Planetary gear parametric instability caused by mesh stiffness variation

Planetary gear parametric instability caused by mesh stiffness variation
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DOI:
10.1006/jsvi.2001.3848
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发表时间:
2002-01-03
影响因子:
4.7
通讯作者:
Parker, RG
Parker, RG
中科院分区:
工程技术2区
文献类型:
--
作者:
Lin, J;Parker, RG

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参数不稳定性的行星齿轮的波动刚度的结果,在多齿啮合接触条件的变化进行了研究。太阳-行星和环-行星网格的时变网格刚度被建模为具有不同接触比和网格相位的矩形波形。导致参数不稳定的操作条件进行了分析识别。利用行星齿轮振动模式的明确定义的属性,分离的稳定和不稳定的条件的边界得到作为简单的表达式在啮合参数。这些表达式允许通过调整接触比和啮合相位来抑制特定的不稳定性。对参数不稳定引起的齿分离进行了数值模拟,以显示这种非线性对响应的强烈影响。(C)北京大学出版社.
Parametric instability is investigated for planetary gears where fluctuating stiffness results from the changing contact conditions at the multiple tooth meshes. The time-varying mesh stiffnesses of the sun-planet and ring-planet meshes are modelled as rectangular waveforms with different contact ratios and mesh phasing. The operating conditions leading to parametric instability are analytically identified. Using the well-defined properties of planetary gear vibration modes, the boundaries separating stable and unstable conditions are obtained as simple expressions in terms of mesh parameters. These expressions allow one to suppress particular instabilities by adjusting the contact ratios and mesh phasing. Tooth separation from parametric instability is numerically simulated to show the strong impact of this non-linearity on the response. (C) 2002 Academic Press.