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Title:Minmax topology optimization
Author(s):Brittain, Kevin
Advisor(s):Tortorelli, Daniel A.
Department / Program:Mechanical Sci & Engineering
Discipline:Mechanical Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:M.S.
Genre:Thesis
Subject(s):Topology Optimization
Homogenization
Robust Design
Abstract: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.
Issue Date:2011-05-25
URI:http://hdl.handle.net/2142/24071
Rights Information:Copyright 2011 by Kevin Brittain
Date Available in IDEALS:2011-05-25
Date Deposited:2011-05


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