A novel calculation method of long period pinion axial displacement and meshing impact force for double helical gear considering asymmetry error. (May 2022)

• Record Type: Journal Article
• Authors: Liu, Xuan; Fang, Zongde; Yin, Xunmin; Zhao, Ning; Shen, Yunbo; Guo, Hui
• Is Part Of: Mechanism and machine theory. Volume 171(2022)
• Publication Date: 2022-05
• Subjects: Double helical gear -- Cumulative pitch error -- Asymmetry error -- End loaded transmission error -- Pinion axial displacement -- Meshing impact force; Machine theory -- Periodicals; Machinery -- Periodicals; Machines -- Périodiques; Génie mécanique -- Périodiques; Machine theory; Machinery; Periodicals; 621.81
• DOI: 10.1016/j.mechmachtheory.2022.104775
• Languages: English
• ISSNs: 0094-114X

Abstract

Highlights: A new three-dimensional loaded tooth contact analysis model of double helical gear is proposed. The modification, cumulative pitch error and axial displacement of the pinion are considered in the model. The meshing impact force of double helical gear considering long period asymmetry error is derived. The influence of asymmetry error on pinion axial displacement and meshing impact force is discussed. Abstract: The cumulative pitch errors of the left and right helical gears are the main source of the asymmetry error for the double helical gear. In this paper, a new three-dimensional loaded tooth contact analysis (3-DLTCA) model of double helical gear considering long period asymmetry error is proposed. The desired error (modification), undesired error (cumulative pitch error) and the change of normal clearance increment of left and right helical gear pairs caused by the axial shift of the driving pinion are considered in the model. Based on the new 3-DLTCA model, combined with the equivalent gap of the current meshing tooth pair, the meshing impact force (MIF) of the current meshing tooth pair in each meshing period is calculated. The results show that the proposed model can quickly and accurately calculate the long period end loaded transmission error (ELTE) and pinion axial displacement (PAD) of double helical gear with asymmetry error. Moreover, the long period asymmetry error of double helical gear has great effect on the MIF for left and right helical gears.