Lecture Notes in Applied and Computational Mechanics

Schenk, Christian A.; Schuëller, Gerhart I.

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.

Details

Published by: Springer

Publication Date: 2005-06-08

Format: Hardcover

ISBN-13: 9783540253433

DOI: 10.1007/11673941

Dimensions: 235cm x155cm

Pages: 166