基于双稳态非线性能量阱的轴承-轴悬臂系统振动抑制研究  

Research on Vibration Suppression of Bearing-Shaft Cantilever System Based on Bistable Nonlinear Energy Sink

作　　者：温晓蕾 李妙玲[2] 陈智勇[2,3] 徐颖强 姚永玉[2] WEN Xiaolei;LI Miaoling;CHEN Zhiyong;XU Yingqiang;YAO Yongyu(Department of Civil Engineering,Henan Vocational College of Water Resources and Environment,Zhengzhou 450008,China;School of Intelligent Manufacturing,Luoyang Institute of Science and Technology,Luoyang 471023,China;School of Mechanical Engineering,Northwestern Polytechnical University,Xi'an 710072,China)

机构地区：[1]河南水利与环境职业学院土木工程系,郑州450008 [2]洛阳理工学院智能制造学院,河南洛阳471023 [3]西北工业大学机电学院,西安710072

出　　处：《轴承》2022年第9期17-23,共7页Bearing

基　　金：国家重点研发计划资助项目(2020YFB2010200);河南省科技攻关项目(212102210588,222102220021,222102220056);河南省创新团队(22IRTSTHN020)。

摘　　要：构建了轴承-轴悬臂梁耦合能量阱模型,利用线性刚度元件的几何特性产生非线性恢复力,构造了具有双稳态的非线性能量阱(BNES)。利用劳斯-赫尔维茨法则对非线性能量阱(NES)平衡点的稳定性进行了分析,通过数值算法分析了BNES对轴的振动抑制性能,基于能量传递率对比了不同激励强度下BNES的减振性能,结合势能函数分析了非线性刚度比和势阱深度的关系,揭示了非线性刚度比对触发阈值的影响。结果表明:BNES存在1个不稳定平衡点和2个稳定平衡点;相比于普通NES,BNES在低扰动下减振性能更好,在触发阈值附近能量传递率最高,且随着非线性刚度的增加,触发阈值降低。The model of bearing-shaft cantilever beam coupling with nonlinear energy sink(NES) is constructed. The nonlinear restoring force is generated by using geometric characteristics of linear stiffness element, and the Bistable NES(BNES) is constructed. The stability of NES equilibrium point is analyzed by Routh-Hurwitz method. The vibration suppression performance of BNES on shaft is analyzed by numerical algorithm. The vibration reduction performance of BNES under different excitation intensity is compared based on energy transfer rate. Combined with potential energy function, the relationship is analyzed between nonlinear stiffness ratio and depth of potential well, and the influence of nonlinear stiffness ratio on trigger threshold is revealed. The results show that: BNES has one unstable equilibrium point and two stable equilibrium points;compared with ordinary NES, BNES has better vibration reduction performance under low disturbance;the energy transfer rate is the highest near trigger threshold, and the trigger threshold decreases with the increase of nonlinear stiffness.

关 键 词：滚动轴承 非线性 减振 触发阈值 传递率 耗散率 平衡点 

分 类 号：TH133.33[机械工程—机械制造及自动化]