Parametric correcting method for dynamic mathematical model via dynamical response
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摘要: 从连续系统出发,利用应力-应变关系和惯性力公式推导出一种能量范数的本构关系误差公式,用它来构造结构动力学模型修正问题的数学模型;然后根据系统的稳态位移响应,通过一个迭代过程来求解.参数的估算与不完整的实验数据的扩充相互耦合,引入扰动项来反映参数的改变对扩充的影响.仿真算例对实验数据精确和有噪声2种情况进行了研究,结果表明方法合理、可行.Abstract: Improvement of structural dynamical model using dynamical response was studied. The approach is correcting physical parameters of given finite element model using experimental steady displacement responses. The mathematical model for model updating was constructed through the constitutive relations error which is an energy norm derived by stress-strain relationship and inertial force in a continuum system. The parameter estimation couples with expansion to uncompleted experimental data, and a perturbation item was introduced to account for the dependence of expansion data on the parameter variation. An optimum iterative process wasemployed to calculate corrected parameters. Numerical example illustrates the presented method to be effective and valid for estimating physical parameters.
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