Original scientific paper
https://doi.org/10.31534/engmod.2023.2.ri.01m
On the Theory of Contact-induced Standing Waves in Rotating Tyres
Ivo Senjanović
orcid.org/0000-0001-9164-1361
; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Ivana Lučića 5, 10002 Zagreb, CROATIA
Damjan Čakmak
; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Ivana Lučića 5, 10002 Zagreb, CROATIA
Neven Alujević
; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Ivana Lučića 5, 10002 Zagreb, CROATIA
Nikola Vladimir
; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Ivana Lučića 5, 10002 Zagreb, CROATIA
Ivan Ćatipović
; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Ivana Lučića 5, 10002 Zagreb, CROATIA
Abstract
A new theory of contact-induced standing waves in rotating tyres is presented. The tyre is run by a rotating drum with a fixed shaft distance as in experiments. The tyre belt is modelled as a rotating ring whereas its sidewalls are modelled via radial stiffness of an elastic foundation supporting the ring. The differential equation of vibrations is reduced to the radial deflection of the ring. Critical rotation speed depends on the inflation pressure and the ring bending stiffness. Different tyre response functions are defined in the rotation speed domain with respect to the critical speed. The contact region between the tyre and the drum is defined considering the increase of the tyre radius due to the centrifugal load. Appropriate boundary conditions are specified in order to ensure a continuity of the ring deformation. Bearing reaction forces, as a result of drum penetration into the tyre, are defined.
Keywords
Tyre-drum system; ring model; boundary conditions; standing waves; analytical solution
Hrčak ID:
306338
URI
Publication date:
21.7.2023.
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