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Title:Robust design optimization with dynamic constraints using numerical continuation
Author(s):Anderson, Jesse Cole
Advisor(s):Dankowicz, Harry
Department / Program:Mechanical Sci & Engineering
Discipline:Mechanical Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
robust optimization
polynomial chaos expansion
Duffing oscillator
Abstract:This thesis develops a framework for performing robust design optimization of objective functions constrained by differential, algebraic, and integral constraints. A successive parameter continuation method combined with polynomial chaos expansions is used to locate stationary points. The use of such an expansion provides the benefit of being able to directly drive the mean and variance of a given response function (or an objective function that uses them) during continuation. A toolbox capable of constructing polynomial chaos expansions for system response functions evaluated on boundary value problems has been developed for this work. Its use is demonstrated and results are compared to analytically derived solutions of a linear, harmonically forced oscillator. The robust design optimization method is then applied a harmonically forced nonlinear oscillator.
Issue Date:2019-01-02
Rights Information:Copyright 2018 Cole Anderson
Date Available in IDEALS:2019-08-23
Date Deposited:2019-05

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