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Stochastic Finite Element Methods

2017-10-28 Science
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Release : 2017-10-28
Genre : Science
Kind : eBook
Book Rating : 285/5 ( reviews)

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Book Synopsis Stochastic Finite Element Methods by : Vissarion Papadopoulos

Download or read book Stochastic Finite Element Methods written by Vissarion Papadopoulos. This book was released on 2017-10-28. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a self-contained treatment of stochastic finite element methods. It helps the reader to establish a solid background on stochastic and reliability analysis of structural systems and enables practicing engineers to better manage the concepts of analysis and design in the presence of uncertainty. The book covers the basic topics of computational stochastic mechanics focusing on the stochastic analysis of structural systems in the framework of the finite element method. The target audience primarily comprises students in a postgraduate program specializing in structural engineering but the book may also be beneficial to practicing engineers and research experts alike.

Stochastic Finite Elements: A Spectral Approach

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 942/5 ( reviews)

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Book Synopsis Stochastic Finite Elements: A Spectral Approach by : Roger G. Ghanem

Download or read book Stochastic Finite Elements: A Spectral Approach written by Roger G. Ghanem. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This monograph considers engineering systems with random parame ters. Its context, format, and timing are correlated with the intention of accelerating the evolution of the challenging field of Stochastic Finite Elements. The random system parameters are modeled as second order stochastic processes defined by their mean and covari ance functions. Relying on the spectral properties of the covariance function, the Karhunen-Loeve expansion is used' to represent these processes in terms of a countable set of un correlated random vari ables. Thus, the problem is cast in a finite dimensional setting. Then, various spectral approximations for the stochastic response of the system are obtained based on different criteria. Implementing the concept of Generalized Inverse as defined by the Neumann Ex pansion, leads to an explicit expression for the response process as a multivariate polynomial functional of a set of un correlated random variables. Alternatively, the solution process is treated as an element in the Hilbert space of random functions, in which a spectral repre sentation in terms of the Polynomial Chaoses is identified. In this context, the solution process is approximated by its projection onto a finite subspace spanned by these polynomials.

Reliability Assessment Using Stochastic Finite Element Analysis

2000-05-22 Technology & Engineering
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Release : 2000-05-22
Genre : Technology & Engineering
Kind : eBook
Book Rating : 615/5 ( reviews)

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Book Synopsis Reliability Assessment Using Stochastic Finite Element Analysis by : Achintya Haldar

Download or read book Reliability Assessment Using Stochastic Finite Element Analysis written by Achintya Haldar. This book was released on 2000-05-22. Available in PDF, EPUB and Kindle. Book excerpt: The first complete guide to using the Stochastic Finite Element Method for reliability assessment Unlike other analytical reliability estimation techniques, the Stochastic Finite Element Method (SFEM) can be used for both implicit and explicit performance functions, making it a particularly powerful and robust tool for today's engineer. This book, written by two pioneers in SFEM-based methodologies, shows how to use SFEM for the reliability analysis of a wide range of structures. It begins by reviewing essential risk concepts, currently available risk evaluation procedures, and the use of analytical and sampling methods in estimating risk. Next, it introduces SFEM evaluation procedures, with detailed coverage of displacement-based and stress-based deterministic finite element approaches. Linear, nonlinear, static, and dynamic problems are considered separately to demonstrate the robustness of the methods. The risk or reliability estimation procedure for each case is presented in different chapters, with theory complemented by a useful series of examples. Integrating advanced concepts in risk-based design, finite elements, and mechanics, Reliability Assessment Using Stochastic Finite Element Analysis is vital reading for engineering professionals and students in all areas of the field.

The Stochastic Finite Element Method

1993-02-02 Technology & Engineering
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Release : 1993-02-02
Genre : Technology & Engineering
Kind : eBook
Book Rating : 268/5 ( reviews)

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Book Synopsis The Stochastic Finite Element Method by : Michael Kleiber

Download or read book The Stochastic Finite Element Method written by Michael Kleiber. This book was released on 1993-02-02. Available in PDF, EPUB and Kindle. Book excerpt: Combines two crucial techniques created to deal with complex problems of modern engineering--the finite element method and stochastic analysis. By utilizing the computationally effective finite element approach, it offers a means to obtain extremely useful insight into the way in which ever-existing structural uncertainties propagate. Includes the latest research on the topic of stochastic finite elements. Computer programs, available on request, demonstrate the theory.

Finite Element Methods for Structures with Large Stochastic Variations

2003 Language Arts & Disciplines
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Release : 2003
Genre : Language Arts & Disciplines
Kind : eBook
Book Rating : 315/5 ( reviews)

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Book Synopsis Finite Element Methods for Structures with Large Stochastic Variations by : Isaac Elishakoff

Download or read book Finite Element Methods for Structures with Large Stochastic Variations written by Isaac Elishakoff. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method (FEM) can be successfully applied to various field problems in solid mechanics, fluid mechanics and electrical engineering. This text discusses finite element methods for structures with large stochastic variations.

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