Abstract The dynamic gear mesh forces are the primary sources of vibration and noise in planetary gear transmissions (PGTs), leading to lower transmission accuracy and shorter service life. An accurate estimation of dynamic mesh forces is valuable for the low vibration and noise design and condition monitoring of PGTs. In this paper, we aim to evaluate the dynamic ring-planet gear meshing forces in PGTs, and a moving forces identification model is developed to evaluate the ring-planet meshing forces. Firstly, the ring-planet mesh forces are modelled as moving forces acting on the inner wall of the ring gear. Extend frequency response functions (EFRFs) are proposed to represent the time-varying vibration transmission path of the PGTs. Then, a moving force identification (MFI) model is established to evaluate the mesh forces. Besides, singular value decomposition (SVD) and regularization techniques are employed to solve the ill-posed inverse problem. A simplified ring model is taken as an example for numerical investigation to access the accuracy and feasibility of the proposed method. Finally, experimental vibration signals are used to identify ring-planet meshing forces. Compared with the testing meshing forces derived from dynamic strain signals, identification results indicated that the presented method can evaluate the dynamic ring-planet meshing forces with acceptable results.

中文翻译：

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齿圈-行星齿轮啮合力识别的实验研究

摘要 动态齿轮啮合力是行星齿轮传动（PGT）振动和噪声的主要来源，导致传动精度降低和使用寿命缩短。动态啮合力的准确估计对于 PGT 的低振动和噪声设计以及状态监测很有价值。在本文中，我们旨在评估 PGT 中的动态环行星齿轮啮合力，并开发了移动力识别模型来评估环行星啮合力。首先，环形行星啮合力被建模为作用在环形齿轮内壁上的移动力。提出扩展频率响应函数 (EFRF) 来表示 PGT 的时变振动传输路径。然后，建立移动力识别（MFI）模型来评估网格力。除了，奇异值分解（SVD）和正则化技术被用来解决不适定逆问题。以简化的环模型为例进行数值研究，以评估所提出方法的准确性和可行性。最后，实验振动信号用于识别环行星啮合力。与由动态应变信号导出的测试啮合力相比，识别结果表明所提出的方法可以以可接受的结果评估动态环-行星啮合力。实验振动信号用于识别环行星啮合力。与由动态应变信号导出的测试啮合力相比，识别结果表明所提出的方法可以以可接受的结果评估动态环-行星啮合力。实验振动信号用于识别环行星啮合力。与从动态应变信号导出的测试啮合力相比，识别结果表明所提出的方法可以评估动态环-行星啮合力，结果可以接受。