采用分离变量法的载荷位置识别技术研究

Identification of dynamic load location based on variable separation method

基于分离变量法提出了一种新的识别动载荷位置及时间历程的方法,以提高载荷定位的效率。根据结构系统参数建立响应与外部载荷之间的卷积关系式并离散化;采用分离变量法将载荷位置信息从脉冲响应函数矩阵中提取出来,根据响应信息选取合适的模态;利用正则化技术对载荷识别过程中的不适定问题进行求解;结合简支梁的仿真计算和实验测试对该载荷定位方法进行验证。研究结果表明,基于分离变量法的载荷识别方法能够准确地定位结构载荷位置并识别载荷时间历程,总体误差较小,相关性系数较大。相对于传统载荷位置识别算法,分离变量法减少矩阵求逆次数,提高了载荷定位的效率。

Based on the variable separation method,a method is proposed to identify the location and time history of dynamic load,and this method improves the efficiency of load localization.The convolution relation between the response and the external load is established and discretized according to the parameters of the structural system.The load location information is extracted from the impulse response function matrix by using variable separation method,and appropriate modes are selected in terms of the response information.The regularization technique is utilized to solve the ill-posed problem in the process of load identification.This method of load localization is verified by both a simulation and an experiment test of a simply supported beam.The results show that the load identification method based on variable separation method can accurately locate the position of the structural load and identify the load time history.The overall error is small and the correlation coefficient is large.Compared with the traditional load position recognition method,this variable separation method reduces the number of matrix inverses.Consequently,the efficiency of load localization is improved.