Sensitivity of General Compound Planetary Gear Natural Frequencies and Vibration Modes to Model Parameters
Sensitivity of General Compound Planetary Gear Natural Frequencies and Vibration Modes to Model Parameters
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DOI：
10.1115/imece2006-14978
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发表时间：
2010-02
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影响因子：
--
通讯作者：
Yi-Li Guo;R. Parker
中科院分区：
文献类型：
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作者：
Yi-Li Guo;R. Parker
研究了复合行星齿轮系统的固有频率和振型对系统参数的敏感性。本文根据一般复合行星齿轮的集中参数模型和它们独特的模态特性[1]，计算了它们对惯性和刚度的特征灵敏度，并以简洁的公式表示。分析表明，特征值对刚度参数的灵敏度与模态应变能成正比，特征值对惯性参数的灵敏度与模态动能成正比。此外，通过模态应变和动能分布的检验，确定了特征值对模型参数的灵敏度。这提供了一种有效的方法来识别那些对调谐某些固有频率影响最大的参数。结合一般复合行星齿轮的模态特性，本文的结果表明，转动模态与平动轴承/轴刚度和行星架/中心轮质量无关，平动模态与扭转轴承/轴刚度和行星架/中心轮转动惯量无关，行星模态与其它行星组的所有系统参数无关。承载件/环的轴/轴承刚度参数，以及承载件/中心齿轮的质量/惯性矩参数。版权所有© 2006，ASME
This paper studies sensitivity of compound planetary gear natural frequencies and vibration modes to system parameters. Based on a lumped parameter model of general compound planetary gears and their distinctive modal properties [1], the eigensensitivities to inertias and stiffnesses are calculated and expressed in compact formulae. Analysis reveals that eigenvalue sensitivities to stiffness parameters are directly proportional to modal strain energies, and eigenvalue sensitivities to inertia parameters are proportional to modal kinetic energies. Furthermore, the eigenvalue sensitivities to model parameters are determined by inspection of the modal strain and kinetic energy distributions. This provides an effective way to identify those parameters with the greatest impact on tuning certain natural frequencies. The present results, combined with the modal properties of general compound planetary gears, show that rotational modes are independent of translational bearing/shaft stiffnesses and masses of carriers/central gears, translational modes are independent of torsional bearing/shaft stiffnesses and moment of inertias of carriers/central gears, and planet modes are independent of all system parameters of other planet sets, the shaft/bearing stiffness parameters of carriers/rings, and the mass/moment of inertia parameters of carriers/central gears.Copyright © 2006 by ASME