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为了分析两自由度(2-DOF)非线性吸振器(NES)在主共振附近产生周期及非周期响应时的振动抑制效果,首先应用复变量-平均法,推导了线性主结构连接一个2-DOF NES的系统在主共振附近的慢变力学模型,并对系统平衡点的稳定性进行了分析,进一步对系统响应类型进行了预测。然后,应用增量谐波平衡(IHB)法,对系统的慢变模型进行了数值验证。之后,对系统在稳态响应段及强调制响应(SMR)段的振动抑制效果进行了比较。最后研究了该系统在激励频率小幅变化时的振动抑制效果,并同单自由度(SDOF)NES进行了比较。仿真结果表明,2-DOF NES在强调制响应段的振动抑制效果更好,并且得到了比同质量优化后的S-DOF NES更好的振动抑制效果。
In order to analyze the vibration suppression effect of 2-DOF non-linear vibration absorber (NES) in generating periodic and aperiodic responses around the main resonance, a complex linear combination of a 2- DOF NES system in the main resonance near the slow-change mechanics model, and the stability of the system equilibrium point were analyzed to further predict the type of system response. Then, using the incremental harmonic balance (IHB) method, the system is slowly verified by numerical simulation. Afterwards, the system vibration suppression effect in the steady-state response section and the strong modulation response (SMR) section were compared. Finally, the vibration suppression effect of the system when the excitation frequency is slightly changed is studied and compared with the one-degree-of-freedom (SDOF) NES. The simulation results show that the 2-DOF NES performs better than the S-DOF NES with the same quality and has better vibration suppression effect than the S-DOF NES with the same quality.