非线性系统参数识别的能量法

本文提出了由能量积分来分批识别非线性系统参数的新思想。文中把构成系统力学模型的元件区分为耗能类和保守类;利用在相等变形之间任意变形历史中保守类元件不耗能,可以建立仅含耗能类元件参数的线性识别方程;以此为基础再利用能量积分又可建立仅含保守类元件参数的线性识别方程。仿真试验表明:这种分批线性识别技巧简便有效,可用于识别含间隙、弹塑性等多种非线性因素的系统参数,还特别适合于解决弱阻尼型的非线性系统参数识别难题。

Parametric Identification of Nonlinear Systems Based on Energy Analysis

The paper presents a fresh idea to identify the nonlinear system parameters in batches by means of energyanalysis.The components of a nonlinear system are grouped into the energy-dissipated and the conservative at first.As the energy dissipated in the conservative components vanishes during the deforming history between any twoidentical deformations,a set of linear identification equations containing only parameters of energy-dissipatedcomponents can be set up.After solving the equations and removing the contribution of energy-dissipated componentsto the restoring force,a set of linear parametric identification equations of conservative components is formed.Thecomputer simulation shows the simplicity and effectiveness of the above linear identification in batches,as well as itssuitability for identifying the parameters of backlash,elastoplasticity and weakly damped nonlinear systems.