Uncertainty Assessment of Large Finite Element Systems

• Main Authors: Schenk, Christian A. (Author), Schuëller, Gerhart I. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Lecture Notes in Applied and Computational Mechanics, 24
• Subjects: Engineering.; Mechanics.; Statistical physics.; Dynamical systems.; Computational intelligence.; Continuum mechanics.; Structural mechanics.; Vibration.; Dynamics.; Vibration, Dynamical Systems, Control.; Structural Mechanics.; Statistical Physics, Dynamical Systems and Complexity.; Computational Intelligence.; Continuum Mechanics and Mechanics of Materials.

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 computati...

Table of 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.