Open AccessVibrations of circular cylindrical shells
Author(s) -
H.M. Chung
Publication year - 1975
Language(s) - English
Resource type - Reports
DOI - 10.2172/4164813
Subject(s) - fourier series , series (stratigraphy) , vibration , mathematical analysis , displacement (psychology) , finite element method , modal , fourier transform , boundary value problem , transformation (genetics) , mathematics , differential equation , equations of motion , expression (computer science) , geometry , physics , classical mechanics , acoustics , computer science , materials science , chemistry , psychology , paleontology , biochemistry , gene , polymer chemistry , psychotherapist , biology , programming language , thermodynamics
An exact solution method for the free vibration problem of thin circular cylindrical shells is presented. The differential equations of motion are solved directly with the use of simple Fourier series as the modal displacement functions. Stokes' transformation is exploited to obtain correct series expressions for the derivatives of the Fourier series. From this method an explicit expression of the exact frequency equation can be obtained for any kind of boundary conditions. The accuracy of the present method is checked against available data. The proposed method is then used to find the modal characteristics of the thermal liner of the Fast Test Reactor (FTR). The numerical results obtained are compared with finite element method solutions. (auth