Surface effects on the quasi-periodical free vibration of the nanobeam: semi-analytical solution based on the residue harmonic balance method

Zhao, Demin; Hao, Peng; Wang, Jiangwei; Liu, Jianlin

doi:10.1007/s11012-020-01140-2

Cited by 3 publications

(1 citation statement)

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“…Yang [9] analyzed the large deformation of nanobeams with considering the influence of surface energy by surface-energy-based model and the core-shell model. The governing equation of the nanobeam considering the nonlinear curvature and surface effects is established, Zhao [10] studied the surface effects on quasi-periodical vibration is significant. Shahrokh [11] stuied the damping vibration behavior of two-phase local/nonlocal viscoelastic nanobeams in conjunction with surface effects and the governing equation of Euler -Bernoulli nanobeam and corresponding constitutive boundary conditions are presented.…”

Section: Introductionmentioning

confidence: 99%

Large Bending Deformation of Piezoelectric Nanobeam with Surface Energy Model

Fan

2021

Preprint

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In the present paper, we analyze the influence of surface effect on the nonlinear bending behavior of piezoelectric nanobeams by Euler-Bernoulli model and surface energy model. Based on the principle of minimum potential energy and the electromagnetic theory, the nonlinear governing equation as well as the boundary conditions is deducted incorporated surface effects and piezoelectric effects. The effect of surface effect on bending deformation and induced charge of piezoelectric beams under different boundary conditions is discussed under the condition of small deformation and large deformation. The results show that, under the condition of small deformation, the surface effect reduces the bending deformation and the inductive charge, under the condition of large deformation, the surface effect has little effect on the bending deformation of piezoelectric nanobeams. Furthermore, the external constraints and cross-section width b of the piezoelectric nanobeam have significant effect on the bending deformation stiffness. these conclusions have important guiding significance for the design and correction of nanobeams-based nanomechanical systems and piezoelectric nanofunctional devices.

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Section: Introductionmentioning

confidence: 99%