Dynamics and Stability of Rolling Viscoelastic Tires
Abstract
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 eects 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.
- Authors:
-
- Univ. of California, Berkeley, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1171547
- Report Number(s):
- LBNL-6187E
- DOE Contract Number:
- AC02-05CH11231
- Resource Type:
- Thesis/Dissertation
- Resource Relation:
- Related Information: Designation of Academic Dissertation: Doctoral thesis; Academic Degree: Ph.D.; Name of Academic Institution: University of California, Berkeley; Location of Academic Institution: Berkeley, CA
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; viscoelasticity; time periodic solutions; free spinning rolling elastic tires
Citation Formats
Potter, Trevor. Dynamics and Stability of Rolling Viscoelastic Tires. United States: N. p., 2013.
Web. doi:10.2172/1171547.
Potter, Trevor. Dynamics and Stability of Rolling Viscoelastic Tires. United States. https://doi.org/10.2172/1171547
Potter, Trevor. 2013.
"Dynamics and Stability of Rolling Viscoelastic Tires". United States. https://doi.org/10.2172/1171547. https://www.osti.gov/servlets/purl/1171547.
@article{osti_1171547,
title = {Dynamics and Stability of Rolling Viscoelastic Tires},
author = {Potter, Trevor},
abstractNote = {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 eects 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.},
doi = {10.2172/1171547},
url = {https://www.osti.gov/biblio/1171547},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Apr 30 00:00:00 EDT 2013},
month = {Tue Apr 30 00:00:00 EDT 2013}
}