(1. 湖南科技大学 物理学院，湘潭 411201；
2. 湖南科技大学 机械设备健康维护湖南省重点实验室，湘潭 411201)
摘 要: 在考虑金属橡胶隔振系统的非线性刚度和非线性迟滞恢复力的基础上，建立金属橡胶隔振器的非线性动力学方程。采用谐波平衡法研究由基础激励的金属橡胶隔振器的非线性振动特性和振动稳定性，导出频率响应方程，讨论非线性因素的影响，得出稳定区和不稳定压的分界线方程。结果表明：迟滞恢复力所引起的非线性因素使主共振频率左移，并得出刚度非线性和迟滞恢复力的忽略条件。
关键字: 金属橡胶隔振器；非线性振动；频率响应特性；稳定性
（1. College of Physics, Hunan University of Science and Technology, Xiangtan 411201, China;
2. Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment,
Hunan University of Science and Technology, Xiangtan 411201, China）
Abstract:The nonlinear dynamics equation including nonlinear stiffness and hysteresis resilience was developed. The frequency response equation was derived and the nonlinear vibration characteristics and stability of the metal rubber damper to a seismic excitation were analyzed by the method of harmonic balance. The effect of nonlinear factors was studied. The division equation of the vibration stability and instability area was obtained. The results show that the nonlinear parameters by hysteresis resilience result in the left removal of the main resonance, and the condition of the nonlinear stiffness and hysteresis resilience neglected are obtained. The conclusions are helpful to the accurate design and effect analysis of metal rubber damper.
Key words: metal rubber damper; nonlinear vibration; frequency response characteristic; stability
