摘要
在能够反映结构特性的重要位置布置合理数量的传感器不但可以有效地降低结构健康监测成本,还可以提高监测系统处理信息的效率。根据结构系统可观性,分别给出了观测一般结构和重频结构的前若干阶目标模态所需要最少传感器数量的估计方法。提出一种选用Frobenius范数求最大化Fisher信息矩阵的方法,阐述了求最大化Fisher信息矩阵等价于选取具有最大能量的节点模态向量子集的结论。在此基础上并结合传感器优化布置的多重标准,提出基于节点能量和模态保证准则的传感器优化布置方法。数值算例的结果验证了该方法的正确性和有效性。
The cost and the efficiency of processing data for a structural health monitoring system could both be improved by placing a proper number of sensors on the import locations of a observed structure. The minimum number of sensors for observing a normal structure and a structure with repeated frequencies is studied respectively based on dynamic system observability. A method to solve maximum Fisher information matrix with Frobenius norm is presented. The conclusion that solving maximum Fisher information matrix is equal to selecting the subset of modal vectors with maximum energy is drawn. Considering multiple criterions for modal analysis, an optimal placement of sensors method based on nodes energy and modal assurance criterion is presented. The results given by numerical example show that the method proposed is valid and effective.
出处
《振动与冲击》
EI
CSCD
北大核心
2008年第9期131-134,共4页
Journal of Vibration and Shock
基金
北京市自然科学基金资助重点项目(8041002)
国家自然科学基金资助项目(50678012)
关键词
模态分析
重频
优化布置
模态保证准则
结构健康监测
modal analysis
repeated frequencies
optimal placement
modal assurance criterion
structural health monitoring
