The Stochastic Finite Element Method
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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.
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.
The Stochastic Finite Element Method
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Author : Michael Kleiber
language : en
Publisher:
Release Date : 1993-11
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 1993-11 with categories.
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.
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.
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.
Reliability Calculations With The Stochastic Finite Element
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Author : Wenhui Mo
language : en
Publisher: Bentham Science Publishers
Release Date : 2020-12-01
Reliability Calculations With The Stochastic Finite Element 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 2020-12-01 with Science categories.
Reliability Calculations with the Stochastic Finite Element presents different methods of reliability analysis for systems. Chapters explain methods used to analyze a number of systems such as single component maintenance system, repairable series system, rigid rotor balance, spring mechanics, gearbox design and optimization, and nonlinear vibration. The author proposes several established and new methods to solve reliability problems which are based on fuzzy systems, sensitivity analysis, Monte Carlo simulation, HL-RF methods, differential equations, and stochastic finite element processing, to name a few. This handbook is a useful update on reliability analysis for mechanical engineers and technical apprentices.
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.
Uncertainty Assessment Of Large Finite Element Systems
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Author : Christian A. Schenk
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-06-08
Uncertainty Assessment Of Large Finite Element Systems written by Christian A. Schenk 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 2005-06-08 with Technology & Engineering categories.
The treatment of uncertainties in the analysis of engineering structures remains one of the premium challenges in modern structural mechanics. It is only in recent years that the developments in stochastic and deterministic computational mechanics began to be synchronized. To foster these developments, novel computational procedures for the uncertainty assessment of large finite element systems are presented in this monograph. The stochastic input is modeled by the so-called Karhunen-Loève expansion, which is formulated in this context both for scalar and vector stochastic processes as well as 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.
Simulation Of Elastic Plastic Material Behaviour With Uncertain Material Parameters
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Author :
language : en
Publisher:
Release Date : 2015
Simulation Of Elastic Plastic Material Behaviour With Uncertain Material Parameters written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.