Minmax topology optimization

We describe a systematic approach for the robust optimal design of linear elastic structures subjected to unknown loading using minmax and topology optimization methods. Assuming only the loading region and norm, we distribute a given amount of material in the design domain to minimize the principal compliance, i.e. the maximum compliance that is produced by the worst-case loading scenario. We evaluate the principal compliance directly by satisfying the optimality conditions which take the form of a Steklov eigenvalue problem and thus we eliminate the need of an iterative nested optimization. To generate a well-posed topology optimization problem we use relaxation which requires homogenization theory. Examples are provided to demonstrate our algorithm.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Mechanical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Brittain, Kevin

Contributors dc:contributor

• Tortorelli, Daniel A.

• Topology Optimization
• Homogenization
• Robust Design

Statement dc:rights

• Copyright 2011 by Kevin Brittain

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/24071

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/24071