Transient analysis of structronics shell

Abstract

Based on the first-order shear deformation shell theory involving Codazzi-Gauss geometrical discretion, Hamilton's principle and Gibbs free energy function, this paper presents the analytical solution for magneto-thermo- electro-elastic structronics shell. In which the fundamental equations and its boundary conditions were solved using the generic forced-solution procedure, and its frequency parameters were evaluated in the simply supported boundary condition. Then, the transient solution is obtained by Newmark's method to evaluate the influence of magnetic and electric parameters on the structure response. Results have been shown that the effect of the transverse shear is greater on the dynamic response than the static response. However, it is also observed that the ratio of transient to static deflection takes less with increasing of side to thickness ratio of the shell. The present results may serve as a reference in developing the structronics shell theories and to improve the benchmark solutions for judging the existence of imprecise theories and other numerical approaches. © 2012 Springer-Verlag.