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Analytical solution in 2D domain for nonlinear response of piezoelectric slabs under weak electric fields

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Title Analytical solution in 2D domain for nonlinear response of piezoelectric slabs under weak electric fields
 
Creator SAMAL, MK
SESHU, P
 
Subject longitudinal vibrations
static analysis
piezoceramics
behavior
plates
analytical solution
piezoceramic
nonlinear modeling
perturbation method
 
Description Piezoceramic materials exhibit different types of nonlinearities depending upon the magnitude of the mechanical and electric field strength in the continuum. Some of the nonlinearities observed under weak electric fields are: presence Of superharmonics in the response spectra and jump phenomena etc. especially if the system is excited near resonance. In this paper, an analytical Solution (in 2D plane stress domain) for the nonlinear response of a rectangular piezoceramic slab has been obtained by use of Rayleigh-Ritz method and perturbation technique. The eigenfunction obtained from Solution of the differential equation of the linear problem has been Used as the shape function in the Rayleigh-Ritz method. Forced vibration experiments have been conducted oil a rectangular piezoceramic slab by applying varying electric field strengths across the thickness and the results have been compared with those of analytical Solution. The analytical solutions compare well with those of experimental results. These solutions should serve as a method to validate the FE formulations as well as help in the determination of nonlinear material property coefficients for these materials. (C) 2008
 
Publisher ELSEVIER SCIENCE BV
 
Date 2011-07-24T09:21:55Z
2011-12-26T12:49:42Z
2011-12-27T05:35:18Z
2011-07-24T09:21:55Z
2011-12-26T12:49:42Z
2011-12-27T05:35:18Z
2009
 
Type Article
 
Identifier COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 14(6), 2817-2826
1007-5704
http://dx.doi.org/10.1016/j.cnsns.2008.09.033
http://dspace.library.iitb.ac.in/xmlui/handle/10054/6383
http://hdl.handle.net/10054/6383
 
Language en