Contributions to the Computational Analysis of Multi-Dimensional Stochastic Dynamical Systems

Classical covariance control theory is extended to the case of nonlinear systems using the method of statistical linearization. The design procedure is applied to several nonlinear systems of civil engineering interest including hysteretic oscillators. The idea of covariance control is then generalized to the problem of response moment specification where higher order response moments are prescribed with the hope of having more authority over response extremes. The algorithm is then demonstrated by application to a Duffing oscillator.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Aerospace Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Wojtkiewicz, Steven F., Jr

Contributors dc:contributor

• Bergman, Lawrence A.

• Engineering, Civil

Language dc:language

eng

Identifier

(MiAaPQ)AAI9971221

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/85135