Dynamic analysis of laminated composite thermo-magneto-electro-elastic shells

Modeling of piezo-laminated shell structure and/or shell embedded smart lamina influenced by thermo-magneto-electro-elastic load presents a challenge to be formulated and solved. We derived an analytical model based on the first-order transversally shear deformation theory with involvement of Codazz...

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Bibliographic Details
Main Authors: Albarody, T.M.B., Al-Kayiem, H.H.
Format: Article
Published: Korean Society of Mechanical Engineers 2014
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84920705165&doi=10.1007%2fs12206-014-0801-3&partnerID=40&md5=3b08219cc8e2d410b0391a396d5c0648
http://eprints.utp.edu.my/31063/
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Summary:Modeling of piezo-laminated shell structure and/or shell embedded smart lamina influenced by thermo-magneto-electro-elastic load presents a challenge to be formulated and solved. We derived an analytical model based on the first-order transversally shear deformation theory with involvement of Codazzi-Gauss geometrical discretion. The present invented model and the desired boundary conditions were rigorouslyderived using Hamilton�s principle with cooperationof Gibbs free energy functions. The model was castin theversion of a general laminated composite shell of revolution, in order to be simplified to account for most occurring shell geometries, and intended for wide range of smart materials. To ensure a conventional effective medium model, a rectangular plane shell of zero and large curvatures wasselected for analysis to justify the model. Hence, the generic forced-solution procedures for the response were derived, and its natural frequencies were evaluated in a simply supported boundary condition. Investigatedexamples areaccompanied and noteworthy conclusions drawn which highlight the issues of the implementation of the exact solution, implication of the effects of the material properties, lay-ups of the constituent layers, and shell parameters on the free vibrational behavior. © 2014, The Korean Society of Mechanical Engineers and Springer-Verlag Berlin Heidelberg.