Wave propagation characteristics in magneto-electro-elastic nanoshells using nonlocal strain gradient theory

被引：70

作者：

Ma, L. H. ^{[1
,2
]}

Ke, L. L. ^{[1
]}

Reddy, J. N. ^{[3
]}

Yang, J. ^{[4
]}

Kitipornchai, S. ^{[5
]}

Wang, Y. S. ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Inst Engn Mech, Beijing 100044, Peoples R China

[2] Hebei Univ Architecture, Sch Sci, Zhangjiakou 075000, Peoples R China

[3] Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA

[4] RMIT Univ, Sch Engn, POB 71, Bundoora, Vic 3083, Australia

[5] Univ Queensland, Sch Civil Engn, St Lucia, Qld 4072, Australia

来源：

COMPOSITE STRUCTURES | 2018年 / 199卷

基金：

中国国家自然科学基金;

关键词：

Wave propagation; Magneto-electro-elastic nanoshell; Nonlocal strain gradient theory; Cut-off wave number; FERROELECTRIC PHASE-TRANSITION; FUNCTIONALLY GRADED BEAMS; BUCKLING ANALYSIS; NANOBEAMS; VIBRATION; MODEL;

D O I：

10.1016/j.compstruct.2018.05.061

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, the wave propagation in magneto-electro-elastic (MEE) nanoshells is investigated via two nonlocal strain gradient shell theories, namely, the Kirchhoff-Love shell theory and the first-order shear deformation (FSD) shell theory. By using Hamilton's principle, we derive the governing equations, which are then solved analytically to obtain the dispersion relations of MEE nanoshells. Results are presented to highlight the influences of the temperature change, external electric potential, external magnetic potential, external load, nonlocal parameter and length scale parameter on the wave propagation characteristics of MEE nanoshells. It is found that the electro-magneto-mechanical loadings can lead to the cut-off wave number at which the frequency reaches to zero.

引用

页码：10 / 23

页数：14

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