Abstract
When the gearbox body interference is connected to the ring gear, prestressing occurs in the ring gear, which has a significant impact on the strength and life of the gear. Research on the prestressing of the inner ring gear is in the preliminary stage, and the distribution rule of the prestressing and the influence of each parameter on the interference prestressing have not been derived. In this paper, based on the method of calculating the prestressing of the thick cylinder in interference fit, the ring gear is found to be equivalent to a thick cylinder, and the distribution rule of prestressing of the ring gear in the interference fit is inferred. Then, by modeling and analyzing the gearbox body and ring gear in the interference fit using ABAQUS, the distribution rule of prestressing the ring gear in the interference fit is obtained through a numerical simulation. Finally, the prestressing of the ring gear in the interference fit is measured using X-ray diffraction, and the distribution rule of prestressing of the ring gear in the interference fit is obtained through analysis. Compared with the distribution rule of prestressing in theory, numerical simulation, and experiment, the theoretical distribution rule of prestressing is amended through a statistical method, and a more accurate formula of prestressing is obtained. Through the calculation of the stress and bending moment in the dangerous section of the ring gear through prestressing, the formula for checking the tooth root flexural fatigue strength in the interference fit prestressing is inferred. This research proposes a tooth root bending strength conditional formula for the inner ring gear of the interference fit, which serves as a guide for the design and production of the actual interference joint inner ring gear.
Highlights
The interference fit is a method in which a container and contained item is fastened based on the magnitude of interference [1, 2]
Prestressing occurs in the ring gear through the gearbox interference fit with the ring gear, which impacts the tooth root flexural fatigue strength of the gear
It is necessary to calculate the prestressing of the ring gear in the interference fit, consider the effect on the dangerous tooth root section of the ring gear, and correct the formula of tooth root flexural fatigue strength
Summary
The interference fit is a method in which a container and contained item is fastened based on the magnitude of interference [1, 2]. Zhu [9] based on ANSYS, analyzed the relationship of the interference between the keyless joint and the maximum prestressing; Zhao et al [10] based on ANSYS, built the prestressed mode of the planetary gear train of the transmission; Wang [11] analyzed the influence of prestressing on interference fit of dump truck axle; Kim et al [12] simulated the hot assembly procedure of the external gear and axis in the interference fit, and predicted the amount of deformation of the teeth profiles, considering the shrink-fitting load and amount of expansion of the gear with major process variables, and the amount of shrink-fitting interference; Rahman et al [13] established the relationship between the friction coefficient and the stress of the contact area by studying the shaft and bushing of the interference joint; Hao et al [14] studied the contact stress of the interference fit of the planetary carrier based on the finite element method; and Frederic et al [15] obtained the reduction coefficient of the fretting fatigue strength of the interference joint. The formula for checking the tooth root flexural fatigue strength is obtained, which can guide the design of the gearbox in the interference fit
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