Calculation Method of Dynamic Stress of Flexible Ring Gear and Dynamic Characteristics Analysis of Thin-Walled Ring Gear
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ORIGINAL PAPER
Calculation Method of Dynamic Stress of Flexible Ring Gear and Dynamic Characteristics Analysis of Thin‑Walled Ring Gear of Planetary Gear Train Chenglong Wang1 · Xiangfeng Zhang1 · Jianxing Zhou1 · Hongwei Wang1 · Yong Shen1 · Shuai Qiao1 Received: 17 September 2020 / Revised: 10 October 2020 / Accepted: 12 October 2020 © Krishtel eMaging Solutions Private Limited 2020
Abstract Purpose This work presents an analysis method for the vibration and stress characteristics of the ring gear. Methods First, the dynamic model of planetary gear sets is established to extract the meshing force of meshing element. The model is then combined with the load tooth contact analysis (LTCA) method to determine the load relationship between teeth. The dynamic characteristics of the ring gear are calculated using the modal superposition method and Newmark β time integration method, and the effectiveness of the calculation method is verified by comparing with the experimental results. Finally, the vibration and stress characteristics of the thin-walled ring gear are analyzed. Results and Conclusion The amplitude and stress of ring gear vibration increase obviously at resonance speed. Because of the flexibility of the thin-walled ring gear, the compressive stress of the tooth root at the meshing position is obviously smaller than the tensile stress caused by the concave deformation. Due to the influence of external convex deformation, the stress on the outside of the gear ring at the meshing position is more concentrated than the tooth root position. Keywords Planetary gear transmission system · Thin-walled ring gear · Fiber bragg grating · Meshing excitation · Dynamic stress · Vibration response
Introduction The planetary gear transmission system has the advantages of high safety performance, long service life, and large transmission ratio. It is widely used in aviation, shipbuilding, electric power and other mechanical fields. As a key component carried by the planetary gear transmission system, the ring gear is simultaneously subjected to multiple meshing excitation sources, which causes it to become the main component of gear tooth cracks and fatigue damage in the planetary gear system. With the development of precision machinery, planetary gear transmission systems tend to be lightweight. To reduce the quality of the transmission system to meet the needs of the project, the thin-walled ring gear has gradually become popular for practical applications. Therefore, analysis of the vibration characteristics and stress * Xiangfeng Zhang [email protected] 1
School of Mechanical Engineering, Xinjiang University, Urumqi 830047, China
characteristics of the thin-walled ring gear under meshing excitation is of great significance to prevent the occurrence of fatigue damage and ensure the safety of the planetary gear train. Early research on planetary gear sets focused on system analysis. For example, in the work of Kahraman et al. [1], the torsion model of the planetary gear transmission system was established,
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