平面正弦钢球传动机构扭振动力学及灵敏度分析  

Analysis of Torsional Vibration Mechanics and Sensitivity for Planar Sinusoidal Steel Ball Transmission Mechanism

作　　者：宁林飞 张思[1] 李美求[1] 罗竞波 石应华 Ning Linfei;Zhang Si;Li Meiqiu;Luo Jingbo;Shi Yinghua(Institute of Strength and Vibration of Mechanical Structures,Yangtze University,Jingzhou 434023,China)

机构地区：[1]长江大学机械结构强度与振动研究所,湖北荆州434023

出　　处：《机械传动》2020年第7期102-106,共5页Journal of Mechanical Transmission

基　　金：国家重点研发计划项目(2016YFC0303703)。

摘　　要：随着平面正弦钢球活齿传动在各行业的广泛应用,其动态特性和振动问题的研究也显得极为重要。针对平面正弦钢球传动机构的扭转振动模型及其固有特性,采用集中参数法建立了5自由度的扭转振动力学模型。根据无阻尼自由振动方程,计算系统的固有频率和模态振型;采用偏导数法分析系统固有频率对惯量参数和刚度参数的灵敏度,归纳出对系统固有频率影响较为显著的结构参数。通过修改对系统固有频率灵敏度较高的参数,以避免系统与外界激励产生共振,从而提高了系统运行的稳定性。With the wide application of planar sinusoidal ball movable teeth transmission in various industries,the study of its dynamic characteristics and vibration problems is also very important.Aiming at the torsional vibration model and its inherent characteristics of planar sinusoidal ball transmission mechanism,a 5-DOF torsional vibration mechanical model is established by using the lumped parameter method.Based on the undamped free vibration equation,the natural frequency and modal modes of the system are calculated.The sensitivity of the natural frequency of the system to the inertia and stiffness parameters is analyzed by the partial derivative method,and the structural parameters which have significant influence on the natural frequencies of the system are concluded.In order to avoid resonance between the system and the external excitation,the parameters with high sensitivity to the natural frequency of the system are modified to improve the operation stability of the system.

关 键 词：平面正弦 扭转振动 固有频率 灵敏度分析 

分 类 号：TH113[机械工程—机械设计及理论]