摘要
提出了一种动力学系统的物理参数辨识方法。应用Padé多项式对动力学系统的动刚度曲线进行拟合,通过最小二乘法确定Padé多项式中的系数矩阵,利用遗传算法对Padé拟合式中的参数进行优化,从而得到系统的质量矩阵、阻尼矩阵和刚度矩阵。数值算例表明该方法具有较高的辨识精度且适用于黏性阻尼系统和非黏性阻尼系统。
A new identification method for the physical parameters of structural dynamical system is proposed.The Padéapproximants is used to fit the dynamic stiffness curve of the structural dynamical system,and the coefficient matrices in the Padépolynomial are determined by the least squares method.In addition,genetic algorithms is adopted to optimize the parameters in Padépolynomial.Then the mass,damping and stiffness matrices in the physical space can be extracted from the Padépolynomial.Numerical examples illustrate that the proposed method has good accuracy and is effective for viscous or non-viscous damped systems.
出处
《振动工程学报》
EI
CSCD
北大核心
2016年第1期24-30,共7页
Journal of Vibration Engineering
基金
高等学校学科创新引智计划资助项目(B07050)
国家自然科学基金资助项目(11402205)
关键词
参数识别
系统辨识
结构动力学系统
Padé拟合
最小二乘法
parameters identification
system identification
structural dynamical system
Padéapproximants
least squares method
