Mesh Stiffness Variation Instabilities in Two-Stage Gear Systems
Mesh Stiffness Variation Instabilities in Two-Stage Gear Systems
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DOI：
10.1115/1.1424889
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
Jian Lin;R. Parker
中科院分区：
文献类型：
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作者：
Jian Lin;R. Parker
啮合刚度变化，即啮合齿刚度随接触齿数变化而变化，会导致齿轮系统参数不稳定和严重振动。研究了两级齿轮链（包括惰轮和中间轴配置）导致参数不稳定的操作条件。检查两个网格的刚度变化之间的相互作用。研究了初级、次级和组合不稳定性。通过分析确定了网格刚度参数（包括刚度变化幅度、网格频率、接触比和网格定相）对这些不稳定性的影响。对于矩形波形的网格刚度变化，导出了简单的设计公式，通过调整接触比和网格相位来控制不稳定区域。将分析结果与数值解进行比较。
Mesh stiffness variation, the change in stiffness of meshing teeth as the number of teeth in contact changes, causes parametric instabilities and severe vibration in gear systems. The operating conditions leading to parametric instability are investigated for two-stage gear chains, including idler gear and countershaft configurations. Interactions between the stiffness variations at the two meshes are examined. Primary, secondary, and combination instabilities are studied. The effects of mesh stiffness parameters, including stiffness variation amplitudes, mesh frequencies, contact ratios, and mesh phasing, on these instabilities are analytically identified. For mesh stiffness variation with rectangular waveforms, simple design formulas are derived to control the instability regions by adjusting the contact ratios and mesh phasing. The analytical results are compared to numerical solutions.