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Meshing stiffness calculation and meshing dynamic characteristics analysis of gear with graduation circle crack
Published:2023-02-15 author:XU Feng-bao, LIU Gui-jie, MA Peng-lei, et al. Browse: 495 Check PDF documents
Meshing stiffness calculation and meshing dynamic characteristics 
analysis of gear with graduation circle crack


XU Feng-bao, LIU Gui-jie, MA Peng-lei, WANG Hong-hui, CHEN Shuai

(College of Engineering, Ocean University of China, Qingdao 266100, China)


Abstract: To explore the influence of graduation circle crack on the gear transmission system, the improved energy method was used to calculate the mesh stiffness of the graduation circle crack gear, and the dynamic characteristics of the gear transmission system were analyzed in combination with the dynamic model.Firstly, the tooth root circle of the gear was regarded as the starting point of the cantilever beam, and the graduation circle crack was divided into three cases according to its tooth profile projection position. Then, the gear meshing stiffness under different crack conditions was calculated by using the improved energy method theory. Lastly, based on the mesh stiffness, a dynamic model of six degrees of freedom of the gear system was established, and the dynamic characteristics of the gear system under different crack conditions were analyzed. The simulation results show that, compared with normal gears, when the dividing circle crack is 2.5 mm, the meshing stiffness of the gears decreases by 14.3%, the transmission error increases by 12.2%, the meshing force between teeth decreases by 3.6% and the meshing friction decreases by 14.8%. As the crack length increases, the meshing stiffness of the gear decreases gradually, the transmission error increases, and the meshing force and meshing friction between the teeth decrease gradually. The results show that, due to the influence of cracks, the gear transmission system is subject to periodic impact.

Key words: gear transmission system vibration; transmission error; meshing force between teeth; improved energy method; dynamic model; meshing friction; pitting and peeling of gear; time domain spectrum and frequency spectrum

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