Abstract: Stochastic Analysis of Multivariate Systems in Computational Mechanics and Engineering

Ioannis Doltsinis, Institute for Computer Applications (ICA)
University of Stuttgart, Germany
"Stochastic Analysis of Multivariate Systems in Computational Mechanics and Engineering"
published CIMNE, Barcelona, 1999
320 Pages, Hardcover

This book reflects a two year joint work of a European Consortium from industry and academia concerned with the introduction of stochastic techniques for the analysis of physical systems in several random variables and their application in engineering. The research and development project was originated by the requirement for validation of numerical models employed in computational mechanics. The text collects edited contributions by project partners, organized in three main parts: Theoretical Background, Software Implementation and Industrial Engineering Applications.

In the theoretical part, multivariate stochastic concepts are described for random variables in the space and time domain. The account comprises statistical characterization of multivariate data, reduced representation of the sample based on principal components and factor analysis, comparison between samples. Correlation between variables, regression and model modification techniques are addressed with reference to random input-output systems. Signal cloning and system identification are dealt with in the context of time dependent random processes.

Engineering and industrial applications of stochastic analysis are demonstrated in the book for various mechanical systems. these comprise selected test cases as well as complex and large scale structures from industrial practice in aerospace and automotive engineering. Most of the studies address dynamics, extending to impact behavior and crashworthiness.

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