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Development and application of VPG simulation technique based on equivalent virtual road profile

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Abstract

A Virtual Proving Ground (VPG) is a vehicle simulation environment used for evaluating durability of the suspension elements. Among the components that comprise the VPG system, the tire model with its complex nonlinear characteristics has most significant impact on the credibility of the estimated durability. This research proposes a method for generating an equivalent road profile as a way to compensate for the limits involved in modeling details of the tire characteristics. The method first identifies the frequency response function from the road heights to the spindle forces, which would contain rich information on the tire’s effect on the vehicle dynamics. Then it back-calculates a road profile using this model and the spindle force measurement. Finally the solution is updated iteratively until it yields the spindle forces close to their measured values. Using the proposed method, an equivalent road profile was successfully generated from a spindle force measurement collected from a physical durability test. In order to investigate validity of the proposed method, durability analysis was performed for a suspension component — a lower control arm. From the preliminary VPG simulation results, it was confirmed that the estimated fatigue life agreed well with the estimation based upon the force measurement.

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Abbreviations

x(n), X(f):

input vectors in time and frequency domain

y(n), Y(f):

output vectors in time and frequency domain

G( ) :

auto(xx) and cross(xy) power spectrum

H( ):

frequency response function

Δ:

sampling period [sec]

Ω:

frequency resolution [Hz]

( )*:

complex conjugate of ( )

( )+ :

pseudo-inverse of ( )

( )T :

transpose of ( )

( )(i) :

iteration index

DFT{}:

discrete Fourier transform

IDFT{}:

inverse discrete Fourier transform

References

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Authors and Affiliations

  1. Graduate School of Automotive Engineering, Kookmin University, 861-1, Jeongneung-dong, Seongbuk-gu, Seoul, South Korea, 136-702

    Dae-Oh Kang & Young-Il Ryu

  2. School of Mechanical and Automotive Engineering, Kookmin University, 861-1, Jeongneung-dong, Seongbuk-gu, Seoul, South Korea, 136-702

    Kihong Park, Seung-Jin Heo & Jay Il Jeong

Authors
  1. Dae-Oh Kang
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  2. Kihong Park
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  3. Seung-Jin Heo
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  4. Young-Il Ryu
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  5. Jay Il Jeong
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Correspondence to Kihong Park.

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Kang, DO., Park, K., Heo, SJ. et al. Development and application of VPG simulation technique based on equivalent virtual road profile. Int. J. Precis. Eng. Manuf. 11, 265–272 (2010). https://doi.org/10.1007/s12541-010-0030-3

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  • DOI: https://doi.org/10.1007/s12541-010-0030-3

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