The Stochastic Finite Element Method

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Stochastic Finite Element Methods

Author : Vissarion Papadopoulos
Publisher : Springer
ISBN 13 : 3319645285
Total Pages : 151 pages
Book Rating : 4.3/5 (196 download)

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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 and published by Springer. This book was released on 2017-10-28 with total page 151 pages. 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

Author : Roger G. Ghanem
Publisher : Springer Science & Business Media
ISBN 13 : 1461230942
Total Pages : 217 pages
Book Rating : 4.4/5 (612 download)

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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 and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 217 pages. 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

Author : Achintya Haldar
Publisher : John Wiley & Sons
ISBN 13 : 9780471369615
Total Pages : 356 pages
Book Rating : 4.3/5 (696 download)

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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 and published by John Wiley & Sons. This book was released on 2000-05-22 with total page 356 pages. 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

Author : Michael Kleiber
Publisher : Wiley
ISBN 13 : 9780471936268
Total Pages : 336 pages
Book Rating : 4.9/5 (362 download)

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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 and published by Wiley. This book was released on 1993-02-02 with total page 336 pages. 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

Author : Isaac Elishakoff
Publisher : Oxford University Press, USA
ISBN 13 : 9780198526315
Total Pages : 282 pages
Book Rating : 4.5/5 (263 download)

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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 and published by Oxford University Press, USA. This book was released on 2003 with total page 282 pages. 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.

Interval Finite Element Method with MATLAB

Author : Sukanta Nayak
Publisher : Academic Press
ISBN 13 : 0128129743
Total Pages : 170 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Interval Finite Element Method with MATLAB by : Sukanta Nayak

Download or read book Interval Finite Element Method with MATLAB written by Sukanta Nayak and published by Academic Press. This book was released on 2018-01-23 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems

Author : Achintya Haldar
Publisher : World Scientific
ISBN 13 : 9810231288
Total Pages : 437 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems by : Achintya Haldar

Download or read book Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems written by Achintya Haldar and published by World Scientific. This book was released on 1997 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The functionality of modern structural, mechanical and electrical or electronic systems depends on their ability to perform under uncertain conditions. Consideration of uncertainties and their effect on system behavior is an essential and integral part of defining systems. In eleven chapters, leading experts present an overview of the current state of uncertainty modeling, analysis and design of large systems in four major areas: finite and boundary element methods (common structural analysis techniques), fatigue, stability analysis, and fault-tolerant systems. The content of this book is unique; it describes exciting research developments and challenges in emerging areas, and provide a sophisticated toolbox for tackling uncertainty modeling in real systems.

The Stochastic Finite Element Method

Author : Michael Kleiber
Publisher :
ISBN 13 : 9780608212937
Total Pages : 336 pages
Book Rating : 4.2/5 (129 download)

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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 and published by . This book was released on with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Structural Dynamics

Author : T. Ariaratnam
Publisher : CRC Press
ISBN 13 : 1000109933
Total Pages : 396 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Stochastic Structural Dynamics by : T. Ariaratnam

Download or read book Stochastic Structural Dynamics written by T. Ariaratnam and published by CRC Press. This book was released on 2020-12-17 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a series of original contributions in the area of Stochastic Dynamics, which demonstrates the impact of Mike Lin's research and teaching in the area of random vibration and structural dynamics.

Finite Element Analysis for Satellite Structures

Author : Gasser F. Abdelal
Publisher : Springer Science & Business Media
ISBN 13 : 1447146379
Total Pages : 339 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Finite Element Analysis for Satellite Structures by : Gasser F. Abdelal

Download or read book Finite Element Analysis for Satellite Structures written by Gasser F. Abdelal and published by Springer Science & Business Media. This book was released on 2012-11-05 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Uncertainty Assessment of Large Finite Element Systems

Author : Christian A. Schenk
Publisher : Springer Science & Business Media
ISBN 13 : 9783540253433
Total Pages : 184 pages
Book Rating : 4.2/5 (534 download)

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Book Synopsis Uncertainty Assessment of Large Finite Element Systems by : Christian A. Schenk

Download or read book Uncertainty Assessment of Large Finite Element Systems written by Christian A. Schenk and published by Springer Science & Business Media. This book was released on 2005-06-08 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Finite Element Method in Electromagnetics

Author : Jian-Ming Jin
Publisher : John Wiley & Sons
ISBN 13 : 1118842022
Total Pages : 728 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis The Finite Element Method in Electromagnetics by : Jian-Ming Jin

Download or read book The Finite Element Method in Electromagnetics written by Jian-Ming Jin and published by John Wiley & Sons. This book was released on 2015-02-18 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Stochastic Finite Element Method

Author : MichaL Kleiber
Publisher :
ISBN 13 :
Total Pages : 322 pages
Book Rating : 4.:/5 (92 download)

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Book Synopsis The Stochastic Finite Element Method by : MichaL Kleiber

Download or read book The Stochastic Finite Element Method written by MichaL Kleiber and published by . This book was released on 1992 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Dynamics of Marine Structures

Author : Arvid Naess
Publisher : Cambridge University Press
ISBN 13 : 0521881552
Total Pages : 425 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Stochastic Dynamics of Marine Structures by : Arvid Naess

Download or read book Stochastic Dynamics of Marine Structures written by Arvid Naess and published by Cambridge University Press. This book was released on 2013 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: For students and professionals, this covers theory and methods for stochastic modelling and analysis of marine structures under environmental loads.

An Introduction to Computational Stochastic PDEs

Author : Gabriel J. Lord
Publisher : Cambridge University Press
ISBN 13 : 0521899907
Total Pages : 516 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis An Introduction to Computational Stochastic PDEs by : Gabriel J. Lord

Download or read book An Introduction to Computational Stochastic PDEs written by Gabriel J. Lord and published by Cambridge University Press. This book was released on 2014-08-11 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a practical presentation of stochastic partial differential equations arising in physical applications and their numerical approximation.

Automation of Finite Element Methods

Author : Jože Korelc
Publisher : Springer
ISBN 13 : 3319390058
Total Pages : 367 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Automation of Finite Element Methods by : Jože Korelc

Download or read book Automation of Finite Element Methods written by Jože Korelc and published by Springer. This book was released on 2016-06-08 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: New finite elements are needed as well in research as in industry environments for thedevelopment of virtual prediction techniques. The design and implementation of novel finiteelements for specific purposes is a tedious and time consuming task, especially for nonlinearformulations. The automation of this process can help to speed up this processconsiderably since the generation of the final computer code can be accelerated by order ofseveral magnitudes.This book provides the reader with the required knowledge needed to employ modernautomatic tools like AceGen within solid mechanics in a successful way. It covers the rangefrom the theoretical background, algorithmic treatments to many different applications. Thebook is written for advanced students in the engineering field and for researchers ineducational and industrial environments.

Probabilistic Structural Mechanics Handbook

Author : C.R. Sundararajan
Publisher : Springer Science & Business Media
ISBN 13 : 1461517710
Total Pages : 756 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Probabilistic Structural Mechanics Handbook by : C.R. Sundararajan

Download or read book Probabilistic Structural Mechanics Handbook written by C.R. Sundararajan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need for a comprehensive book on probabilistic structural mechanics that brings together the many analytical and computational methods developed over the years and their applications in a wide spectrum of industries-from residential buildings to nuclear power plants, from bridges to pressure vessels, from steel structures to ceramic structures-became evident from the many discussions the editor had with practising engineers, researchers and professors. Because no single individual has the expertise to write a book with such a di.verse scope, a group of 39 authors from universities, research laboratories, and industries from six countries in three continents was invited to write 30 chapters covering the various aspects of probabilistic structural mechanics. The editor and the authors believe that this handbook will serve as a reference text to practicing engineers, teachers, students and researchers. It may also be used as a textbook for graduate-level courses in probabilistic structural mechanics. The editor wishes to thank the chapter authors for their contributions. This handbook would not have been a reality without their collaboration.