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text Dankowicz, Harry Anderson, Jesse Cole 2019-08-23T19:51:20Z 2019-08-23T19:51:20Z 2019-01-02 2019-05 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. Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2019-08-22 without embargo terms The student, Jesse Anderson, accepted the attached license on 2018-12-10 at 18:54. The student, Jesse Anderson, submitted this Thesis for approval on 2018-12-10 at 19:15. This Thesis was approved for publication on 2019-01-02 at 11:02. DSpace SAF Submission Ingestion Package generated from Vireo submission #13280 on 2019-08-22 at 14:38:34 Made available in DSpace on 2019-08-23T19:51:20Z (GMT). No. of bitstreams: 2 ANDERSON-THESIS-2019.pdf: 1068772 bytes, checksum: 692a03022d12f389a9b3e9c5ecf1ee1f (MD5) LICENSE.txt: 4211 bytes, checksum: dcb18c23b91ccf001b809f869aba59c1 (MD5) Previous issue date: 2019-01-02 application/pdf http://hdl.handle.net/2142/104728 en Copyright 2018 Cole Anderson continuation optimization robust optimization polynomial chaos expansion Duffing oscillator Robust design optimization with dynamic constraints using numerical continuation text Mechanical Sci & Engineering Mechanical Engineering University of Illinois at Urbana-Champaign Thesis M.S.