Spherical-symmetric steady-state response of fluid-filled laminate piezoelectric spherical shell under external excitation

摘要

Spherical-symmetric steady-state response problem of a fluid-filled piezoelectric spherical shell is discussed in the paper. In the absence of body force and free charges, the general solutions of mechanical displacement, stresses, strains, potential and electric displacement are derived from constitutive relations, geometric and motion equations under external excitation (i.e., applied surface traction and potential) in spherical coordinate system. As an application of the general solutions, the problem of a fluid-filled elastic spherical shell with piezoelectric actuator and sensor layers was solved. The results could provide theoretical basis for the spherical-symmetric dynamic control problem of fluid-structure coupling piezoelectric intelligent structure. Furthermore, the solutions can serve as reference for the research on the control of general fluid-structure dynamic problems.