Impulse responses of an electric vehicle with uncertain parameters based on the generalized polynomial chaos theory#br#

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (16) : 81-90.

TIAN Guoying1,2,3，ZHANG Dawei4，YI Xingli5，DENG Pengyi1,2,3，SUN Shulei1,2,3

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Abstract

Based on the generalized polynomial chaos (gPC) theory and automobile system dynamics, a vertical dynamics model of an electric vehicle considering electric motor vibration with uncertain parameters was established, and compared with the Monte Carlo method in which the correctness of the model was verified.Take a certain type electric vehicle as an example, under two kinds of parametric uncertainties (variation coefficient of 10%-30%) which result from the whole vehicle and the motor assembly respectively, the statistical indicators, such as the mean, variance, coefficient of variation, probability density and distribution, and overrun probability of the vehicle ride index and motor vibration were calculated, when the car runs over a pulse type pavement in the speed range of 10-60 km/h.Under different variation coefficient of the above two kinds of parameter uncertainties, the degree and rule of influence on respective vibration responses were analyzed.The results show that the degree and rule of influence of parametric uncertainty on their statistical indices can be obtained efficiently by the generalized polynomial chaos method, and the influences are significant.In the analyzed speed domain, the maximum values of each mean response are basically unchanged with the increase of the parameters’ uncertain degree, but the variances, variation coefficients and distribution ranges are all increasing, the changing rules of overrun probabilities have diversity.When the variation coefficient of uncertain parameters and vehicle speed are set to 30% and 60 km/h, respectively, the variation coefficients of the peaks of the vehicle body acceleration, suspension compression, tire load, motor acceleration and mount compression responses reach their maximums which are 34%, 47%, 42%, 15%, and 51%, respectively.Under different parametric variation coefficients and vehicle speeds, the largest probabilities of the above response peaks exceeding the given limits are 53%, 36%, 30%, 75%, and 68% respectively, and the biggest liftoff probability of the wheel is up to 64%.

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electric vehicle / vehicle ride / generalized polynomial chaos(gPC) / parametric uncertainty / coefficient of variation / overrun probability

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TIAN Guoying，ZHANG Dawei，YI Xingli，DENG Pengyi，SUN Shulei. Impulse responses of an electric vehicle with uncertain parameters based on the generalized polynomial chaos theory#br#[J]. Journal of Vibration and Shock, 2021, 40(16): 81-90

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