Mathematical and numerical studies on coupled meshfree methods and meshbased methods for soil-structure interaction

• Main Authors: Min-Chou Tsai, 蔡閔州
• Other Authors: Hsien-Hua Lee
• Format: Others
• Language: zh-TW
• Published: 2013
• Online Access: http://ndltd.ncl.edu.tw/handle/65897532393076061280

博士 === 國立中山大學 === 海洋環境及工程學系研究所 === 101 === The scope of this dissertation is to develop, implement and investigate some meshfree-related approaches including the pure meshfree methods and the coupling of meshfree and meshbased methods with respect to an efficient solution of var ious soil-structure interaction problems. Therefore reviews the definition, classification, and basic properties of meshfree methods. It illustrates how meshfree methods can be used in the field of scientific computation, and discusses the trends of meshfree methods are evolving. Then, basic formulations in structural dynamics are given. In particular, the wave equations and the nonlinear formulation of a dynamically excited structure reveal the mathematical as well as physical backgrounds for most soil-structure interaction problems. Then, respectively, we introduce two different meshfree methods in detail, namely the PIM and the EFGM. These two meshfree methodologies are appropriately further developed by the writer in order to solve the numerical examples on soil-structure interaction. To better deploy the advantages from the meshfree and the mesh-based methods and avoid their respective drawbacks at the same time, two coupling procedures are worked out. Some representative examples of soil-structure interaction are discussed in detail to demonstrate the applicability of the new meshfree methods and the coupling approaches. The results are all well compared with those obtained by conventional mesh-based methods. Conclusions and future perspectives will be given in final Chapter.