具惯容离心摆的轴系结构轴向振动减振分析  

Axial vibration reduction of a shaft structure using a centrifugal pendulum absorber with inerters

作　　者：秦美娟 金肖玲[1] 陈志强 黄志龙[1] QIN Meijuan;JIN Xiaoling;CHEN Michael Z.Q.;HUANG Zhilong(Department of Engineering Mechanics,School of Aeronautics and Astronautics,Zhejiang University,Hangzhou 310027,China;School of Automation,Nanjing University of Science and Technology,Nanjing 210094,China)

机构地区：[1]浙江大学航空航天学院工程力学系,杭州310027 [2]南京理工大学自动化学院,南京210094

出　　处：《振动与冲击》2018年第22期36-42,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(11672262,11532011,11621062,61374053)

摘　　要：研究具惯容离心摆的轴系结构减振问题,基于摆的小幅振动假设,建立具惯容离心摆轴系结构轴向振动的动力学方程,得到结构轴向振动幅值及离心摆转角的频响函数。详细讨论了减振器参数(无量纲阻尼、质量比和调谐函数)对轴系结构轴向振动的影响,并以轴系结构共振幅值最小为目标进行参数优化设计,用固定点法得到了最优无量纲阻尼的解析表达式。研究表明调谐函数对轴向振动有很大的影响,且合适的调谐函数能实现最优的减振效果,惯容的引入能更容易调整调谐函数。通过数值结果比较具惯容离心摆减振器和动力吸振器在轴系结构轴向振动减振的效果,表明优化后的具惯容离心摆减振器有更好的减振效果。A shaft structure using a centrifugal pendulum absorber with inerters was studied. Based on the supposition of low-amplitude vibration, an axial dynamic equation of the shaft structure was established. Then the frequency response functions of the axial vibration of the shaft structure and the rotational vibration of the centrifugal pendulum were obtained. The influences of absorber parameters, such as the non-dimensional damping, mass ratio, and tuning function, on the axial vibration of the shaft structure were emphatically investigated. The optimization of absorber parameters for minimizing the resonant amplitude of axial vibration of the shaft structure was carried out. By using the fixed-point theory, the optimal non-dimensional damping was analytically expressed. The results indicate the tuning function has a significant effect on the axial vibration, and the maximum vibration reduction can also be achieved with a proper tuning function. Moreover, with the application of torsional inerters in the absorber, the tuning function can be easily adjusted. Finally, the axial vibration absorption effect of the centrifugal pendulum absorber with inerters was compared with that of a dynamic vibration absorber, and it is illustrated that the vibration reduction effect of the optimized centrifugal pendulum absorber with inerters is much better.

关 键 词：具惯容离心摆减振器 轴系结构 轴向振动 优化设计 

分 类 号：TH212[机械工程—机械制造及自动化] TH213.3