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)