非线性参数结构系统的参数识别

PARAMETER ESTIMATION ON NONLINEAR PARAMETRIC STRUCTURAL SYSTEM

本文对基于时域信息的非线性参数系统参数识别问题进行了研究。首先提出了一种非线性参数系统的分类方法。然后对非线性参数系统的参数化问题进行了讨论。本文提出用NEWTONRAPHSON方法进行非线性参数系统识别方程的求解 ,并用埃特金加速法提高迭代收敛的速度。文章的最后以剪力墙参数的识别问题为例演示了本文所提方法的有效性。数值算例表明 ,识别结果的精度和识别耗时对参数初值的选取并不敏感。

A procedure for the parameter estimation of nonlinear parametric structural system is presented.A categorization method of nonlinear parametric structural system is firstly proposed.The parametrization problem of weak nonlinear parametric system is discussed.Newton-Raphson algorithm is used to solve identification equation of nonlinear parametric structural system,and Aitken acceleration method is applied to accelerate the convergence of the iteration procedure.A numerical exmple about the identification problem of a shear wall structure is given to illustrate the effectiveness of the proposed procedure.The example also indicates that the accuracy of estimated parameters is not sensitive to the initial values of the parameters.