基于Gauss-Newton法的含间隙动力系统的参数识别  

PARAMETER IDENTIFICATION OF DYNAMIC SYSTEM WITH CLEARANCE VIA GAUSS NEWTON METHOD

作　　者：陈满儒[1] 山静民[1] 

机构地区：[1]西北轻工业学院工业设计系,陕西咸阳712081

出　　处：《机械强度》1999年第4期254-257,共4页Journal of Mechanical Strength

摘　　要：运用适合非线性动力系统参数识别的Ｇａｕｓｓ－Ｎｅｗｔｏｎ 方法，在对一含间隙的四自由度弹簧—质量振动系统做动力学分析的基础上，根据部分状态变量的观测值，进行了间隙和系统参数的评估。这些模拟用数据是计算机给模型化位移响应加“噪音”产生的。本文以具有良好收敛性的Ｇａｕｓｓ－Ｎｅｗｔｏｎ 法评估动力系统中间隙的数值模拟过程，有好的实用性，并且对解决机械系统和结构中其余类型的离散非线性现象的识别具有指导意义。The location of the discrete non linearities in mainly linear systems and structures is of interest in the areas of engineering. In this paper, the class of system considered is a four degree of freedom spring mass vibrating system with a clearance in which the dynamical behavior is described by a state space representation in real time. The Gauss Newton algorithm well suited for parameter estimation in non linear dynamic systems is successfully used to identify the clearance and other parameters of the system from small amount of observations. For numerical simulation purposes, the simulated data are achieved by corrupting the modeled displacement responses. The approach to identifying the clearance in the dynamic system based on the Gauss Newton method with good convergence is shown to be really effective and yet valuable to the location of discrete non linear elements of other kinds in a mechanical system.

关 键 词：参数识别 动力分析 动力系统 数值模拟 

分 类 号：TH113[机械工程—机械设计及理论] O322[理学—一般力学与力学基础]