Dynamic Response of Magneto-Thermo-Electro-elastic shell structure closed-circuit surface condition

An analytical solution for piezolaminated shell structure and embedded smart materials is presented in this study. In this study, the fundamental theory was derived based on the generic first-order transversely shearable deformation theory involving Codazzi-Gauss geometrical discretion. The fundamental equation and its boundary conditions was strenuously derived using Hamilton's principle with cooperating of Gibbs free energy function. The theory was casted in version of shell of revolution, in order to be simplified to account for commonly occurring sensors and actuator geometries and intended for wide range of common smart materials. Then the developed theory was solved by the generic forced-solution procedure. The responses and their frequency parameters were evaluated in the simply supported boundary condition. The results have shown a close agreement with those reported in literature. The developed theory and the presented solution procedure may serve as a reference in developing the magneto-thermo-electro-elastic shell theories and to improve the benchmark solutions for judging the existence of imprecise theories and other numerical approaches. © 2012 Asian Network for Scientific Information.