A Rayleigh-Ritz method based on improved Fourier series for vibration analysis of cylindrical shell coupled with elastic beams

摘要

A finite circular cylindrical shell model coupled with elastic beams is built in this paper. The beam-shell structure is connected with linear springs and rotational springs. Considering different structural coupling conditions, the Rayleigh-Ritz approach based on improved Fourier series method is employed to analyze the free vibration properties of the calculation model. The improved Fourier series method is used to describe the displacements of the coupling structure, while the Rayleigh-Ritz method is utilized to solve the coefficients. The important advantage of this approach is that it can be universally applied to the coupling structure with a variety of different boundary and coupling conditions. The results are verified by the finite element method. It's shown that the proposed approach is a convenient, efficient and accurate one for determining the modal behavior of such a complex structure system.