Stochastic Finite Elements

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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.
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
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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.
Finite Element Analysis For Satellite Structures
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Author : Gasser F. Abdelal
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-05
Finite Element Analysis For Satellite Structures written by Gasser F. Abdelal 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 2012-11-05 with Technology & Engineering categories.
Designing satellite structures poses an ongoing challenge as the interaction between analysis, experimental testing, and manufacturing phases is underdeveloped. Finite Element Analysis for Satellite Structures: Applications to Their Design, Manufacture and Testing explains the theoretical and practical knowledge needed to perform design of satellite structures. By layering detailed practical discussions with fully developed examples, Finite Element Analysis for Satellite Structures: Applications to Their Design, Manufacture and Testing provides the missing link between theory and implementation. Computational examples cover all the major aspects of advanced analysis; including modal analysis, harmonic analysis, mechanical and thermal fatigue analysis using finite element method. Test cases are included to support explanations an a range of different manufacturing simulation techniques are described from riveting to shot peening to material cutting. Mechanical design of a satellites structures are covered in three steps: analysis step under design loads, experimental testing to verify design, and manufacturing. Stress engineers, lecturers, researchers and students will find Finite Element Analysis for Satellite Structures: Applications to Their Design, Manufacture and Testing a key guide on with practical instruction on applying manufacturing simulations to improve their design and reduce project cost, how to prepare static and dynamic test specifications, and how to use finite element method to investigate in more details any component that may fail during testing.
Interval Finite Element Method With Matlab
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Author : Sukanta Nayak
language : en
Publisher: Academic Press
Release Date : 2018-01-23
Interval Finite Element Method With Matlab written by Sukanta Nayak and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-23 with Technology & Engineering categories.
Interval Finite Element Method with MATLAB provides a thorough introduction to an effective way of investigating problems involving uncertainty using computational modeling. The well-known and versatile Finite Element Method (FEM) is combined with the concept of interval uncertainties to develop the Interval Finite Element Method (IFEM). An interval or stochastic environment in parameters and variables is used in place of crisp ones to make the governing equations interval, thereby allowing modeling of the problem. The concept of interval uncertainties is systematically explained. Several examples are explored with IFEM using MATLAB on topics like spring mass, bar, truss and frame. - Provides a systematic approach to understanding the interval uncertainties caused by vague or imprecise data - Describes the interval finite element method in detail - Gives step-by-step instructions for how to use MATLAB code for IFEM - Provides a range of examples of IFEM in use, with accompanying MATLAB codes
Stochastic Finite Elements
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Author : Roger Ghanem
language : en
Publisher: Springer Verlag
Release Date : 1991
Stochastic Finite Elements written by Roger Ghanem and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Technology & Engineering categories.
A comprehensive treatment of the theories and concepts behind analyzing a class of discrete mathematical models of engineering systems whose properties and excitations can be represented as random processes. The spectral approach extends the deterministic finite element method to the space of random functions. Addressed to students and researchers in mechanical and other branches of engineering. Annotation copyrighted by Book News, Inc., Portland, OR
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.
Automated Solution Of Differential Equations By The Finite Element Method
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Author : Anders Logg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-24
Automated Solution Of Differential Equations By The Finite Element Method written by Anders Logg 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 2012-02-24 with Computers categories.
This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.