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Decomposing pavement profile data into a Gaussian Sequence

Rouillard, Vincent (2008) Decomposing pavement profile data into a Gaussian Sequence. In: 23rd ARRB conference : research partnering with practitioners : proceedings. Australian Road Research Board, Melbourne, Vic., pp. 1-16.

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Abstract

The paper proposes that the non-Gaussian (leptokurtic) nature of pavement surface elevation data is a direct result of the inherent level type non-stationarity of the process manifested as variations in magnitude or roughness. The hypothesis that random pavement profiles are essentially composed of a sequence of zero-mean random Gaussian processes of varying standard deviations is put forward and tested. The paper introduces a numerical approach for decomposing non-stationary random vibration signals into constituent Gaussian elements by fitting a series of straight lines through the distribution estimates. The technique is based on the fact that the probability distribution function of a signal composed of a sequence of random Gaussian processes can be expressed as the sum of the individual distribution functions each weighted by the time fraction for which a Gaussian process of a particular standard deviation exists. The validity of the method was tested using a representative set of pavement profiles. Results yielded by the research is significant in that it affords great simplicity for the synthesis of road profiles which can be achieved without much difficulty when the process is Gaussian or, as is has been shown to be the case, a sequence of Gaussian events.

Item Type: Book Section
ISBN: 1876592540 ; 9781876592547
Uncontrolled Keywords: ResPubID14736, longitudinal profiles of pavements, vertical deviation of the surface, axis parallel, travel direction, power spectral density, PSD, surface topography, airport runways, highway engineering, roads, traffic engineering, transportation
Subjects: Faculty/School/Research Centre/Department > School of Engineering and Science
FOR Classification > 0913 Mechanical Engineering
SEO Classification > 8801 Ground Transport
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Depositing User: VUIR
Date Deposited: 18 Oct 2013 03:21
Last Modified: 18 Oct 2013 03:21
URI: http://vuir.vu.edu.au/id/eprint/5459
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