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两自由度局部非线性系统的脉冲响应时域法
引用本文:王勇,黄其柏,朱从云,周明刚.两自由度局部非线性系统的脉冲响应时域法[J].华中科技大学学报(自然科学版),2006,34(8):84-86.
作者姓名:王勇  黄其柏  朱从云  周明刚
作者单位:1. 华中科技大学,机械科学与工程学院,湖北,武汉,430074
2. 华中科技大学,机械科学与工程学院,湖北,武汉,430074;襄樊学院,湖北,襄樊,441003
摘    要:将两自由度局部非线性振动系统的非线性弹簧力和阻尼力等效成外力,建立数学模型,将线性振动系统的脉冲响应时域法应用于该振动系统,通过对应线性系统的单位脉冲响应与等效非线性力的卷积积分,得到局部非线性振动系统的响应;对该模型进行了数值仿真.实验模型测试结果验证了该方法在局部非线性振动系统领域的可行性,为求解具有局部非线性的大型机械系统的振动响应提供了一种新的思路.

关 键 词:脉冲响应时域法  振动响应  局部非线性系统
文章编号:1671-4512(2006)08-0084-03
收稿时间:2005-08-13
修稿时间:2005年8月13日

Impulse response temporal analysis of 2-DOF localized nonlinear vibrating system
Wang Yong,Huang Qibai,Zhu Congyun,Zhou Minggang.Impulse response temporal analysis of 2-DOF localized nonlinear vibrating system[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2006,34(8):84-86.
Authors:Wang Yong  Huang Qibai  Zhu Congyun  Zhou Minggang
Abstract:The nonlinear force produced by spring and damping of 2-degree-of-freedom localized nonlin- ear vibrating system is regarded as applied force, and its mathematical model is established. Then impulse response method in time domain of linear vibrating system is applied in the system, the response of localized nonlinear vibrating system was obtained by convolution integration between unit impulse response of corresponding linear system and equivalent nonlinear force, and numerical simulation of the model is attained. Finally, the experiment was carried out, and the feasibility of the new method on the domain of localized nonlinear vibrating system is verified by comparing the results, which supplied a new method to localized nonlinear vibrating systems.
Keywords:impulse response method in time domain  vibrating response  localized nonlinear system
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