(1. 湖南科技大學(xué) 物理學(xué)院，湘潭 411201；
2. 湖南科技大學(xué) 機(jī)械設(shè)備健康維護(hù)湖南省重點(diǎn)實(shí)驗(yàn)室，湘潭 411201)
摘 要: 在考慮金屬橡膠隔振系統(tǒng)的非線(xiàn)性剛度和非線(xiàn)性遲滯恢復(fù)力的基礎(chǔ)上，建立金屬橡膠隔振器的非線(xiàn)性動(dòng)力學(xué)方程。采用諧波平衡法研究由基礎(chǔ)激勵(lì)的金屬橡膠隔振器的非線(xiàn)性振動(dòng)特性和振動(dòng)穩(wěn)定性，導(dǎo)出頻率響應(yīng)方程，討論非線(xiàn)性因素的影響，得出穩(wěn)定區(qū)和不穩(wěn)定壓的分界線(xiàn)方程。結(jié)果表明：遲滯恢復(fù)力所引起的非線(xiàn)性因素使主共振頻率左移，并得出剛度非線(xiàn)性和遲滯恢復(fù)力的忽略條件。
關(guān)鍵字: 金屬橡膠隔振器；非線(xiàn)性振動(dòng)；頻率響應(yīng)特性；穩(wěn)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
