利用线性模型估计的传感器优化布置算法

OPTIMAL SENSOR LOCATION ALGORITHM USING LINEAR MODEL ESTIMATE

提出了一种基于线性模型估计的传感器布置算法.首先根据线性模型估计理论,将待监测的目标模态振型视为线性模型的设计矩阵;然后利用奇异值分解的算法,将设计矩阵分解,根据分解的前几个左奇异向量来计算各个自由度对于目标模态振型的贡献;用迭代算法来求出最优的传感器布置方案;最后,用两个算例表明该方法的有效性.

Problems of how to determine the necessary number and the optimal locations of the sensors become imperative for structural health monitoring. This paper is to present a method for searching optimal number and locations of sensors for building damage detection. Based on linear model estimate theory, target modes are considered as design matrix of linear model in the method. Then, singular value decomposition is used to decompose the target modes. The first several left singular vectors are used to calculate the contribution of each sensor candidate. At last, an iterative method is used to choose the last set of optimal sensor locations. Two illustrations clearly show that the method is applicable to building structures.