Methodology for Determination Coefficients Values of the Proposed Rheological Model for the Tire Tread

Abstract

The article presents theoretical and experimental researches on investigation properties of the vehicle wheel tire tread. The approach presented in the research of the pre-experimental measurement, based on spectrum analysis, and combined with theoretical investigation is able to describe a viscos-elastic behaviour of the tire tread material. Proposed mathematical model of the vehicle wheel tire tread material represents five parameters rheological model of the Maxwell and Kelvin-Voigt units’ hybrid. The research included optimization task based on minimization objective function for determination a stiffness and damping coefficients. In the proposed rheological model not only the displacements are unknown, but also forces that are described by second–order differential equations. Validation between experimental measurement and theoretical investigation based on the frequency spectrum analysis was made.