Titlebook: Uncertainty Assessment of Large Finite Element Systems; Christian A. Schenk,Gerhart I. Schu?ller Book 2005 Springer-Verlag Berlin Heidelbe

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9 Direct Monte Carlo Simulation,The evaluation of the stochastic response by the Monte Carlo simulation technique is a powerful method for highly nonlinear systems as well as for systems where the input is modeled by large number of random variables.

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Christian A. Schenk,Gerhart I. Schu?llerPresents novel computational procedures for the uncertainty assessment of large finite element systems.Presents an efficient procedure based on the Karhunen-Loève representation of the response.Includ

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13 Random Vibrations of Multi-Story Structures,rather large number of Karhunen-Loève vectors is required in order to keep the truncation error acceptably small, which, in fact, may not be true for modeling measured excitation processes. Finally, it is quite obvious, that the computational effort of the proposed approach correlates strongly with the number of Karhunen- Loève vectors used.

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12 Stability Analysis of Cylindrical Shells with Random Imperfections,train relation is assumed to be linear. STAGS is designed for general purpose analysis of shell structures of arbitrary shape and complexity and proves to be most instrumental for involved, non-linear shell problems. It is particularly suited for the use in context with automatized Monte Carlo simulation. where

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Book 2005s 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..

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10 Equivalent Statistical Linearization,, see e.g. [109, 140], is conceptional simple and straight forward to apply. In the following, the concept of equivalent statistical linearization is first reviewed for scalar valued transformations and extended later on for vector valued transformations, which commonly appear in non-linear finite element models.

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