Contributions to the Computational Analysis of Multi-Dimensional Stochastic Dynamical Systems
Wojtkiewicz, Steven F., Jr
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https://hdl.handle.net/2142/85135
Description
Title
Contributions to the Computational Analysis of Multi-Dimensional Stochastic Dynamical Systems
Author(s)
Wojtkiewicz, Steven F., Jr
Issue Date
2000
Doctoral Committee Chair(s)
Bergman, Lawrence A.
Department of Study
Aerospace Engineering
Discipline
Aerospace Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Civil
Language
eng
Abstract
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.
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