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

Ning Linfei; Zhang Si; Li Meiqiu; Luo Jingbo; Shi Yinghua

doi:10.16578/j.issn.1004.2539.2020.07.017

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

Test·Analysis | 更新时间：2022-10-20

- Analysis of Torsional Vibration Mechanics and Sensitivity for Planar Sinusoidal Steel Ball Transmission Mechanism
- Journal of Mechanical Transmission Vol. 44, Issue 7, Pages: 102-106(2020)
- 作者机构：
  
  1.长江大学机械结构强度与振动研究所，湖北荆州 434023
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2020.07.017
  CLC：
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宁林飞,张思,李美求等.平面正弦钢球传动机构扭振动力学及灵敏度分析[J].机械传动,2020,44(07):102-106.

Ning Linfei Zhang Si Li Meiqiu Luo Jingbo Shi Yinghua.Analysis of Torsional Vibration Mechanics and Sensitivity for Planar Sinusoidal Steel Ball Transmission Mechanism[J].Journal of Mechanical Transmission,2020,44(07):102-106.
宁林飞,张思,李美求等.平面正弦钢球传动机构扭振动力学及灵敏度分析[J].机械传动,2020,44(07):102-106. DOI： 10.16578/j.issn.1004.2539.2020.07.017.

Ning Linfei Zhang Si Li Meiqiu Luo Jingbo Shi Yinghua.Analysis of Torsional Vibration Mechanics and Sensitivity for Planar Sinusoidal Steel Ball Transmission Mechanism[J].Journal of Mechanical Transmission,2020,44(07):102-106. DOI： 10.16578/j.issn.1004.2539.2020.07.017.

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。

Abstract

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

Keywords

Plane sineTorsional vibrationNatural frequencySensitivity analysis

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