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Authors
Kern, Joshua V.; Ferris, John B.

Identifier
10.3182/20070820-3-US-2918.00052

Index Terms
ARMA,parameter estimation,probability,inputs,synthesis,stochastic modelling,characteristic

Abstract
The principal excitation to a vehicle's chassis system is the road profile. Simulating a vehicle traversing long roads is impractical and a method to produce short roads with given characteristics must be developed. An autoregressive model of non-stationary road profile data has been developed previously. This work examines the residual process of such an ARIMA model. Statistical techniques are developed and used to examine the distribution of the residual process and the preliminary results are demonstrated. Implications of this work to characterizing road profiles and future studies are discussed.

References

[1] Andren, Peter, "Power spectral density
    approximations of longitudinal road profiles",
    International Journal of Vehicle Design, 40,
    (1/2/3), pp. 2-14, 2006.
[2] Aurell, J. and Edlund, S. (1989) Operating Severity
    Distribution - A Base for Vehicle
    Optimization. Proceedings of the 11th
    International Association of Vehicle System
    Dynamics Symposium (IAVSD 1989),
    Supplement to Vehicle System Dynamics. 18,
    pp. 42-56.
[3] Box, G.E.P., Jenkins, G.M., and Reinsel, G.C.
    (1994) Time Series Analysis: Forecasting and
    Control, Prentice Hall, Upper Saddle River,
    NJ.
[4] Chaika, M., Gorsich, D., Sun, T.C. (2004). Some
    statistical tests in the study of terrain modeling,
    International Journal of Vehicle Design, 36,
    (2/3), pp. 132-148.
[5] de Pont, J.J. and Scott, A. (1999) Beyond Road
    Roughness - Interpreting Road Profile Data.
    Road and Transport Research. 8, (1), pp. 12-
    28.
[6] Ferris, J.B. (2004). Characterizing road profiles as
    Markov Chains. International Journal of
    Vehicle Design. 36, (2/3), pp. 103-115.
[7] Gorsich, D. J., Chaika, M., Gunter, D., Karlsen, R.,
    Haueisen, B., Sun, T., and Ferris, J.B. (2003)
    Terrain Roughness Standards for Mobility and
    Ultra-Reliability Prediction Proceedings of the
    SAE World Congress, SAE. Detroit, MI.
[8] Hammond, J.K. and Harrison, R.F. (1981).
    Nonstationary Response of Vehicles on Rough
    Ground - A State Space Approach. J.
    Dynamics Systems, Measurement, and Control.
    103, pp. 245-50.
[9] Karamihas, S.M. (2004) Development of cross
    correlation for objective comparison of
    profiles. International Journal of Vehicle
    Design. 36, (2/3), pp. 173-193.
[10] Kern, J.V., Ferris, J.B. (2006a). Preliminary
     Results for model identification in
     Characterizing 2-D topographic road profiles.
     Proceedings of SPIE: Modeling and
     Simulation for Military Applications. Orlando,
     Florida, 6228-6.
[11] Kern, J.V., Ferris, J.B. (2006b). Characterizing 2-D
     Topographic Mappings of Roads. Proceedings
     of IMECE2006: Automotive Transportation
     Systems Vehicle Terrain Interactions. Chicago,
     IL, IMECE-15233.
[12] Redfield, R.C. and Karnopp, D.C. (1988).
     Roadway Elevation Profile Generation for
     Vehicle Simulation. Vehicle System Dynamics.
     17.
[13] Rouillard, V., Sek, M., and Bruscella, B. (2001).
     Classification of Road Surface Profiles. J. of
     Transportation Engineering, ASCE. 127, (3),
     247-53.