Abstract
Taking the double-cone expansion joint sleeve (EJS) as an example, this paper proposes a hybrid prediction method of load-carrying capacity considering the displacement boundary conditions of EJS and rotation angle of spindle, and a comprehensive optimization method for the structure of EJS is established using this method. Firstly, based on the thick-walled cylinder theory and considering the displacement boundary conditions of interference contact surface, a new calculation method for calculating torque is presented, and the main parameters affecting load-carrying capacity are determined. Secondly, the finite element method is used to simulate assembly process and working process of EJS to obtain the ultimate torque, the effects of inner ring, outer ring, taper, elastic modulus, and friction coefficient are investigated. Based on the hybrid prediction results of load-carrying capacity, the multi-objective optimization is carried out using genetic algorithm through the construction of orthogonal experimental combination, the optimization of structural parameters of EJS is realized. The results indicate that the maximum equivalent stress is reduced by 20.88 %, the ultimate torque is increased by 0.23 %, and the mass is reduced by 5.11 %. It is proved that the method can effectively reduce maximum equivalent stress and solve design defects caused by stress concentration.
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Abbreviations
- E 1, E 2, E 3 :
-
Elastic modulus of spindle, inner ring and cone sleeve
- v 1, v 2, v 3 :
-
Poisson ratio of spindle, inner ring and cone sleeve
- Δ1 :
-
Deformation of outer surface of spindle
- Δ2 :
-
Deformation of inner surface of inner ring
- Δ3 :
-
Deformation of outer surface of inner ring
- Δ4 :
-
Deformation of inner surface of cone sleeve
- d 0 :
-
Spindle inner diameter
- d :
-
Outer diameter of spindle
- p 1 :
-
Pressure of the interface between spindle and inner ring
- p 2 :
-
Pressure of the outer surface of inner ring
- D xi :
-
Average diameter of i th unit
- L :
-
Length of tapered section
- α :
-
Oblique taper
- h 1 :
-
Thickness of thin-walled end of inner ring
- D :
-
Outer diameter of outer ring
- R 1 :
-
Assembly clearance
- δ 2 :
-
Surface interference
- L′:
-
Displacement of axial load-carrying area
- m:
-
Mass of EJS
- T :
-
Torque
- S :
-
Maximum equivalent stress
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Acknowledgments
This research has been supported by National Natural Science Foundation of China (No. 51875382, No. 52035006), Shanxi Provincial Key Science and Technology Special Projects (No. 20181102023) and Research Project Supported by Shanxi Scholarship Council of China (No. 2020-125).
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Wang Jianmei is a Doctoral Tutor at the Taiyuan University of Science and Technology, and is currently the Executive Deputy Director of the Engineering Research Center of the Ministry of Education of Heavy Machinery. She received a postdoctoral degree from Taiyuan Heavy Industry Co., Ltd. She has visited and studied at Wollongong University in Australia and University College London in the UK. Her research interests include tribology and interface science, research and development of key basic components of major equipment, electromechanical system control and automation.
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Guan, Y., Wang, J., Ning, K. et al. Hybrid prediction method of load-carrying capacity considering boundary condition of expansion joint sleeve and rotation angle of spindle. J Mech Sci Technol 35, 4605–4615 (2021). https://doi.org/10.1007/s12206-021-0929-x
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DOI: https://doi.org/10.1007/s12206-021-0929-x