INTERACTIONS BETWEEN TIME-VARYING MESH STIFFNESS AND CLEARANCE NONLINEARITIES IN A GEARED SYSTEM
INTERACTIONS BETWEEN TIME-VARYING MESH STIFFNESS AND CLEARANCE NONLINEARITIES IN A GEARED SYSTEM
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DOI：
10.1016/0022-460x(91)90527-q
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发表时间：
1991-04-08
影响因子：
4.7
通讯作者：
SINGH, R
中科院分区：
文献类型：
--
作者：
KAHRAMAN, A;SINGH, R
本文研究了具有时变啮合刚度kh（t）的非线性齿轮转子-轴承系统的频率响应特性。首先，单自由度的直齿圆柱齿轮副模型与侧隙扩展到包括正弦或周期性的啮合刚度kh（t）。其次，建立了一个三自由度模型，该模型具有kh（t）和与齿轮侧隙和滚动元件轴承相关的间隙非线性，如由平均扭矩载荷下的静态传动误差e（t）激励的。采用数字仿真技术求解控制方程，仅研究主共振。采用多尺度法和数字仿真相结合的方法，识别了相应的线性时变系统在参数激励和外激励下的共振。啮合刚度变化和间隙非线性之间的相互作用进行了研究，发现随时间变化的啮合刚度KH（t）和齿轮侧隙之间的强相互作用，而KH（t）和轴承非线性之间的耦合是弱的。最后，我们的随时间变化的非线性配方产生相当不错的预测与基准实验结果相比，在文献中。
Frequency response characteristics of a non-linear geared rotor-bearing system with time-varying mesh stiffness k h (t) are examined in this paper. First, the single-degree-of-freedom spur gear pair model with backlash is extended to include sinusoidal or periodic mesh stiffness k h (t). Second, a three-degree-of-freedom model with k h (t) and clearance non-lineariries associated with gear backlash and rolling element bearings, as excited by the static transmission error e (t) under a mean torque load, is developed. The governing equations are solved using digital simulation technique and only the primary resonances are studied. Resonances of the corresponding linear time-varying system associated with parametric and external excitations are identified using the method of multiple scales and digital simulation. Interactions between the mesh stiffness variation and clearance non-linearities have been investigated; a strong interaction between time-varying mesh stiffness k h (t) and gear backlash is found, whereas the coupling between k h (t) and bearing non-linearities is weak. Finally, our time-varying non-linear formulations yield reasonably good predictions when compared with the benchmark experimental results available in the literature.