CHEN Shi-an, TONG Jia-cheng, JIANG Xu-dong, WANG Ya-xiong, YAO Ming. Modeling method for non-stationary road irregularity based on modulated white noise and lookup table method[J]. Journal of Traffic and Transportation Engineering, 2020, 20(6): 171-179. doi: 10.19818/j.cnki.1671-1637.2020.06.015
Citation: CHEN Shi-an, TONG Jia-cheng, JIANG Xu-dong, WANG Ya-xiong, YAO Ming. Modeling method for non-stationary road irregularity based on modulated white noise and lookup table method[J]. Journal of Traffic and Transportation Engineering, 2020, 20(6): 171-179. doi: 10.19818/j.cnki.1671-1637.2020.06.015

Modeling method for non-stationary road irregularity based on modulated white noise and lookup table method

doi: 10.19818/j.cnki.1671-1637.2020.06.015
Funds:

National Natural Science Foundation of China 51575239

National Natural Science Foundation of China 52072158

Jiangsu Province Key Research and Development Program BE2018105

More Information
  • Author Bio:

    CHEN Shi-an(1973-), male, professor, PhD, chenshian73@ujs.edu.cn

  • Received Date: 2020-06-18
  • Publish Date: 2020-06-25
  • To solve non-stationary problems caused by different power spectrum density(PSD) frequency structures of measured roads and vehicle speeds, a modulated white noise and lookup table based modeling methods were proposed based on an analysis of the accuracy of existing road roughness models. Combining the white noise generation method with the calculation formula of discrete PSD, a parameter setting method of Band-Limited White Noise module was developed to ensure the calculated power spectrum of road irregularity is fully consistent with the designed power spectrum.The accuracy of the proposed Band-Limited White Noise module parameter setting value was verified by comparing calculation results of white noise power spectrum density and road roughness power spectrum density according to different combinations of setting values. To solve the modeling problem of non-stationary road in spatial domain whose frequency index is not equal to 2, a road power spectrum expression was proposed, which consists of a reference item and several precision corrected items, and modulus square of modulation transfer function approximates arbitrary frequency exponent. To obtaining a frequency-time-varying input model of non-stationary road considering the influence effects of vehicle speed change in time domain, a lookup table operation was used to obtain time-domain non-stationary road irregularity derived from time-varying vehicle speed based on a fixed spatial road irregularity. The superiority of the proposed modeling methods was verified by applications of spatial-domain non-stationary road irregularity modeling and non-stationary road irregularity modeling considering time-varying vehicle speed. Research result shows that the power spectrum density curves of road irregularity in spatial domain constructed by modulated white noise based non-stationary road irregularity modeling method agree well with the designed objective curves in the application examples. The non-stationary problem of road irregularity caused by time-varying vehicle speed is effectively solved by using the lookup table method.

     

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