A Static Analysis of Piezo-laminated Shell Structures

An analytical solution for piezo-laminated shell structure and/or shell embedded smart material lamina and influenced by thermo-magneto-electro-elastic (TMEE) load are presented in this paper. A novel fundamental theory was derived based on the generic first-order transversally shearable deformation theory (FSDT) involving Codazzi-Gauss geometrical nonlinearity, in which this fundamental equations and its boundary conditions were strenuously derived using Hamilton's principle with cooperating of Gibbs free energy functions. The theory is casted in a version of general laminated composite shell of revolution in order to be simplified to account for commonly occurring shell geometries and intended for wide range of common smart materials. Then, the developed theory was applied on case of piezo-laminated composites shell of rectangular plane-form having large curvature. The generic forced-solution procedure for the responses was derived, and its mode shapes were evaluated in the simply supported boundary condition. The center deflection was selected among the primary variable for validation and verification purpose. Four different laminations schemes were considered in this study.
Keywords: Composite structures, Smart composite, Magneto electro elastic, Reduced constitutive matrix, shell/plate/lamina