Uncertainty Assessment of Large Finite Element Systems

Christian A. Schenk,Gerhart I. Schueller

Uncertainty Assessment of Large Finite Element Systems
Format
Paperback
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country
Germany
Published
30 November 2010
Pages
166
ISBN
9783642064647

Uncertainty Assessment of Large Finite Element Systems

Christian A. Schenk,Gerhart I. Schueller

The treatment of uncertainties in the analysis of engineering structures remains one of the premium challenges in modern structural mechanics. It is only in recent years that the developments in stochastic and deterministic computational mechanics began to be synchronized. To foster these developments, novel computational procedures for the uncertainty assessment of large finite element systems are presented in this monograph. The stochastic input is modeled by the so-called Karhunen-Loeve expansion, which is formulated in this context both for scalar and vector stochastic processes as well as for random fields. Particularly for strongly non-linear structures and systems the direct Monte Carlo simulation technique has proven to be most advantageous as method of solution. The capabilities of the developed procedures are demonstrated by showing some practical applications.

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