Vibration characteristics analysis of flexoelectric Timoshenko nano-beam in viscoelastic medium

被引：0

作者：

Zhang D. ^{[1
]}

Wu D. ^{[1
]}

Lei Y. ^{[1
]}

机构：

[1] College of Aerospace Science and Engineering, National University of Defense Technology, Changsha

来源：

Guofang Keji Daxue Xuebao/Journal of National University of Defense Technology | 2021年 / 43卷 / 06期

关键词：

Flexoelectric effect; Nonlocal theory; Timoshenko beam model; Viscoelastic medium;

D O I：

10.11887/j.cn.202106002

中图分类号：

学科分类号：

摘要：

Based on the Hamiltonian principle and taking nonlocal effect, piezoelectric effect and flexoelectric effect into consideration, the vibration governing equation and boundary conditions of the Timoshenko nano-beam in the viscoelastic medium were established, and the method of solving the governing equation of flexoelectric nano-beam with simply supported boundary conditions was adopted. The effects of nonlocal parameters, flexoelectric effect and viscoelastic medium on the vibration characteristics of the flexoelectric nano-beam were systematically studied. The results show that the transverse flexoelectric coefficient can significantly increase the structural stiffness of the flexoelectric nano-beam, while the nonlocal parameters and the tangential flexoelectric coefficient can reduce the structural stiffness of the system. In addition, the critical damping coefficient of the viscoelastic medium, in which the flexoelectric nanobeam no longer reciprocating vibration, can be obtained by studying the effects of viscoelastic medium. Research results can provide a theoretical basis for the extension and application of flexoelectric nano-beam in energy harvester. © 2021, NUDT Press. All right reserved.

引用

页码：8 / 16

页数：8

共 27 条

[1] ZHAO N, ZHANG S, YU F R, Et al., Exploiting interference for energy harvesting: a survey, research issues, and challenges, IEEE Access, 5, pp. 10403-10421, (2017)
[2] CHEN Chunlin, LI Zhaoqi, LIANG Xu, Et al., Electromechanical coupling model and performance analysis of the unimorph cantilever beam-based flexoelectric energy harvester, Chinese Journal of Solid Mechanics, 41, 2, pp. 159-169, (2020)
[3] MA W H, CROSS L E., Observation of the flexoelectric effect in relaxor Pb(Mg1/3Nb2/3)O3 ceramics, Applied Physics Letters, 78, 19, pp. 2920-2921, (2001)
[4] MA W H, CROSS L E., Flexoelectric polarization of barium strontium titanate in the paraelectric state, Applied Physics Letters, 81, 18, pp. 3440-3442, (2002)
[5] MA W H, CROSS L E., Strain-gradient-induced electric polarization in lead zirconate titanate ceramics, Applied Physics Letters, 82, 19, pp. 3293-3295, (2003)
[6] MA W H, CROSS L E., Flexoelectric effect in ceramic lead zirconate titanate, Applied Physics Letters, 86, 7, (2005)
[7] MA W H, CROSS L E., Flexoelectricity of barium titanate, Applied Physics Letters, 88, 23, (2006)
[8] HU S L, SHEN S P., Variational principles and governing equations in nano-dielectrics with the flexoelectric effect, Science China Physics, Mechanics and Astronomy, 53, 8, pp. 1497-1504, (2010)
[9] MARANGANTI R, SHARMA N D, SHARMA P., Electromechanical coupling in nonpiezoelectric materials due to nanoscale nonlocal size effects: Green's function solutions and embedded inclusions, Physical Review B, 74, (2006)
[10] CHEN C Q, SHI Y, ZHANG Y S, Et al., Size dependence of Young's modulus in ZnO nanowires, Physical Review Letters, 96, 7, (2006)

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