Article: Relation between power spectral density of road roughness and international roughness index and its application Journal: International Journal of Vehicle Design (IJVD) 2018 Vol.77 No.4 pp.247 - 271 Abstract: To address issues on the relation between the power spectral density (PSD) of road roughness and international roughness index (IRI), a simple method based on stochastic mathematics is used to derive the relation between the IRI and relative vertical velocity of sprung and unsprung masses of a quarter-car vibration system. The relation between the PSD of road roughness and IRI is also derived. Furthermore, two new concepts comprising time and spatial frequency IRI suitable for any form of longitudinal road-profile PSD are proposed. Based on the up-to-date ISO road classification and the proposed concepts, car-based and truck-based road classifications are presented. Compared with IRI, a new index named IRI<SUB align="right"><SMALL>tr</SMALL></SUB> is found to be a better index for ranking road roughness from the perspective of the dynamic wheel load of a truck. Inderscience Publishers - linking academia, business and industry through research

Title: Relation between power spectral density of road roughness and international roughness index and its application

Authors: Jie Li; Zhenwei Zhang; Xiong Gao; Peide Wang; Jiantong Li

Addresses: State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130025, China ' State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130025, China ' State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130025, China ' State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130025, China ' School of Finance, Nankai University, Tianjin 300350, China

Abstract: To address issues on the relation between the power spectral density (PSD) of road roughness and international roughness index (IRI), a simple method based on stochastic mathematics is used to derive the relation between the IRI and relative vertical velocity of sprung and unsprung masses of a quarter-car vibration system. The relation between the PSD of road roughness and IRI is also derived. Furthermore, two new concepts comprising time and spatial frequency IRI suitable for any form of longitudinal road-profile PSD are proposed. Based on the up-to-date ISO road classification and the proposed concepts, car-based and truck-based road classifications are presented. Compared with IRI, a new index named IRI_tr is found to be a better index for ranking road roughness from the perspective of the dynamic wheel load of a truck.

Keywords: road roughness; IRI; international roughness index; PSD; power spectral density; time frequency; spatial frequency; road classification; stochastic mathematics; random vibration; pavement management; vehicle manufacture; frequency response function; Gaussian distribution; dynamic wheel load.

DOI: 10.1504/IJVD.2018.099712

International Journal of Vehicle Design, 2018 Vol.77 No.4, pp.247 - 271

Accepted: 17 Feb 2019
Published online: 20 May 2019 *

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Title: Relation between power spectral density of road roughness and international roughness index and its application

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