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Author Schenk, Christian A.

Title Uncertainty assessment of large finite element systems / Christian A. Schenk, Gerhart I. Schuëller
Published Berlin ; New York : Springer, [2005]
©2005
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Description 1 online resource (ix, 165 pages) : illustrations (some color)
Series Lecture notes in applied and computational mechanics, 1613-7736 ; v. 24
Lecture notes in applied and computational mechanics ; v. 24
Contents Part I Deterministic Methods and Procedures. Spectral Analysis of Finite Dimensional Operators. Finite Element Method. Non-Linear Static Analysis. Dynamic Analysis -- Part II Probabilistic Methods and Procedures. Rational Treatment of Uncertainties. Karhunen-Loève Expansion. Direct Monte Carlo Simulation. Equivalent Statistical Linearization. Random Vibrations of Large Finite Element Systems -- Part III Practical Applications. Stability Analysis of Cylindrical Shells with Random Imperfections. Random Vibrations of Multi-Story Office Buildings
Summary "In this monograph novel computational procedures for the uncertainty assessment of large finite element systems are presented. The procedures are applicable to well known problems in computational stochastic mechanics, such as the stability analysis of systems with random imperfections and the dynamic analysis of deterministic systems under stochastic loading. For the dynamic analysis of deterministic systems under stochastic loading an efficient procedure based on the Karhunen-Loeve representation of the response is presented. The capabilities of the developed procedures are demonstrated with several numerical examples."--Jacket
Bibliography Includes bibliographical references (pages 153-162)
Subject Structural analysis (Engineering) -- Mathematical models.
Finite element method.
Stochastic processes -- Mathematical models.
Form Electronic book
Author Schuëller, Gerhart I.
LC no. 2005925344
ISBN 1281391972
3540253432
3540323988
9781281391971
9783540253433
9783540323983