基于广义逆理论的转角信息重构近似算法  

Approximate Algorithm Based on Generalized Inverse Matrix Theory for Rotational Response Reconstruction

作　　者：康玉梅[1] 白泉[1] 陈百玲[1] 刘斌[1] 

机构地区：[1]东北大学资源与土木工程学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2006年第3期316-319,共4页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(50474017)

摘　　要：针对结构识别中转角信息难以测量的问题,完善了一种基于广义逆理论的转角信息重构问题近似算法.该算法从静力凝聚的基本方程出发,求解广义逆矩阵,由结构的位移测量信息计算结构的转角信息.通过理论分析给出了广义逆理论近似算法的适用条件和广义逆解答是精确解答的条件.数值算例表明:该近似算法的范数误差一般较小,而绝对量较小的分量误差较大.Aiming at the problem that the rotational response is difficult to measure in structural identification, an improved approximate algorithm based on generalized inverse matrix theory is developed for rotational response reconstruction. Starting from the basic equations of static condensation, the algorithm is available to calculate the rotational response in accordance to structural displacement data by solving the generalized inverse matrix. The applicable condition of generalized inverse approximate algorithm and the condition that the generalized inverse solution is just the accurate solution are discussed theoretically and given. Numerical examples are given to illustrate that the norm errors of the approximate algorithm is generally small, while the smaller the absolute value is, the greater the component errors will be.

关 键 词：转动反应 信息重构 广义逆矩阵 结构识别 静力凝聚 有限元法 

分 类 号：O175[理学—数学]