Robust design optimization with dynamic constraints using numerical continuation

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.

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

2019

Author dc:creator

• Anderson, Jesse Cole

Contributors dc:contributor

• Dankowicz, Harry

• continuation
• optimization
• robust optimization
• polynomial chaos expansion
• Duffing oscillator

Statement dc:rights

• Copyright 2018 Cole Anderson

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/104728

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/104728