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国外文献 > 1.轴承 > 4. 设计与分析 > 数值方法

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标 题： A COMBINED LUMPED PARAMETER AND FINITE ELEMENT MODEL OF A SINGLE STAGE GEARBOX FOR BEARING FAULT SIMULATION
单级齿轮箱的综合 lumped 参数与有限元模型用于轴承故障仿真
作 者： N. Sawalhi
R. B. Randall
关键词： Lumped parameter model  [ lumped parameter model]
Finite element analysis  [ 有限元分析]
Rolling element bearings  [ 滚动轴承]
Gears  [ 齿轮]
Localised fault  [ 局部故障]
Extended fault  [ 扩展故障]
出版年： 2008
文集名： COMADEM 2008: Energy Environmental Issues
COMADEM 2008：能源与环境问题
会议名： 21st International Congress on Condition Monitoring and Diagnostic Engineering Management (COMADEM 2008)
第21届国际状态监测与诊断工程管理大会（COMADEM 2008）
届 次： 21st
摘 要： A thirty-four degree-of-freedom (34 DOF) lumped parameter model (LPM) for a single stage gearbox has been previously proposed to simulate the interactions between gears and rolling element bearings in the presence of localized and extended faults in the latter. The gearbox casing was modelled as having only 2 DOF to represent a low and a high frequency resonance of the casing. This model has now been updated using a finite element (FE) model to increase the number of degrees of freedom of the casing (case resonances) and to improve the simulation. A much improved spectral matching (especially in the low frequency region) has been achieved for the localized faults by using the combined LPM and FE model. The combined FE-LPM model was obtained with the assumption that the actual response of the casing would have little effect on the bearing forces, which were extracted from the original LPM and then applied to the FE model of the casing (plus internals). In this paper we utilize this combined model to study the simulation of extended outer race faults and investigate the extent of improvement from the LPM-only model. Results show a great improvement in the agreement between the simulated and measured signals for the extended outer race faults, where the interaction between the gear and bearing signals is multiplicative. In the case of localized faults, where the interaction between the gear and bearing signals is additive (from exciting high frequency resonances), the advantage is not so marked.

此前已提出一种三十四自由度（34 DOF）的集总参数模型（LPM），用于模拟单级齿轮箱中齿轮与滚动元件轴承在后者存在局部和扩展性故障时的相互作用。该齿轮箱壳体被建模为仅有2个自由度，以代表壳体的低频和高频共振。目前，该模型已通过有限元（FE）模型进行更新，以增加壳体的自由度（壳体共振），从而提升仿真精度。采用组合的LPM与FE模型后，局部故障的谱匹配性能得到了显著改善（尤其在低频区域）。组合的FE-LPM模型基于一个假设：壳体的实际响应对轴承载荷影响较小，因此从原始LPM中提取轴承力，并将其应用于壳体（及内部结构）的FE模型。本文利用该组合模型研究了扩展式外圈故障的仿真效果，并分析了仅使用LPM模型相比所获得的改进程度。结果表明，在扩展的外圈故障情况下，模拟信号与实测信号之间的一致性有了显著改善，因为齿轮与轴承信号之间的相互作用是乘法关系。而在局部故障情况下，由于齿轮与轴承信号之间的相互作用为加法关系（源于高频激励共振），其优势则不那么明显。
中文内容为网络AI翻译，专业术语未必准确，仅供参考。

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