The Fourier Analysis in Transport Application Using Matlab

Abstract

Fourier series arose during the eighteenth century as a formal solution to the classic wave equation. Later on, it was used to describe physical processes in which occurrences recur in a regular pattern. Fourier’s theorem provides the mathematical language which enables us to exactly describe the periodical processes. The aim of this paper is to show the application of the Fourier series in transport problem - the emission of the noise in the tire/pavement contact. Based on the tire imprint, the profile function was created, which was applied to the calculation of the coefficients of the Fourier series. The amplitude and frequency spectrum of the noise were assembled and calculated its performance using this coefficients. This issue has been used in the teaching of the applied mathematics and numerical methods in transport at the Jan Perner Transport Faculty, University of Pardubice.