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A mathematical model in three-dimensional piezoelectric continuum to predict non-linear responses of piezoceramic materials

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Title A mathematical model in three-dimensional piezoelectric continuum to predict non-linear responses of piezoceramic materials
 
Creator SAMAL, MK
SESHU, P
VON WAGNER, U
HAGEDORN, P
DUTTA, BK
KUSHWAHA, HS
 
Subject weak electric-fields
longitudinal vibrations
intelligent structures
helicopter rotor
static analysis
behavior
plates
formulation
actuators
analytical solution
piezoceramic
non-linear modelling
perturbation method
 
Description It has been experimentally observed that the piezoceramic materials exhibit different types of non-linearities under different combinations of electrical and mechanical fields. When excited near resonance in the presence of weak electric fields, they exhibit typical non-linearities similar to a Duffing oscillator such as jump phenomena and the presence of superharmonics in the response spectra. In this work, these non-linearities have been modelled for a generalized three-dimensional piezoelectric continuum using higher-order quadratic and cubic terms in the electric enthalpy density function and the virtual work. The identification of the parameters of the model requires a closed form solution for non-linear response of a simplified geometry. A simple proportional damping formulation has been used in the model. Experiments have been conducted on rectangular and cylindrical geometries of piezoceramic PIC 181 at different magnitudes of applied electric fields and results have been compared with those of simulation.
 
Publisher PROFESSIONAL ENGINEERING PUBLISHING LTD
 
Date 2011-08-27T07:27:49Z
2011-12-26T12:57:47Z
2011-12-27T05:45:17Z
2011-08-27T07:27:49Z
2011-12-26T12:57:47Z
2011-12-27T05:45:17Z
2008
 
Type Article
 
Identifier PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 222(11), 2251-2268
0954-4062
http://dx.doi.org/10.1243/09544062JMES1002
http://dspace.library.iitb.ac.in/xmlui/handle/10054/11584
http://hdl.handle.net/10054/11584
 
Language en