Influence of support stiffness on vibrations of a planet gear system considering ring with flexible support
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Influence of support stiffness on vibrations of a planet gear system considering ring with flexible support LIU Jing(刘静)1, 2, PANG Rui-kun(庞瑞琨)2, LI Hong-wu(李洪武)3, XU Jin(许晋)3 1. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China; 2. College of Mechanical Engineering, Chongqing University, Chongqing 400044, China; 3. China North Vehicle Research Institute, Beijing 100081, China © Central South University Press and Springer-Verlag GmbH Germany, part of Springer Nature 2020 Abstract: Planet gear systems (PGSs) are key components of transmission mechanisms. Structural and material characteristics of gearbox and shaft can affect the support stiffness and vibrations of PGSs. The ring gear flexibility should affect the vibrations of PGSs too. However, most previous work did not completely consider the effects of the ring gear flexibility on the vibrations of PGSs and flexible supports of ring and sun gears. Thus, this paper presents a flexible-rigid coupling multi-body dynamic (FMBD) model for a PGS with the flexible supports and ring gear flexibility. A finite element model of ring gear is established to formulate the ring gear flexibility. The influences of clearance and damping of planet bearings on the vibrations of PGS are considered. The effects of flexible supports and ring gear flexibility on the vibrations of PGS under different moment and speed conditions are studied. The statistical parameters and peak frequencies of PGS from the proposed FMBD and previous rigid multi-body dynamic (RMBD) models are compared. The results denote that the flexible support has a great effect on the vibrations of PGS. This paper can provide some guidance for the support structure design and vibration control for PGSs. Key words: planet gear; flexible-rigid coupling; flexible supports; ring gear flexibility; vibrations Cite this article as: LIU Jing, PANG Rui-kun, LI Hong-wu, XU Jin. Influence of support stiffness on vibrations of a planet gear system considering ring with flexible support [J]. Journal of Central South University, 2020, 27(8): 2280−2290. DOI: https://doi.org/10.1007/s11771-020-4449-0.
1 Introduction Planet gear systems (PGSs) are widely used in various mechanical equipment. The PGSs have high transmission ratio and high transmission efficiency. A large vibration in the PGSs may cause different failures including cracks and pits in the gears and bearings [1−3]. Therefore, vibration studies of PGSs should be necessary. The supports of PGSs may greatly affect the vibrations of PGSs. It is of great significance to understand the effect of the supports on the vibrations of PGSs.
In previous works, various methods including the centralized parameter method, finite element (FE), rigid multi-body dynamic (RMBD), and experimental methods were presented to study the vibrations of PGSs [4, 5]. LIU et al [6] established a dynamic model to analyze the vibrations of a pitting gear system. THORET-BAUCHET et al [7] established a model of a PGS to analyze the influence of a pitting on the
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