Exact Dynamic Analysis of Space Structures Using Timoshenko Beam Theory

摘要

A method employing an exact transfer dynamic stiffness matrix (TDSM) based on Timoshenko beam theory for dynamic analysis of three-dimensional frame structures was developed, where TDSM was a frequency-dependent basis function. In this method, the TDSM of each member was assembled to get the system matrix. All free-vibration solutions, including repeated roots for the characteristic equation, could be obtained to any desired accuracy using an equation developed by Wittrick and Williams. The exact mode shape of the structures can then be computed using the dynamic shape function and the eigenvector. The accuracy of the present method is demonstrated by two examples. The results show good agreement with those computed by the finite element method.