【摘要】 为了满足结构健康监测和损伤识别的要求,提出了一种以损伤可识别性与模态可观测性相协调为目标的传感器优化布置方法.考虑损伤导致的结构响应变化,由结构运动方程推导出了结构响应与振型和损伤灵敏度之间的解析关系式.根据Fisher信息熵原理,建立了同时包含模态独立性信息和损伤灵敏度信息的目标函数.利用奇异值分解技术,发展了以Fisher信息矩阵最大和条件数最小为准则的迭代算法.算例分析表明,所提方法有效地克服了基于模态可观测性和基于损伤可识别性的传感器优化布置结果存在的差异,利用其优化结果进行的损伤识别比单一目标的结果具有更高的精度.更多还原

【Abstract】 A method of prioritizing sensor locations for structural health monitoring and damage detection is presented based on the harmony between damage identifiability and modal observability. Considering the structural response changes resulting from damage,the relationship of the structural response,node shape and damage sensitivity was deduced from the structural motion equation by a quasi-analytical mode. According to the Fisher information entropy,an objective function was set up including the information of mode independence and damage sensitivity. Utilizing the technique of singular value decomposition,an iterate algorithm for optimum sensor placement is proposed with the criterion of minimum condition number of coefficient matrix and maximum norm of the Fisher information matrix. Numerical example analyses show that this approach effectively avoids the contradiction between the two different optimization criterions,and the result of damage detection from the optical sensor locations is more accurate comparing with the result of single objective.更多还原