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A model updating method based on response surface models of reserved singular values

机译：基于保留奇异值响应面模型的模型更新方法

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摘要

A method for finite element model updating is put forward using response surface models of the truncated singular values with respect to model parameters to be updated. The impulse response function is firstly derived in time series from the known frequency response functions (FRFs), and a phase space matrix is then constructed through a time-delay method. Dominated singular values of the state space matrix are chosen to represent the characteristics of the frequency response functions and the system behind. A support vector machine based response surface model is established and validated for each of the reserved singular value with respect to the updating parameters. Taking the error between the reserved singular values calculated by the response surface models and those from the known FRFs as the cost function, a minimization problem is framed, which is then solved by a genetic algorithm for the true values of the updating parameters. Two examples about vehicle chassis components, with calculated or measured FRFs, are given to verify the applicability and efficiency of the proposed method.
机译：提出了一种利用截断奇异值的响应面模型对要更新的模型参数进行有限元模型更新的方法。首先从已知的频率响应函数（FRF）中按时间序列导出脉冲响应函数，然后通过时延方法构造相空间矩阵。选择状态空间矩阵的支配奇异值来表示频率响应函数和后面的系统的特征。针对更新参数，针对每个保留的奇异值，建立并验证基于支持向量机的响应面模型。以响应面模型计算的保留奇异值与已知FRF的奇异值之间的误差作为代价函数，对最小化问题进行框架化，然后通过遗传算法求解更新参数的真实值。给出了两个带有计算或测量的FRF的车辆底盘部件示例，以验证所提出方法的适用性和效率。

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