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Stochastic Finite Element Methods


Stochastic Finite Element Methods
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Stochastic Finite Elements A Spectral Approach


Stochastic Finite Elements A Spectral Approach
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Author : Roger G. Ghanem
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Stochastic Finite Elements A Spectral Approach written by Roger G. Ghanem and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


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.



Finite Element Methods For Structures With Large Stochastic Variations


Finite Element Methods For Structures With Large Stochastic Variations
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Author : Isaac Elishakoff
language : en
Publisher: Oxford University Press, USA
Release Date : 2003

Finite Element Methods For Structures With Large Stochastic Variations written by Isaac Elishakoff and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Language Arts & Disciplines categories.


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.



The Stochastic Finite Element Method


The Stochastic Finite Element Method
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Author : Michael Kleiber
language : en
Publisher: Wiley
Release Date : 1993-02-02

The Stochastic Finite Element Method written by Michael Kleiber and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02-02 with Technology & Engineering categories.


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.



Stochastic Finite Element Methods


Stochastic Finite Element Methods
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Author : Vissarion Papadopoulos
language : en
Publisher: Springer
Release Date : 2017-10-28

Stochastic Finite Element Methods written by Vissarion Papadopoulos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-28 with Science categories.


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.



Reliability Assessment Using Stochastic Finite Element Analysis


Reliability Assessment Using Stochastic Finite Element Analysis
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Author : Achintya Haldar
language : en
Publisher: John Wiley & Sons
Release Date : 2000-05-22

Reliability Assessment Using Stochastic Finite Element Analysis written by Achintya Haldar and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-22 with Technology & Engineering categories.


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


The Stochastic Finite Element Method
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Author : Michael Kleiber
language : en
Publisher:
Release Date :

The Stochastic Finite Element Method written by Michael Kleiber and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Stochastic Finite Element Methods And Reliability A State Of The Art Report


Stochastic Finite Element Methods And Reliability A State Of The Art Report
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Author : Bruno Sudret
language : en
Publisher:
Release Date : 2000

Stochastic Finite Element Methods And Reliability A State Of The Art Report written by Bruno Sudret and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Finite element method categories.




The Stochastic Finite Element Method


The Stochastic Finite Element Method
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Author : MichaL Kleiber
language : en
Publisher:
Release Date : 1992

The Stochastic Finite Element Method written by MichaL Kleiber and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Finite element method categories.




Uncertain Analysis In Finite Elements Models


Uncertain Analysis In Finite Elements Models
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Author : Wenhui Mo
language : en
Publisher: Bentham Science Publishers
Release Date : 2022-08-31

Uncertain Analysis In Finite Elements Models written by Wenhui Mo and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-31 with Science categories.


This book explains uncertainty analysis for finite elements and general nonlinear problems. It starts with the fundamentals of the topic and progresses to complex methods through 9 chapters. Each chapter focuses on a specific, relevant topic and provides information in a structured reading format for advanced learners. The author explains different models relevant to the topic where applicable, in an effort to cover the diverse aspects of mathematical analysis. Topics covered in the book include: - Nonlinear stochastic finite element methods - Reliability calculations - Static analysis of interval finite element - Linear and nonlinear vibration analysis - Stochastic, random, fuzzy and mixed fields - Mixed finite element analysis Uncertainty Analysis in Finite Elements Models is an ideal reference for advanced courses in mathematical analysis and engineering that require students to understand the basics of uncertainty analysis and basic reliability calculations.



Stochastic Finite Element Method With Simple Random Elements


Stochastic Finite Element Method With Simple Random Elements
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Author : Hans-Jörg Starkloff
language : en
Publisher:
Release Date : 2008

Stochastic Finite Element Method With Simple Random Elements written by Hans-Jörg Starkloff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.