Robust design optimization with dynamic constraints using numerical continuation
Anderson, Jesse Cole
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https://hdl.handle.net/2142/104728
Description
Title
Robust design optimization with dynamic constraints using numerical continuation
Author(s)
Anderson, Jesse Cole
Issue Date
2019-01-02
Director of Research (if dissertation) or Advisor (if thesis)
Dankowicz, Harry
Department of Study
Mechanical Sci & Engineering
Discipline
Mechanical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
continuation
optimization
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.
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