2-自由度强非线性振动系统的参数识别  

PARAMETER IDENTIFICATION OF STRONGLY NONLINEAR VIBRATION SYSTEMS OF 2-DOF

作　　者：彭解华[1,2] 彭卓[3] 

机构地区：[1]邵阳学院理学与信息科学系 [2]邵阳职业技术学院,邵阳422000 [3]吉林大学电子科学与工程学院

出　　处：《动力学与控制学报》2007年第1期54-57,共4页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(19874019);湖南省自然科学基金资助项目(05JJ3003)~~

摘　　要：提出了非线性多自由度系统的一种新的参数识别方法,研究了二次非线性的2-自由度系统.基于保守系统存在能量积分的特点,由系统的运动微分方程导出了哈密尔顿函数,并用它作为参数识别的数学模型.利用系统自由振荡条件下相坐标测量值集合对系统的哈密尔顿函数进行拟合,并用最小二乘法进行参数识别.不管系统非线性度的强弱如何,只要系统是保守的,这种方法就有效.A new parameter identification method for nonlinear multi - degree - of - freedom systems was presenthat there exists energy integral in conservative systems, the Hamihonian was derived and selected as the mathematic model of parameter identification. Hamihonian function was fitted with the test data, which were the value sets of phase coordinates measured in free oscillation of the systems, and the parameters were identified with the least square method. No matter the nonlinearity of the system is strong or weak, the presented technique is valid as long as the system is conservative.

关 键 词：非线性多自由度系统 参数识别 哈密尔顿函数 

分 类 号：O322[理学—一般力学与力学基础]