摘要
基于非线性双稳系统受高、低两种不同频率作用的双时间尺度特性和谐波平衡法,解析地分析了双稳系统对低频信号响应的幅值与高频信号参数、系统参数之间的关系,表明系统响应的幅值随高频信号或系统参数的变化并非单调,而是存在着称之为振动共振的极大值。基于这些参数与共振曲线的关系,提出了共振状态下的频率特性。理论近似解析分析的结论与数值仿真计算的结果基本一致。
According to the double time scale characteristics of nonlinear bistable system subjected to the action of high and low frequency excitations simultanuously and by use of harmonic balance method, the relationship between the response amplitude of a bistable system due to low frequency signal and the parameters of the high frequency signal is analytic ally analyzed. It manifests that the change of system response amplitude due to high frequency signal or system parameters is not monotonous. The maximum value of response amplitude exists and is so called vibrational resonance. According to the relationship between parameters and resonance curve, the frequency characteristics of resonance are examined. The results of theoretical analysis are in agreement with those of numerical simulation.
出处
《振动与冲击》
EI
CSCD
北大核心
2007年第12期151-153,共3页
Journal of Vibration and Shock
基金
国家自然科学基金资助项目(60671052
50675214)
关键词
双稳系统
振动共振
随机共振
共振因子
频率特性
bistable system
vibrational resonance
stochastic resonance
resonance factor
frequency characteristic
