A Meshless Local Least Square Method with Symmetric System Matrix for Dynamic Problems

• Main Authors: Zheng-quan Tang, 唐正銓
• Other Authors: Yung-Ming Wang
• Format: Others
• Language: zh-TW
• Published: 2009
• Online Access: http://ndltd.ncl.edu.tw/handle/66286148142200325000

碩士 === 國立成功大學 === 土木工程學系碩博士班 === 97 === In this paper we introduce the meshless method of local least-square with symmetric system matrix to solve the elastic-dynamical problems. The numerical model is established on discretization points. We use the local least-square method(LLS) to establish a system of equations and improve it to be symmetrical,then combine the local system of equations to a global system of equation. Finally,we use the Newmark- method and the Wilson- method to analyze the 1-D elastic-dynamical problems. In the numerical example we comparing the data analyzed in this article with the exact solution, also compared the result with results of differential reproducing kernel approximation method (DRKM). It shows that SLLS can be used on the 1-D elastic-dynamical analysis.