Modelling and dynamic analysis of vehicles based on discrete constraints

作者:Shao, Ke; Huang, Kang*; Duan, Songlin; Zhen, Shengchao; Gao, Feng
来源:International Journal of Vehicle Design, 2017, 75(1-4): 23-46.
DOI:10.1504/IJVD.2018.10011993

摘要

In this paper, a novel approach to modelling and dynamic analysis of full vehicle is proposed based on Udwadia-Kalaba theory. Because the vehicle is hierarchically modelled by using this approach, this approach is easily processed when handling the modelling of many-degrees-of-freedom vehicle. Also, the analytical dynamic model based on this approach is free of calculation of Lagrangian multiplier as used in the Lagrangian equation. To verify this approach, a 15 DOF vehicle is modelled in this paper by using Udwadia-Kalaba theory. Four tyres' displacement is exerted and the vertical dynamic behaviour of each subsystem is simulated and analysed in MATLAB. By solving Udwadia-Kalaba equation, the response of each subsystem is acquired. The simulation result is well coincident with that of the Lagrangian model, which verifies the proposed approach.

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