Mathematical Model for the Simulation of Contact-Induced Standing Waves in Tyres by a Rotating Ring Based on Experiment

Scientific paper - Original scientific paper

• Author: Ivo Senjanović
• Author: Damjan Čakmak
• Author: Neven Alujević
• Author: Nikola Vladimir
• Author: Ivan Ćatipović
• Author's institution: University of Zagreb; Faculty of Mechanical Engineering and Naval Architecture
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Shipbuilding

Abstract (english)

A physics-based mathematical model for the simulation of contact-induced standing waves in rotating tyres is presented. A toroidal balloon mounted on a hub, in contact with a rigid flywheel, is considered. The distance between the hub and the flywheel shafts is kept constant during rotation. The balloon is modelled as a membrane structure, i.e. as a ring on elastic support without flexural stiffness. The differential equations of motion for the ring radial and circumferential displacements are formulated according to the cylindrical shell theory. It is found that the critical rotation speed is a transition parameter from a stable to unstable state, whereas the standing waves denote ring post-buckling behaviour. Boundary conditions at the ring and flywheel contact edges are specified so as to ensure the continuity of ring deformation. The internal load due to the penetration of the flywheel into the expanded ring, as well as the reaction forces in shaft bearings, are determined. The influence of the circumferential displacement on ring response is also analysed. The analytical procedure is verified by comparing the numerical and the available experimental results. In spite of a rather simple balloon model, a good qualitative agreement between the two sets of results is obtained.

• Keywords (english): rotating tyre; standing waves; ring model; analytical procedure; experiment
• Language: croatian
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: International Journal for Engineering Modelling
• Numbering: vol. 35, no. 2, pp. 91-121
• p-ISSN: 1330-1365
• e-ISSN: 1849-8671
• DOI: https://doi.org/10.31534/engmod.2022.2.ri.06m
• URN:NBN: urn:nbn:hr:235:315298
• Publication: 2022-11-28
• Document URL: https://hrcak.srce.hr/286232
• Type of resource: Text
• Access conditions: Open access
• Created on: 2024-05-22 08:43:08