Title: Uncertain analysis of vehicle handling using interval method

Authors: Jinglai Wu; Yunqing Zhang; Liping Chen; Pengfei Chen; Gang Qin

Addresses: Center for Computer-Aided Design, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China. ' Center for Computer-Aided Design, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China. ' Center for Computer-Aided Design, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China. ' Center for Computer-Aided Design, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China. ' Center for Computer-Aided Design, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China

Abstract: To solve the dynamic response problem that contains uncertain parameters, the uncertain differential equations need to be calculated. In this study, a new efficient numerical interval method for uncertain differential equations is presented. The interval dynamic analysis of a Two-Degree-of-Freedom (2DOF) bicycle car model with uncertain parameters is presented. Considering the vehicle parameters as the interval variables, the lower and upper bound of the vehicle handling uncertain responses are obtained by the proposed numerical interval method. The comparison between the numerical interval method and the Monte Carlo method indicates that the proposed numerical interval method is more effective.

Keywords: vehicle handling; uncertain differential equations; interval method; Monte Carlo; uncertainty analysis; bicycle car models.

DOI: 10.1504/IJVD.2011.043261

International Journal of Vehicle Design, 2011 Vol.56 No.1/2/3/4, pp.81 - 105

Received: 31 Oct 2009
Accepted: 18 Apr 2010
Published online: 10 Apr 2015 *

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