An analytical approach for free vibration and transient response of functionally graded piezoelectric cylindrical panels subjected to impulsive loads

被引：113
作者：
Bodaghi, M. [1 ]
Shakeri, M. [1 ]
机构：
[1] Amirkabir Univ Technol, Dept Mech Engn, Tehran, Iran
来源：
COMPOSITE STRUCTURES | 2012年 / 94卷 / 05期
关键词：
Functionally graded piezoelectric material; Cylindrical panel; Free vibration; Transient response; Analytical solution; Impulsive load; SHELLS; PLATES;
D O I：
10.1016/j.compstruct.2012.01.009
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this article, the free vibration and dynamic response of simply supported functionally graded piezoelectric cylindrical panel impacted by time-dependent blast pulses are analytically investigated. Using Hamilton's principle, the equations of motion based on the first-order shear deformation theory are derived. Also, Maxwell's electricity equation is taken as one of the governing equations. Three sets of electric surface conditions including closed circuit and two mixtures of closed and open circuit surface conditions are considered. By introducing an analytical approach and using the Fourier series expansions, the Laplace transform and Laplace inverse method, the solution of unknown variables are obtained in the real time domain based on a combination of system frequencies. Finally, the effects of various electric surface conditions, geometric parameters and the material power law index on the free vibration and transient response of functionally graded piezoelectric cylindrical panels subjected to various impulsive loads are examined in detail. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1721 / 1735
页数：15
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