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Reliability modeling and analysis of ball screw wear resistance confidence considering parameter uncertainty
Published:2023-04-20 author:ZHU Yun-kai. Browse: 661 Check PDF documents
Reliability modeling and analysis of ball screw wear resistance confidence 
considering parameter uncertainty


ZHU Yun-kai

(School of Mechanical and Electrical Engineering, the City Vocational College of Jiangsu, Nantong 226006, China)


Abstract:  Aiming at the problem that the aleatory uncertainty is only considered in the wear resistance reliability calculation of ball screw pair, and the epistemic uncertainty is not considered. Aiming at this problem, based on uncertainty theory, a reliability model of wear resistance of ball screw pair was established which considered both random uncertainty of parameters and cognitive uncertainty. Firstly, based on the modified Archard theory, the wear resistance model of the ball screw pair was established. Then, by introducing the uncertainty theory, the wear-resistant reliability model of the ball screw pair was established. In view of the problem that the uncertainty distribution of the wear-resistant reliability in the model could not be obtained, a two-layer parameter uncertainty simulation algorithm was proposed. Finally, the established reliability model and the uncertainty simulation algorithm were analyzed and calculated through an example, and the influence of the uncertainty of each parameter on the wear-resistant reliability of the ball screw was analyzed. The results show that the reliability is 0.656522 when the aleatory uncertainty is considered, and the reliability is 0.77007 by Monte Carlo method without aleatory uncertainty. From the calculation results, it is concluded that the uncertainty of the parameters can reduce the reliability of the ball screw. The uncertainty of the guide angle has the greatest influence on the wear resistance reliability, followed by the pitch diameter, wear coefficient, contact angle, axial load and adaptation ratio, and the influence of the ball diameter is the smallest.The research results can provide a reference for the optimal design and reliability improvement of the ball screw pair.

Key words:  friction and wear; mechanical transmission mechanism; transmission system reliability; wear resistance reliability; aleatory uncertainty; epistemic uncertainty


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