Nonlinear vibration study of cylindrical shells

Abstract

Shells are common structures and models in our life. With the continuous development of research on various types of shells, shells have been very widely used in daily life, industrial buildings, aerospace, space technology and other fields. In this paper, firstly, the expressions of each energy variant of the shell under the joint action of elasticity and piezoelectric layer electric field are given, and the physical model is established based on Hamilton's principle. Secondly, a nonlinear multi-degree-of-freedom dynamics model of the vibration of the cylindrical shell is developed by considering the asymmetric modes of the shell. Considering the boundary conditions and separating the displacement function from the independent time variables, the specific expressions of the stiffness matrix are calculated according to the energy variations as well as the internal forces and moments, and the generalized coordinate vectors are solved and analyzed by giving specific examples.