An Efficient Analysis and Optimization Method for Generated Axial Force of Drive Shaft Systems Involving Interval Uncertainty 2020-01-0918
The drive shaft system with a tripod joint is known to cause lateral vibration in a vehicle due to the axial force generated by the tripod joint. In the design and optimization of drive shaft system, the generated axial force (GAF) is an important design and optimization objective. Because of the uncertainty of drive shaft system operating environment, dimension parameters and material parameters, the GAF has uncertainty. To study the GAF more accurately and effectively, this paper introduces the interval uncertainty into the research focusing on the GAF of the drive shaft system. Firstly, based on Chebyshev polynomials, an interval uncertain model for calculating the GAF is proposed, in which the input torque, the articulation angle, the rotational angle of the drive shaft system, the pitch circles radius of the tripod joint and the friction coefficient between the rollers and tracks, which affect the GAF, are taken as interval variables. Secondly, based on the vertex method, a fast and accurate calculation method is proposed to calculate the upper and lower bounds of the GAF under interval uncertain parameters. Then an interval uncertain optimization method for the GAF under uncertain parameters is proposed by combining Chebyshev polynomial, vertex method and genetic algorithm. The input parameters of the GAF optimization model are regarded as interval variables, the model response is regarded as interval response, and the upper bound of the response interval is taken as the optimization objective. Finally, the effectiveness of the proposed method for the analysis and optimization of the interval uncertainty of the GAF is verified by the numerical examples and experiments.