比例边界有限元子结构法研究  

Study of sub-structure method with the scaled boundary finite element method

作　　者：杜建国[1] 林皋[1] 

机构地区：[1]大连理工大学土木水利学院,辽宁大连116024

出　　处：《世界地震工程》2007年第1期67-72,共6页World Earthquake Engineering

基　　金：国家自然科学基金资助项目(重点项目50139010)

摘　　要：比例边界有限元法最初应用于土-结构的相互作用分析,经过近几年的完善和发展,如今已经能够应用到其他很多领域。但是因为比例边界有限元理论是基于相似性要求的,使得其在处理几何形状复杂的结构时,会有很大的局限性,从而在某些领域的应用仍旧受到限制。同时由于其全时空耦合,导致大量计算量和工作量,也是其应用受限的一个原因。采用子结构法,打破这些局限性,并且分别针对有限域、无限域的问题,对比例边界有限元子结构法进行了研究,得出了有利于比例边界有限元法在工程实践中应用的结论,为其在实际工程应用中提供了可靠的依据和规律。The scaled boundary finite element method is initially applied to soil-structure interaction problem. After the development in recently years, it is applied in many other fields. However, owing to the requirement of similar inherently, it is led to the limitation when the structure with complicated geometry shape is solued by the scaled boundary finite element method. Besides, because of the coupling in full time and space, large computational efforts and storage are required. These factors restrict its application in some engineering fields. The sub-structure method is introduced in the scaled boundary finite element method in this paper, consequently the limitation is overcome. The study of sub-structure method is carried out on the bounded medium and unbounded medium respectively. Some conclusions which make for the application of this method in practice engineering are obtained. They provide reliable proofs and laws for the practice engineering.

关 键 词：比例边界有限元 子结构法 有限域 无限域 

分 类 号：P315[天文地球—地震学]