An evaluation of time integration schemes in the solution of contact problems

Contact analysis is an important branch of structural mechanics. The finite element method has become a major solution approach because of the high nonlinearities in contact problems. A large number of algorithms have been proposed and extensively used to solve engineering problems, but some issues have not been addressed yet. The first purpose of this research is to evaluate attempts to achieve accurate and practical time integration schemes for contact problems. Towards this aim, this study proposes an analytical form of the solutions using the time integration schemes that can be used in the evaluation of different methods. Then, a simple velocity- and acceleration-update process that is combined with the conventional time integration methods is proposed to suppress (as much as possible) spuriously generated energy during the contact events.

Department dc:contributor.department

Massachusetts Institute of Technology. Dept. of Mechanical Engineering.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2011

Author dc:creator

• Noh, Gunwoo

Advisor dc:contributor.advisor

• Klaus-Jirgen Bathe.

• Mechanical Engineering.

Statement dc:rights

• M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/65313

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/65313