单自由度结构监测传感器布置优化仿真  

Optimization Simulation of Sensor Arrangement for Single Degree of Freedom Structure Monitoring

作　　者：章海宁 乔富强 ZHANG Hai-ning;QIAO Fu-qiang(Software&Communication School,Tianjin Sino-German University of Applied Sciences,Tianjin 300350,China)

机构地区：[1]天津中德应用技术大学软件与通信学院,天津300350

出　　处：《计算机仿真》2020年第8期467-471,共5页Computer Simulation

基　　金：天津市企业科技特派员项目(19JCTPJC44200);天津科技计划项目(19JCTPJC43300)。

摘　　要：针对传感器布置时存在运行时间较长,精度较低的问题,提出基于单自由度结构监测传感器布置优化方法。根据达朗伯原理运算出等效单自由度微分方程,采用多项式拟合曲线衰减荷载了解等效时长与作用时长之间关系,并运用有效独立法获得测点的模态数据去除自由度,使Fisher信息矩阵行列式值最小化。利用模态保证准反映有限元软件计算的模态,使由传感器布置的测点得到的结构各阶振型尽可能线性独立。运用插值拟合得到未测点的模态响应,得出整个结构的模态数据。依据Fisher信息矩阵准则,获取模态振型的特性,完成对监测传感器的布置优化。实验结果表明,所提方法能够快速完成传感器优化布置,且具有较高监测精度。Due to long running time and low precision during the sensor arrangement,a method tom optimize the monitoring sensor arrangement of SDOF structure was proposed.Firstly,the equivalent SDOF differential equation was calculated by d'Alembert's principle.The polynomial fitting curve attenuation load was used to find the relationship between the equivalent time and the operating time,and the effective independent method was used to obtain the modal data of the measuring point and remove the freedom degree,so as to minimize the determinant value of Fisher information matrix.The modal assurance criterion was used to reflect the computational mode of finite element software,so that every mode shape of structure obtained by the measuring points arranged by sensor were as linearly independent as possible.Finally,the interpolation fitting was used to get the modal response of unmeasured point,and the modal data of the whole structure was obtained.According to Fisher information matrix rule,the features of modal shape were obtained.Thus,the optimization of the monitoring sensor arrangement was completed.Simulation results show that the proposed method can quickly complete the optimal arrangement of sensors.Meanwhile,this method has high monitoring accuracy.

关 键 词：单自由度结构 模态数据 监测传感器 插值拟合 

分 类 号：TP392[自动化与计算机技术—计算机应用技术]