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.
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:
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.
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
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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.
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
Finite Element Analysis For Civil Engineering With Diana Software
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Author : Shun Chai
language : en
Publisher: Springer Nature
Release Date : 2020-05-27
Finite Element Analysis For Civil Engineering With Diana Software written by Shun Chai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-27 with Technology & Engineering categories.
This book systematically introduces readers to the finite element analysis software DIANA (DIsplacement ANAlyzer) and its applications in civil engineering. Developed by TNO Corporation in the 1970s, DIANA is frequently used in civil engineering and engineering mechanics. Unlike the software user’s manual, which provides a comprehensive introduction and theoretical analysis, this book presents a simplified overview of the basic background theory to help beginners master the software quickly. It also discusses GUI operation and the command console in Python language, and includes examples involving classical modeling operations to help readers review each section. Both the book and DIANA itself are valuable resources for students and researchers in all the structural engineering fields, such as civil engineering, bridge engineering, geotechnical engineering, tunnel engineering, underground structural engineering, irrigation, municipal engineering and fire engineering.
Finite Element Methods For Incompressible Flow Problems
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Author : Volker John
language : en
Publisher: Springer
Release Date : 2016-10-27
Finite Element Methods For Incompressible Flow Problems written by Volker John and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-27 with Mathematics categories.
This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are presented step by step, allowing readers to more easily understand the analytical techniques.
The Finite Element Method In Electromagnetics
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Author : Jian-Ming Jin
language : en
Publisher: John Wiley & Sons
Release Date : 2015-02-18
The Finite Element Method In Electromagnetics written by Jian-Ming Jin 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 2015-02-18 with Science categories.
A new edition of the leading textbook on the finite element method, incorporating major advancements and further applications in the field of electromagnetics The finite element method (FEM) is a powerful simulation technique used to solve boundary-value problems in a variety of engineering circumstances. It has been widely used for analysis of electromagnetic fields in antennas, radar scattering, RF and microwave engineering, high-speed/high-frequency circuits, wireless communication, electromagnetic compatibility, photonics, remote sensing, biomedical engineering, and space exploration. The Finite Element Method in Electromagnetics, Third Edition explains the method’s processes and techniques in careful, meticulous prose and covers not only essential finite element method theory, but also its latest developments and applications—giving engineers a methodical way to quickly master this very powerful numerical technique for solving practical, often complicated, electromagnetic problems. Featuring over thirty percent new material, the third edition of this essential and comprehensive text now includes: A wider range of applications, including antennas, phased arrays, electric machines, high-frequency circuits, and crystal photonics The finite element analysis of wave propagation, scattering, and radiation in periodic structures The time-domain finite element method for analysis of wideband antennas and transient electromagnetic phenomena Novel domain decomposition techniques for parallel computation and efficient simulation of large-scale problems, such as phased-array antennas and photonic crystals Along with a great many examples, The Finite Element Method in Electromagnetics is an ideal book for engineering students as well as for professionals in the field.