Dynamics and Stability of Rolling Viscoelastic Tires
- Author(s): Potter, Trevor
- Advisor(s): Wilkening, Jon
- et al.
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.