Natural Frequencies of the Bias Tire

Hirano, Michikatsu

doi:10.2346/1.2167218

Cited by 8 publications

(2 citation statements)

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“…In order to capture the variable neutral line of the standing waves, the homogeneous solution of differential equations with both trigonometric and exponential functions has to be employed, Eqs. ( 23) and (24). According to Eq.…”

Section: Fig 17 Boundary Conditions According To Experimental Resultsmentioning

confidence: 99%

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

2022

IJEM

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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.

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Section: Fig 17 Boundary Conditions According To Experimental Resultsmentioning

confidence: 99%

“…Experimental studies have been predominantly directed to the modal analysis of non-rotating [4], [23][24][25][26], and rotating tyres [27]. Dynamic stiffness has been evaluated experimentally on a small-scale tyre [28].…”

Section: Introductionmentioning

confidence: 99%