Technical Papers
Jun 22, 2016

Road Roughness Evaluation by Curve-Fitting and Subspace-Identification Methods

Publication: Journal of Transportation Engineering
Volume 142, Issue 11

Abstract

In this paper, for a quarter-car model, root-mean square response variables are calculated for roads classified by the international standard organization, based on the straight-line spectrum models. Covariance expressions are derived for vehicle response variables assuming that the road spectrum is that of a Motor Industry Research Association (MIRA) spectrum and compared with the existing results in the literature. The international standard and the MIRA spectra are then compared with the models delivered by high resolution frequency-domain subspace identification algorithms. The IRI statistic of the quarter-car response is calculated for the road models built by the curve fitting and the identification methods from the measured road spectrum assuming that the road excitation is a zero-mean Gaussian process

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This work was supported by the Scientific & Technological Research Council of Turkey under Grant 112E264.

References

Ahlin, K., and Johan Granlund, N. O. (2002). “Relating road roughness and vehicle speeds to human whole body vibration and exposure limits.” Int. J. Pavement Eng., 3(4), 207–216.
Akçay, H. (2014). “Subspace-based spectrum estimation in frequency-domain by regularized nuclear norm minimization.” Signal Process., 99, 69–85.
Akçay, H., and Türkay, S. (2004). “Frequency domain subspace-based identification of discrete-time power spectra from non-uniformly spaced measurements.” Automatica, 40(8), 1333–1347.
Akçay, H., and Türkay, S. (2015a). “Positive realness in stochastic subspace identification: A regularized and re-weighted nuclear norm minimization approach.” Proc., European Control Conf. 2015 (ECC’15), Linz, Austria, 1754–1759.
Akçay, H., and Türkay, S. (2015b). “Subspace-based spectrum estimation by reweighted and regularized nuclear norm minimization in frequency-domain.” Proc., 10th IEEE Conf. on Industrial Electronics and Applications, Auckland, New Zealand, 438–443.
Andrén, P. (2006). “Power spectral density approximations of longitudinal road profiles.” Int. J. Veh. Des., 40(1–3), 2–14.
ASTM. (2008). “Standard practice for computing international roughness index of roads from longitudinal profile measurements.” ASTM E1926-08, West Conshohocken, PA.
Bogsjö, K., Podgorski, K., and Rychlik, I. (2012). “Models for road surface roughness.” Veh. Syst. Dyn., 50(5), 1–23.
BSI (British Standards Institution). (1972). “Proposals for generalized road inputs to vehicles.”, London.
Cebon, D., and Newlan, D. E. (1983). “The artificial generation of road surface topography by inverse FFT method.” Proc., 8th IAVSD Symp. on the Dynamics of Vehicles on Roads and on Railway Tracks, Cambridge, MA, 29–42.
CEN (European Committee for Standardization). (2006). “Surface characteristics of road and airfield pavements—Test methods—Part5: Determination of longitudinal unevenness indices.”, Brussels, Belgium.
Chaika, M., Gorsich, D., and Sun, T. C. (2004). “Some statistical tests in the study of terrain modelling.” Int. J. Veh. Des., 36(2), 132–148.
Dodds, C. J., and Robson, J. D. (1973). “The description of road surface roughness.” J. Sound Vib., 31(2), 175–183.
Gillespie, T. D. (2014). Fundamentals of vehicle dynamics, SAE International, Warrendale, PA.
ISO (International Standardization Organization). (1995). “Mechanical vibration-road surface profiles—Reporting of measured data.”, Geneva.
ISO (International Standardization Organization). (1997). “Mechanical vibration and shock—Evaluation of human exposure to whole-body vibration—Part I: General requirements.”, Geneva, Switzerland.
Kropáč, O., and Múčka, P. (2004). “Non-standard longitudinal profiles of roads and indicators for their characterization.” Int. J. Veh. Des., 36(2–3), 149–172.
Kropáč, O., and Múčka, P. (2009). “Effect of longitudinal road waviness on vehicle vibration response.” Veh. Syst. Dyn., 47(2), 135–153.
La Barre, R. P., Forbes, R. T., and Andrews, S. (1970). “The measurement and analysis of road surface roughness.”, Motor Industry Research Association, Detroit.
Ma, R., Chemistruck, H., and Ferris, J. B. (2013). “State-of-the-art of terrain profile characterisation.” Int. J. Veh. Des., 61(1–4), 285–304.
Papoulis, A. (2002). Probability, random variables, and stochastic processes, McGraw-Hill, Europe.
Sayers, M. W., and Karamihas, S. M. (1996). “Interpretation of road roughness profile data.”, Transportation Research Institute, Univ. of Michigan, Ann Arbor, MI, 1–166.
Sun, L., Zhang, Z., and Ruth, J. (2001). “Modeling indirect statistics of surface roughness.” J. Transp. Eng., 105–111.
Szöke, D., and Kuti, I. (2004). “A new development in the numerical description of road profile realizations.” Int. J. Veh. Des., 34(2), 183–190.
Türkay, S., and Akçay, H. (2005). “A study on random vibration characteristics of the quarter-car model.” J. Sound Vib., 282(1–2), 111–124.
Türkay, S., and Akçay, H. (2015). “Road profile modeling by subspace identification methods.” Proc., 15th Int. Conf. on Control, Automation and Systems (ICCAS 2015), Busan, Korea, 1618–1623.
Türkay, S., and Akçay, H. (2016). “Stochastic models for parallel road tracks.” Proc., 17th Carpathian Control Conf., High Tatras, Slovakia.
UMTRI (University of Michigan Transportation Research Institute). (2015). “Long-term pavement performance road profile data.” 〈http://www.umtri.umich.edu/erd/roughness/lttp-erd.html〉 (Mar. 21, 2014).
Wen, W. (2008). “Road roughness detection by analyzing IMU data.” M.Sc. thesis, Geodesy, KTH, Sweden, 1–101.

Information & Authors

Information

Published In

Go to Journal of Transportation Engineering
Journal of Transportation Engineering
Volume 142Issue 11November 2016

History

Received: Aug 5, 2015
Accepted: Mar 21, 2016
Published online: Jun 22, 2016
Published in print: Nov 1, 2016
Discussion open until: Nov 22, 2016

Permissions

Request permissions for this article.

Authors

Affiliations

Semiha Türkay [email protected]
Assistant Professor, Dept. of Electrical and Electronics Engineering, Anadolu Univ., Eskişehir 26555, Turkey (corresponding author). E-mail: [email protected]
Hüseyin Akçay [email protected]
Professor, Dept. of Electrical and Electronics Engineering, Anadolu Univ., Eskişehir 26555, Turkey. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share