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基于拉格朗日方法的行星齿轮动特性研究 被引量:5

Research on the dynamic characteristics of planetary gear based on Lagrangian method
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摘要 基于动力学拉格朗日法推导了齿轮系统的特征方程,并对其固有频率和模态进行了分析计算。随后就行星齿轮的各阶固有频率对行星齿轮转动惯量和啮合刚度的灵敏度进行了具体计算分析,得到各阶固有频率随转动惯量和啮合刚度变化的变化规律,为下一步行星齿轮的动态设计提供理论指导。 On the basis of dynamics Lagrangian method the characteristics equation of gear system has been deduced, and an analytical computation was progressed upon its inherent frequency and modality. Soon after that by taking the each ordered inherent frequency of the planetary gear to carrying through the concrete computational analysis on the moment of inertia of planetary gear and the sensibility of the engagement rigidity. The variation law of each ordered inherent frequency that changes along with the variation of moment of inertia and engagement rigidity was obtained, thus provided theoretical guidance for the next stepped dynamic design of planetary gear.
出处 《机械设计》 CSCD 北大核心 2009年第7期45-47,共3页 Journal of Machine Design
关键词 行星齿轮 灵敏度 频率 啮合刚度 planetary gear sensitivity frequency engagement rigidity
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参考文献1

二级参考文献5

  • 1Kahraman A. Natural Modes of Planetary Gear Trains. Journal of Sound and Vibration, 1994, 173(1): 125-130.
  • 2Lin Jian,Parker R G. Analytical Characterization of the Unique Properties of Planetary Gear Free Vibration. Journal of Vibration and Acoustics, 1999, 121:316-321.
  • 3Parker R G. A Physical Explanation for the Effectiveness of Planet Phasing to Suppress Planetary Gear Vibration. Journal of sound and vibration, 2000, 236(4):561-573.
  • 4Lin J,Parker R G. Sensitivity of Planetary Gear Natural Frequencies and Vibration Modes to Model Parameters. Journal of Sound and Vibration, 1999, 228 (1):109-128.
  • 5杨建明,张策.行星齿轮传动的固有频率对设计参数的灵敏度分析[J].机械设计,2001,18(4):40-43. 被引量:15

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