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

다국어 초록 (Multilingual Abstract)

Modeling of piezo-laminated shell structure and/or shell embedded smart lamina influenced by thermo-magneto-electro-elastic loadpresents a challenge to be formulated and solved. We derived an analytical model based on the first-order transversally shear deformationtheory with involvement of Codazzi-Gauss geometrical discretion. The present invented model and the desired boundary conditions wererigorouslyderived using Hamilton's principle with cooperationof Gibbs free energy functions. The model was castin theversion of a generallaminated composite shell of revolution, in order to be simplified to account for most occurring shell geometries, and intended forwide range of smart materials. To ensure a conventional effective medium model, a rectangular plane shell of zero and large curvatureswasselected for analysis to justify the model. Hence, the generic forced-solution procedures for the response were derived, and its naturalfrequencies were evaluated in a simply supported boundary condition. Investigatedexamples areaccompanied and noteworthy conclusionsdrawn 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.

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