A Model and Spectrum Analysis of Uneven Road Surface by Means of Two-Dimensional Filtered Poisson Process

• Published in: Transactions of the Japan Society of Mechanical Engineers Series A Vol. 52; no. 477; pp. 1411 - 1416
• Main Authors: ZHANG, Xiang Wei, NAKAGIRI, Shigeru
• Format: Journal Article
• Language: English; Japanese
• Published: The Japan Society of Mechanical Engineers 1986
• Subjects: Aotomobile; Coherence Function; Filtered Poisson Process; Power Spectrum; Randomness; Uneven Road
• ISSN: 0387-5008; 1884-8338
• DOI: 10.1299/kikaia.52.1411

An attempt is made to develop a model of uneven road surface on the basis of two-dimensional filtered Poisson process in order to obtain the power spectra to be employed as the input to structural analysis of automobiles. Double sinusoidal waves are used as the shape function, whose number of the occurrence, amplitude and half wave length are random variables of the Poisson process. The power spectra and coherence function are obtained analytically by use of the said shape function. Numerical examples show that the Poisson process can simulate the road surfaces referred to in the ISO DP 8608 by means of proper choice of the process parameters and that the coherence function regarding the right and left wheels is small in the case of the isotropic and homogeneous process.