Nonlinear analysis of forced vibration of nonlocal third-order shear deformable beam model of magneto-electro-thermo elastic nanobeams

被引：90

作者：

Ansari, R. ^{[1
]}

Hasrati, E. ^{[1
]}

Gholami, R. ^{[2
]}

Sadeghi, F. ^{[1
]}

机构：

[1] Univ Guilan, Dept Mech Engn, Rasht, Iran

[2] Islamic Azad Univ, Dept Mech Engn, Lahijan Branch, Lahijan, Iran

来源：

COMPOSITES PART B-ENGINEERING | 2015年 / 83卷

关键词：

Nano-structures; Vibration; Numerical analysis; WALLED CARBON NANOTUBES; WAVE-PROPAGATION; SURFACE PIEZOELECTRICITY; MECHANICAL VIBRATION; SIZE; NANOPLATE; SCALE;

D O I：

10.1016/j.compositesb.2015.08.038

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper deals with the forced vibration behavior of nonlocal third-order shear deformable beam model of magneto-electro-thermo elastic (METE) nanobeams based on the nonlocal elasticity theory in conjunction with the von Karman geometric nonlinearity. The METE nanobeam is assumed to be subjected to the external electric potential, magnetic potential and constant temperature rise. Based on the Hamilton principle, the nonlinear governing equations and corresponding boundary conditions are established and discretized using the generalized differential quadrature (GDQ) method. Thereafter, using a Galerkin-based numerical technique, the set of nonlinear governing equations is reduced into a time-varying set of ordinary differential equations of Duffing type. The pseudo-arc length continuum scheme is then adopted to solve the vectorized form of nonlinear parameterized equations. Finally, a comprehensive study is conducted to get an insight into the effects of different parameters such as nonlocal parameter, slenderness ratio, initial electric potential, initial external magnetic potential, temperature rise and type of boundary conditions on the natural frequency and forced vibration characteristics of METE nanobeams. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：226 / 241

页数：16

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