Deformation of the Multi-point Support Structure and Loading Performance Analysis of Its Shafting Bearing

doi:10.12382/bgxb.2021.0575

Abstract

Abstract:

With the development of high power-density transmission systems, shafting bearings must meet higher standards such as a high load-bearing capacity and long service life. This study establishes a mechanical model for a multi-point support shafting bearing based on the theory of elasticity and the design method for rolling bearings. The deflection deformation curve of shafting, as well as the load distribution, contact angle, and contact stress of bearings, are numerically calculated. Then, the influence of driving torque and position on bearing life is analyzed, and the optimal configuration parameters of the shafting structure are given. The results show that the deflection of multi-point support shafting significantly affects the load distribution of shafting bearings. When evaluating the service life and performance of multi-point support shaft bearings, the coupling effect of shaft deflection and shafting bearing should be considered. In terms of the optimal crowning design for multi-point support cylindrical roller bearings, arc-slope crowning on both sides is selected for the middle row roller bearing, and the full crowning type is selected for the right-end roller bearing, which will help prolong the service life of the bearing. To meet the safety requirement of 80% climbing rate, when the driving torque is 800N·m under normal working conditions, the maximum design contact angle of the inner ring raceway is 40.6°, and that of the outer ring raceway is 44.3°. Adjusting the load position of helical gears can significantly prolong the service life of shafting bearings. When the distance between the ends is 41~46mm, the shafting bearings have a maximum life.

Key words: shafting bearings, loading performance, fatigue life, deflection deformation

CLC Number:

TH133.33

NIU Rongjun, LIU Yue, TANG Hongli, CUI Yongcun, DENG Si'er. Deformation of the Multi-point Support Structure and Loading Performance Analysis of Its Shafting Bearing[J]. Acta Armamentarii, 2023, 44(2): 615-628.

Figures/Tables 22

Fig.1 Mechanical model of a loaded multi-point support shaft

Fig.2 Numbering and position angles of rolling elements

Fig.3 Contact relationship between roller and raceway

Fig.4 Contact relationship between steel ball and raceway

Fig.5 Multi-point support shafting bearing configuration

Table 1 Parameters of bearing type and structure

类型	参数	数值
	轴承外径D/mm	100
	轴承内圈d/mm	45
	轴承宽度B/mm	25
QJ309	钢球数目Z_b	11
	设计接触角α₀/(°)	35.0
	钢球直径D_w/mm	17.462
	球列径向游隙u_Br/mm	0.035
	轴承外径D/mm	75.0
	轴承内径d/mm	30
NU2306	滚子有效长度l_e/mm	16.5
	滚子个数Z_r	13
	滚子直径D_w/mm	12.0
	滚子列径向游隙u_Rr/mm	0.030
	轴承外径D/mm	85.0
	轴承内径d/mm	45.0
NU209	滚子有效长度l_e/mm	11.633
	滚子个数Z_r	17
	滚子直径D_w/mm	11.0×2
	滚子列径向游隙u_Rr/mm	0.030

Fig.6 Comparison of rigidity of multi-point support shafting

Table 2 Influence of rigid and flexible shafting on support rigidity of shafting bearing

类型	T/(N·mm)	Δ_r,l/μm	Δ_a,l/μm	Θ_l/μrad	Δ_r,m/μm	Θ_m/μrad	Δ_r,r/μm	Θ_r/μrad
	400	-22.9	-0.30	-4.6	3.4	-5.6	0.78	6.9
	600	-28.7	-0.36	-6.2	4.9	-8.2	0.99	9.9
柔性轴	800	-33.6	-0.31	-7.5	6.3	-10.5	1.20	12.8
	1000	-379.0	-0.10	-8.4	7.6	-12.6	1.30	15.3
	1200	-41.9	-0.21	-9.1	8.9	-14.5	1.40	17.8
	400	3.7	-0.31		2.8		0.5
	600	5.3	-0.36		4.0		0.7
刚性轴	800	6.8	-0.32		5.1		0.9
	1000	8.2	-0.11		6.2		1.0
	1200	9.6	-0.22		7.2		1.2

Fig.7 Effects of roller crown on contact performance

Fig.8 Effects of roller crown on load distribution

Fig.9 Effects of driving torque on the bearing performance

Fig.10 Effects of driving torque on load distribution

Fig.11 Effects of design contact angle on bearing contact performance

Fig.12 Schematic diagram of ball-bearing shoulder climbing

Fig.13 Effects of driving torque on climbing rate

Fig.14 Effects of contact angle on climbing rate

Fig.15 Effects of gear action position on rigidity of shafting

Fig.16 Effects of gear action position on life of shafting bearing

Table 3 Comparative analysis of calculation results

参数	1号轴承		2号轴承		3号轴承
参数	仿真结果	本文结果	仿真结果	本文结果	仿真结果	本文结果
径向力/kN	2.51	2.46	7.96	8.02	0.50	0.49
轴向力/kN	-15.0	-15.1	0	0	0	0
力矩/(N·m)	-148.2	-150.0	-6.87	-6.85	1.51	1.49

Fig.17 Schematic diagram of multi-point support shafting rigidity test

Fig.18 Displacement test of multi-point support shafting

Fig.19 Comparison of static displacement results of multi-point support shafting

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