Applications of Weighted Momentum Principle to Dynamic Response Analysis of Equations of Motion

• Main Authors: Ian Chen, 陳益源
• Other Authors: Shyh-Rong Kuo
• Format: Others
• Language: zh-TW
• Published: 2012
• Online Access: http://ndltd.ncl.edu.tw/handle/25137793502661090877

碩士 === 國立臺灣海洋大學 === 河海工程學系 === 100 === It’s needed small time step to compute shock response for a structure under impulsive loadings but thus the cost of computing is increased. This study will show weighted momentum principle that use shape function to create the displacement of vibrating system then multiplying weight functions and integrating over the time step. For free vibration situation of an undamped SDOF system the method is stable ,no numerical damping and least fourth-order accuracy. For triangular continuous and impulsive loadings and rectangle impulsive loadings the method is also least fourth-order accuracy. We will compare it with Newmark method. For an n-DOFs system, the dimension of matrix equation in state space will be expanded to 2n by 2n as well. The incremental-iterative solution procedure for linear structural dynamics is established to simplify computing matrixs to n by n and the convergence is fast.