Ritz向量法在结构与土相互作用分析中的应用  

Application of Ritz Vectors in Analysis of Structure-Soil Interaction System

作　　者：李岳[1,2,3] 姜忻良[1,2] 

机构地区：[1]天津大学建筑工程学院,天津300072 [2]滨海土木工程结构与安全教育部重点实验室(天津大学),天津300072 [3]中国民航大学机场学院,天津300300

出　　处：《天津大学学报》2012年第6期499-504,共6页Journal of Tianjin University(Science and Technology)

基　　金：国家自然科学基金重大研究计划资助项目(90815025);国家自然科学基金资助项目(50878143);天津市应用基础及前沿技术研究计划资助项目(09JCZDJC25300);中国民航大学科研启动基金资助项目(2011QD13X)

摘　　要：为了提高地震作用下结构与土相互作用体系分析效率,对应用Ritz向量法求解SSI体系地基子结构主模态及进行地震反应计算的适用性与有效性进行了分析研究.根据地基土主模态分布较为分散的特点,考察外部动荷载的空间分布与地基自身振动特性的对应关系,滤除对地基振动贡献较小的低阶振型.算例分析结果表明,Ritz向量法自振特性计算效率较传统模态向量有明显提高,同等动力反应分析精度条件下截取的模态数量仅为后者的1/7,大大降低了地基子结构的计算规模,该方法应用于地基土的主模态分析十分有效.In order to improve the computational efficiency of dynamic analysis of structure-soil interaction system, the application of Ritz vectors in the modal analysis and seismic analysis of foundation sub-structure is comprehen- sively analyzed in this paper. As a replacement of traditional modal vectors, Ritz vectors may automatically filter the lower-ranking modals of negligible contribution to the foundation vibration by taking the spatial distribution of exter- nal loading into consideration. The results of sample analysis indicate that Ritz vectors can notably boost the solution efficiency of natural frequencies. The amount of Ritz vectors employed in the calculation is only 1/7 of that of tradi- tional modal vectors with the same accuracy, which is very helpful to the reduction of computational scale of sub- structure matrixes. The efficiency of Ritz vectors in the solution of foundation modals is proved by trail and error.

关 键 词：Ritz向量 结构与土相互作用 子结构法 地基主模态 

分 类 号：TU311.3[建筑科学—结构工程] TU352.1