQM) based Newton-Raphson's method are utilized to obtain the numerical solutions for linear and nonlinear NBLs.
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Local/nonlocal mixture integral models with bi-Helmholtz kernel for free vibration of Euler-Bernoulli beams under thermal effect
TL;DR: In this article , the free vibration of Euler-Bernoulli beams subjected to a uniformly thermal environment using two-phase local/nonlocal mixture theory of strain-and stress-driven types is derived.
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A mixed two-phase stress/strain driven elasticity: In applications on static bending, vibration analysis and wave propagation
Shahin Behdad,Mohammad Arefi +1 more
TL;DR: In this paper , a mixture model was proposed for static bending, free vibration and wave propagation in a mixed two-phase stress/strain-driven elasticity system and the new essential relations were developed through examples for Euler-Bernoulli nanobeams.
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Stress-driven local/nonlocal mixture model for buckling and free vibration of FG sandwich Timoshenko beams resting on a nonlocal elastic foundation
TL;DR: In this paper , the buckling and free vibration of functionally graded (FG) sandwich Timoshenko beams resting on an elastic foundation was studied. And the authors considered the behaviors of both the beam and elastic foundation are considered as nonlocal by applying the stress-driven strategy equipped with a bi-Helmholtz kernel.
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