Vibration of Multi-Layered Anisotropic Cylindrical Shells

摘要

A study on the vibration of multi-layered anisotropic cylindrical shells is presented on the basis of Kirchhoff-Love theory of thin shells. The displacement equations of motion for multi-layered shells with layers having one plane of elastic symmetry parallel to the reference surface are developed. These equations are subsequently used to investigate flexural and extensional vibration of infinite and finite shells with anisotropic layers. Frequency equations for inextensional vibration of layered anisotropic shells are obtained by considering the kinetic and potential energies of the vibrating shell. Also, it is shown that the equations of the layered shell can be reduced to the case of a single layer helically stiffened shell. Numerical examples are considered for illustrating the significance of various types of vibration, as well as to show the effect of rotation of principal axes of stiffness of the layers on the frequencies. Frequencies for various types of vibration of a 3-layered shell and for helically stiffened shell are presented in the form of curves and tables. (Author)