Dynamics and Stability of Rolling Viscoelastic Tires |
Posted on:2014-01-10 | Degree:Ph.D | Type:Dissertation |
University:University of California, Berkeley | Candidate:Potter, Trevor James | Full Text:PDF |
GTID:1450390008958523 | Subject:Engineering |
Abstract/Summary: | |
Current steady state rolling tire calculations often do not include treads because treads destroy the rotational symmetry of the tire. We describe two methodologies to compute time periodic solutions of a two-dimensional viscoelastic tire with treads: solving a minimization problem and solving a system of equations. We also expand on work by Oden and Lin on free spinning rolling elastic tires in which they disovered a hierachy of N-peak steady state standing wave solutions. In addition to discovering a two-dimensional hierarchy of standing wave solutions that includes their N-peak hiearchy, we consider the effects of viscoelasticity on the standing wave solutions. Finally, a commonplace model of viscoelasticity used in our numerical experiments led to non-physical elastic energy growth for large tire speeds. We show that a viscoelastic model of Govindjee and Reese remedies the problem. |
Keywords/Search Tags: | Tire, Rolling, Viscoelastic, Standing wave solutions |
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