Analysis of Elasticity Solution of Bi-Direction Functionally Graded Piezoelectric Beam Subject to Voltage

This paper presents symplectic method for the derivation of exact solutions of functionally graded piezoelectric beam with the material properties varying exponentially both along the axial and transverse coordinates. In the approach, the related equations and formulas are developed in terms of dual...

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Bibliographic Details
Published inApplied Mechanics and Materials Vol. 166-169; pp. 824 - 827
Main Author Yang, Y Z
Format Journal Article
LanguageEnglish
Published Zurich Trans Tech Publications Ltd 01.05.2012
Subjects
Symplectic Expansion
Functionally Graded Piezoelectric
Hamiltonian
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ISBN9783037854211
3037854219
ISSN1660-9336
1662-7482
1662-7482
DOI10.4028/www.scientific.net/AMM.166-169.824

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Summary:This paper presents symplectic method for the derivation of exact solutions of functionally graded piezoelectric beam with the material properties varying exponentially both along the axial and transverse coordinates. In the approach, the related equations and formulas are developed in terms of dual equations, which can be solved by variables separation and symplectic expansion in Hamiltonian system. To verify advantages of the method, numerical examples of bi-directional functionally piezoelectric beam are discussed.
Bibliography:Selected, peer reviewed papers from the 2nd International Conference on Civil Engineering, Architecture and Building Materials (CEABM 2012), May 25-27, 2012, Yantai, China
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ISBN:9783037854211
3037854219
ISSN:1660-9336
1662-7482
1662-7482
DOI:10.4028/www.scientific.net/AMM.166-169.824