子结构传感器位置优化和响应重构

提出了一种子结构传感器位置优化和未测点结构响应重构的方法。按照结构体系,将整体结构划分为多个子结构,减少研究对象的自由度数目,然后对每个子结构单独进行传感器位置优化和响应重构。由于每个子结构的自由度数目都远小于整体结构,该方法有利于提高传感器位置优化和响应重构的效率。以最小化重构误差为目标方程,确定子结构传感器的位置和数目,并利用优化位置上的测量信息重构未测点的响应。数值算例和试验分析结果显示,利用有限测点测量信息重构的结构响应,在时域和频域里均能与计算或测量响应吻合良好。该方法不需要分割隔离各子结构和考虑复杂的边界条件,有利于该方法在大型土木工程结构中的使用。

Sensor location selection and response reconstruction of a substructure

A method for sensor location selection was proposed for the response reconstruction of a substructure.According to the structure of a system, the whole structure was disassembled into several substructures to reduce the number of degrees of freedom (DOFs).Then the sensor location optimization and response reconstruction of each substructure were conducted separately.Since the number of DOFs of each substructure is far less than that of the whole structure, the method can improve the efficiency of sensor location optimization and response reconstruction.The sensor locations were determined by minimizing the reconstruction errors between the reconstructed and analyzed responses.The results of numerical and experimental investigations demonstrate that the reconstructed response by using finite measurements match well with the analyzed or measured responses both in time and frequency domains.The proposed method does not reuqire to isolate the substructures and consider the complicated boundary conditions, which is beneficial for its application in large-scale civil engineering structures.