Free vibration of a FGPM circular plate placed in a uniform magnetic field

被引：0
作者：
Hong-Liang Dai
Ting Dai
Lei Yang
机构：
[1] Hunan University,State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body
[2] Chongqing University of Technology,Key Laboratory of Manufacture and Test Techniques for Automobile Parts, Ministry of Education
[3] Hunan University,Department of Engineering Mechanics, College of Mechanical & Vehicle Engineering
来源：
Meccanica | 2013年 / 48卷
关键词：
Free vibration; FGPM; Circular plate; Magnetic field;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, free vibration of a circular plate composed of a transversely isotropic functionally graded piezoelectric material (FGPM) placed in a uniform magnetic field is investigated. Material properties are assumed to depend on the thickness of the circular plate and they are expressed as the same exponential function of h. The problem of free vibration for the transversely isotropic FGPM circular plate with clamped and simply supported boundary conditions is solved by means of the state space method. Numerical examples and some useful discussions are given to demonstrate the significant influence of material inhomogeneity, and adopting a certain value of the graded index can optimize structures of the circular plate. This will be of particular importance in modern engineering design.
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页码：2339 / 2347
页数：8
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共 62 条
[1]  
Yang ZG(2003)Exact solution for axisymmetric free vibration of a functionally graded piezoelectric circular plate Chin Q Mech 24 506-511
[2]  
Zhong Z(2007)Free vibration of functionally graded circular plates in thermal environment J Vib Eng 20 353-360
[3]  
Dai Y(2008)Nonlinear free and forced vibration analysis of thin circular functionally graded plates J Sound Vib 310 966-984
[4]  
Li SR(2008)Vibration amplitude and thermal effects on the nonlinear behavior of thin circular functionally graded plates Int J Mech Sci 50 445-454
[5]  
Fan LL(2007)Semi-analytical solution for three-dimensional vibration of functionally graded circular plates Comput Methods Appl Mech Eng 196 4901-4910
[6]  
Allahverdizadeh A(2009)Three-dimensional dynamical analysis of functionally graded magnetoelectro-elastic circular plates J Tongji Univ, Nat Sci 37 749-754
[7]  
Naei MH(2002)On free vibration of a functionally graded piezoelectric rectangular plate Acta Mech 153 207-216
[8]  
Nikkhah BM(2005)Three dimensional exact solution for free vibration of functionally gradient piezoelectric circular plate Chin Q Mech 26 81-86
[9]  
Allahverdizadeh A(2008)Analytical investigation on axisymmetric free vibrations of moderately thick circular functionally graded plate integrated with piezoelectric layers J Mech Sci Technol 22 1058-1072
[10]  
Naei MH(2009)Nonlinear dynamic response of axisymmetric piezoelectric circular plates Chin J Appl Mech 26 467-472
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