Nonlinear dynamic analysis of stiffened composite laminated cylindrical shells intergrated with piezoelectric sensors and actuators

Abstract

This paper presents a study of the geometrical nonlinear dynamic analysis of stiffened composite laminated cylindrical shells integrated with piezoelectric sensors and actuators. Base on finite element method and the first shear deformation theory, the structures were modeled by piezoelectric composite flat shell and 3D beam elements, the motion equation of the structures are derived in the matrix form. Using Newmark’s time integration and Newton-Raphson method, authors solved the nonlinear vibration equations for determining the critical force and nonlinear response of the structures. The effects of applied voltage, properties of composite material, geometric factor of structure shells on the critical force and nonlinear dynamic response are studied. The research results allow finding reasonable solutions for shell structures with high resistance, as well as controlling the shell stiffness according to the user's wishes, and can be applied in the fields of engineering such as: machine structure, construction, flying divices …

Keywords: Nonlinear analysis; composite shells; piezoelectric; stiffner