Interval Optimization for Generated Axial Force of Drive Shaft Systems Considering Rough Surface Characteristics

doi:10.3901/JME.2022.01.221

Abstract

Abstract: Taking a drive shaft system as the research object, a deterministic model of the generated axial force (GAF) considering rough surface characteristics (RSC) is established based on fractal theory. By measuring the GAF of a drive shaft system, the proposed deterministic model of the GAF is verified. Since there are many factors effecting the GAF after considering RSC, the GAF has greater uncertainty. To study the GAF more effectively, an interval model for the GAF is proposed based on Legendre polynomials and the deterministic model. In the interval model, the influencing factors are considered as interval parameters. Taken the upper bound and the uncertainty level of the GAF as the optimization objectives, a multi-objective interval optimization method for the GAF is proposed. In order to enhance the optimization efficiency, an efficient method for calculating the upper bound and the uncertainty level of the GAF is proposed by combining Legendre polynomials and vertex method. The results of the numerical examples show that through the multi-objective interval optimization, not only the upper bound of the GAF can meet the design requirement, but also the robustness of the GAF is enhanced.

Key words: drive shaft systems, generated axial force, fractal theory, interval uncertainty, multi-objective optimization

CLC Number:

TH132
U463

FENG Huayuan, SHANGGUAN Wenbin, KANG Yingzi. Interval Optimization for Generated Axial Force of Drive Shaft Systems Considering Rough Surface Characteristics[J]. Journal of Mechanical Engineering, 2022, 58(1): 221-230.

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