Dynamic instability analysis of magneto-electro-elastic beams with uncertain parameters under static and parametric electric and magnetic fields

被引：13

作者：

Azrar, A. ^{[1
]}

Ben Said, M. ^{[1
]}

Azrar, L. ^{[2
,3
]}

Aljinaidi, A. A. ^{[3
]}

机构：

[1] Univ Abdelmalek Essaadi, Fac Sci & Tech Tangier, Math Modeling & Control, BP 416, Tangier, Morocco

[2] Mohammed V Univ Rabat, Appl Math & Info Dept, M2CS, Res Ctr STIS, Rabat, Morocco

[3] Kind Abdulaziz Univ, Dept Mech Engn, Fac Engn, Jeddah, Saudi Arabia

来源：

COMPOSITE STRUCTURES | 2019年 / 226卷

关键词：

Dynamic; Vibration; Uncertain parameters; Magnetoelectric; Piezomagnetic; Piezoelectric; Composite; Timoshenko; Beam; Parametric instability; CARBON NANOTUBES; FREE-VIBRATION; WAVE-PROPAGATION; NANOBEAMS;

D O I：

10.1016/j.compstruct.2019.111185

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Parameters uncertainty effects on the dynamic instability behavior of magneto-electro-elastic beams subjected to parametric electric and magnetic excitations are investigated. Several random parameters that may follow various distribution laws are considered. Based on the Timoshenko beam model, a dynamic stochastic problem is formulated. The differential quadrature method is used for the space domain and a modal time domain is formulated. Frequency and time domains are considered and various stochastic methodological approaches are elaborated for numerical solutions. The vibration and divergence instability with respect to static electric and magnetic fields are analyzed. For the random analysis the general polynomial chaos, conditional and Monte Carlo methods are used and a large number of random coefficients as well as random external parametric excitations are considered. The effects of considered random parameters on the dynamic and parametric responses with respect to electric and magnetic fields are investigated.

引用

页数：16

共 27 条

[1] On the dynamic stability of embedded single-walled carbon nanotubes including thermal environment effects [J].