Low-velocity impact, buckling, and vibrations of the piezoelectric doubly curved system via coupled Galerkin and Newmark method

In the present study, buckling and vibrational analysis of a double-curved piezoelectric panel structure under low-velocity impact force is presented. In this regard, the first-order deformation theory of shell structures is utilized to approximate the displacement of the shell, and the linear strain-displacement relations are presented in a constitutive equation in small deformation elastic region. Finally, the principle of virtual work is exploited to obtain equations of motion under electrical and mechanical loads. The complexity of the equations of double-curved shell structure under electrical and impact loads necessitates using semi-analytical methods in obtaining the effects of different factors on the frequency, contact force, and indentation of the impactor. The results are presented in a detailed parametric study. Effects of moduli of elasticity of both panel and impactor on the contact force and indenter velocity are investigated. As a desirable result, it is determined that in a certain range of applied external voltage, the vibration of the panel is suppressed completely.