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单自由度参数振动系统非线性响应的若干特征
引用本文:王建军,高雄兵,李其汉.单自由度参数振动系统非线性响应的若干特征[J].应用力学学报,2003,20(2):147-151.
作者姓名:王建军  高雄兵  李其汉
作者单位:1. 北京航空航天大学,北京,100083
2. 中国燃气涡轮研究院,成都,610500
摘    要:用数值积分方法,分析了无阻尼单自由度参数振动系统在给定的单频刚度激励和单频外载荷激振时的非线性动力学响应特性。研究表明了参数振动问题的主要特征:1)单频激励多频响应;2)多频响应中各谐波的分布具有特殊的规律;3)系统具有多频共振特性。

关 键 词:无阻尼单自由度参数振动系统  非线性动力学响应  单频刚度激  单频外载荷激振  数值积分
文章编号:1000-4939(2003)02-0147-05
修稿时间:2001年11月12

Some Characteristics of Nonlinear Response for Single-Degree of Freedom of Parametric Vibration System
Wang Jianjun,Gao Xiongbing,Li Qihan.Some Characteristics of Nonlinear Response for Single-Degree of Freedom of Parametric Vibration System[J].Chinese Journal of Applied Mechanics,2003,20(2):147-151.
Authors:Wang Jianjun  Gao Xiongbing  Li Qihan
Institution:Wang Jianjun 1 Gao Xiongbing 2 Li Qihan 1
Abstract:Using numerical method the nonlinear chracteristics of response for the single degree of freedom of parametric vibration system without damping under single frequency stiffness and outer excitations is studied in this paper. It is shown that some important characteristics of parametric vibration system including (1) single frequency excitation leads to multi frequencies response; (2) some special frequency distributed states are found and (3) the response of system shows multi frequencies resonant phenomenon.
Keywords:parameter vibration  stiffness excitations  response characteristics  
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