Uncertainty Assessment of Large Finite Element Systems (Lecture Notes in Applied and Computational Mechanics)

Christian A. Schenk; Gerhart I. Schuëller

ISBN 10: 3540253432 / ISBN 13: 9783540253433

Published by Springer, 2005

About this Item

Ex-library with the usual features. The interior is clean and tight. Binding is good. Cover shows light wear and has library label on the front.

Seller Inventory # 1099n

Bibliographic Details

• Title: Uncertainty Assessment of Large Finite Element Systems (Lecture Notes in Applied and Computational Mechanics)
• Publisher: Springer
• Publication Date: 2005
• Language: English
• ISBN 10: 3540253432
• ISBN 13: 9783540253433
• Binding: Hard Cover
• Condition: Good
• Dust Jacket Condition: No Jacket
• Book Type: Ex-Library

About this title

Synopsis

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-Loève 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.

From the Back Cover

The treatment of uncertainties in the analysis of engineering structures remains one of the premium challenges in structural mechanics. It is only in recent years that the developments in stochastic and deterministic computational mechanics began to be synchronized. 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-Loève representation of the response is presented. The capabilities of the developed procedures are demonstrated with several numerical examples.