连拱坝交叉模态综合法的完备性

英文篇名：Completeness of cross modal synthesis method for multiarch dams
中文刊名：水利水运工程学报
英文刊名：Hydro-Science and Engineering
作者：路观平
英文作者：LU Guan-ping(Anhui Water Resources Research Institute ; Bengbu 233000 ; China)
中文关键词：动力特性 ; 模态综合 ; 完备性 ; 连拱坝
英文关键词：dynamic behaviour ; modal synthesis ; completeness ; multi-arch dam
出版日期：2007-06-15
机构：安徽省淮河水利委员会水利科学研究院安徽蚌埠233000
年：2007
期：02
出版单位：水利水运工程学报

摘要

对笔者提出的连拱坝动力特性计算的子结构交叉综合法的正确性进行了证明.利用证明子结构子模态向量组成的线性空间是完备的基础上,说明当交叉子结构中所取的截尾模态趋向于完备时,其结果等同于整体计算,并表明近似计算将收敛于正确的结果.
In this paper the validity of the cross modal synthesis model for modal analysis of multi-arch dams proposed by the author is demonstrated.It is demonstrated firstly that the linear space consisting of the submodal vectors of the substructures is complete.As the number of truncated submodal vectors of the substructures is increased to the full number,the calculation result will be equal to that of the global calculation.So it is also demonstrated that the approximation calculation will approach to the valid result.

引文

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