FREE VIBRATION ANALYSIS OF COUPLED CYLINDRICAL SHELL-PLATE SYSTEM WITH ARBITRARY ELASTIC BOUNDARY CONDITIONS

摘要

An analytical model for the vibration of multiple cylindrical shells and annular plate structure with arbitrary boundary and coupling conditions is constructed. By applying a set of translational and rotational springs along the shell and the plate interface, the mechanical coupling effects for the coupling structure are completely considered. Under the framework, three displacements for the cylindrical shell and the annular plate is simultaneously expressed as the modified Fourier series composed of the standard Fourier series and auxiliary functions. The unknown series expansion coefficients are determined using the familiar Rayleigh-Ritz procedure. The present method show good agreement with the results calculated by finite element method (FEM). The related experimental measurement works are performed. By comparing the theoretical predictions with the measured results, the correctness of the modeling method is further validated. Natural frequencies and vibration mode shapes are presented for different boundary conditions. In addition, numerical simulation for the effects of the springs stiffness on the vibration characteristics for the shell-plate system are studied.