Modeling and analysis of load distribution ratio and meshing stiffness for orthogonal spur-face gear drive under point contact. (April 2023)

• Record Type: Journal Article
• Authors: Liu, Lu; Zhu, Lingyun; Gou, Xiangfeng
• Is Part Of: Mechanism and machine theory. Volume 182(2023)
• Publication Date: 2023-04
• Subjects: Face gear drive -- Tooth surface equation -- Load distribution ratio -- Meshing stiffness -- Point contact -- Analytical modeling; Machine theory -- Periodicals; Machinery -- Periodicals; Machines -- Périodiques; Génie mécanique -- Périodiques; Machine theory; Machinery; Periodicals; 621.81
• DOI: 10.1016/j.mechmachtheory.2023.105239
• Languages: English
• ISSNs: 0094-114X

Abstract

Highlights: Meshing point track and contact line range on tooth surface are rigidly divided. Modeling approaches of tooth stiffness under line and point contact are proposed. Models of load distribution ratio and meshing stiffness are established. Effect of force on load distribution ratio and meshing stiffness is analyzed. Coupling relationship among force, distribution ratio and stiffness is revealed. Abstract: Analytical models of load distribution ratio (LDR) and meshing stiffness for orthogonal spur-face gear drive under point contact are established to provide the parameter basis for dynamics studies in this paper. Meshing point tracks and contact line ranges on tooth surfaces are strictly divided according to the point contact ratio. Local contact stiffness at meshing point is calculated based on Hertz contact theory and calculation approaches of global tooth stiffness under line and point contact are proposed and compared. Then, models of LDR and meshing stiffness are constructed and analyzed. The results show that the global tooth stiffness decreases after considering point contact on the basis of line contact. LDR is significantly affected by the error on tooth surface. The meshing stiffness increases with the increase in meshing force. The contact deformation accounts for a high proportion in the total deformation. It expands the existing modeling methods to cover line and point contact, and lays the foundation of studies for orthogonal spur-face gear drive. Graphical abstract: Image, graphical abstract