Stochastic Finite Element Methods

Author : Vissarion Papadopoulos,Dimitris G. Giovanis
Publisher : Springer
Page : 138 pages
File Size : 41,5 Mb
Release : 2017-10-28
Category : Science
ISBN : 9783319645285

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Stochastic Finite Element Methods by Vissarion Papadopoulos,Dimitris G. Giovanis Pdf

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.

Author : Roger G. Ghanem,Pol D. Spanos
Publisher : Springer Science & Business Media
Page : 217 pages
File Size : 42,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461230946

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Stochastic Finite Elements: A Spectral Approach by Roger G. Ghanem,Pol D. Spanos Pdf

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.

Author : Achintya Haldar,Sankaran Mahadevan
Publisher : John Wiley & Sons
Page : 356 pages
File Size : 47,7 Mb
Release : 2000-05-22
Category : Technology & Engineering
ISBN : 0471369616

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Reliability Assessment Using Stochastic Finite Element Analysis by Achintya Haldar,Sankaran Mahadevan Pdf

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.

Author : Michael Kleiber,Tran Duong Hien
Publisher : Wiley
Page : 336 pages
File Size : 41,5 Mb
Release : 1993-02-02
Category : Technology & Engineering
ISBN : 047193626X

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The Stochastic Finite Element Method by Michael Kleiber,Tran Duong Hien Pdf

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.

Author : Isaac Elishakoff,Yongjian Ren
Publisher : Oxford University Press, USA
Page : 282 pages
File Size : 49,5 Mb
Release : 2003
Category : Language Arts & Disciplines
ISBN : 0198526318

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Finite Element Methods for Structures with Large Stochastic Variations by Isaac Elishakoff,Yongjian Ren Pdf

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.

Author : Michael Kleiber
Publisher : Unknown
Page : 336 pages
File Size : 49,8 Mb
Release : 2024-05-21
Category : Electronic
ISBN : 0608212938

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The Stochastic Finite Element Method by Michael Kleiber Pdf

Author : Sukanta Nayak,Snehashish Chakraverty
Publisher : Academic Press
Page : 168 pages
File Size : 53,7 Mb
Release : 2018-02-05
Category : Technology & Engineering
ISBN : 9780128129746

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Interval Finite Element Method with MATLAB by Sukanta Nayak,Snehashish Chakraverty Pdf

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

Author : Gasser F. Abdelal,Nader Abuelfoutouh,Ahmed H. Gad
Publisher : Springer Science & Business Media
Page : 339 pages
File Size : 47,9 Mb
Release : 2012-11-05
Category : Technology & Engineering
ISBN : 9781447146377

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Finite Element Analysis for Satellite Structures by Gasser F. Abdelal,Nader Abuelfoutouh,Ahmed H. Gad Pdf

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.

Author : Achintya Haldar,Ard‚shir Guran,Bilal M. Ayyub
Publisher : World Scientific
Page : 437 pages
File Size : 44,7 Mb
Release : 1997
Category : Technology & Engineering
ISBN : 9789810231286

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Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems by Achintya Haldar,Ard‚shir Guran,Bilal M. Ayyub Pdf

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.

Author : T. Ariaratnam,G.I. Schueller
Publisher : CRC Press
Page : 396 pages
File Size : 43,5 Mb
Release : 2020-12-17
Category : Mathematics
ISBN : 9781000109931

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Stochastic Structural Dynamics by T. Ariaratnam,G.I. Schueller Pdf

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.

Author : C.R. Sundararajan
Publisher : Springer Science & Business Media
Page : 756 pages
File Size : 54,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461517719

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Probabilistic Structural Mechanics Handbook by C.R. Sundararajan Pdf

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.

Author : Jian-Ming Jin
Publisher : John Wiley & Sons
Page : 800 pages
File Size : 49,8 Mb
Release : 2015-02-18
Category : Science
ISBN : 9781118842027

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The Finite Element Method in Electromagnetics by Jian-Ming Jin Pdf

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.

Author : Manolis Papadrakakis,George Stefanou,Vissarion Papadopoulos
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 41,6 Mb
Release : 2011-02-01
Category : Technology & Engineering
ISBN : 9789048199877

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Computational Methods in Stochastic Dynamics by Manolis Papadrakakis,George Stefanou,Vissarion Papadopoulos Pdf

At the dawn of the 21st century, computational stochastic dynamics is an emerging research frontier. This book focuses on advanced computational methods and software tools which can highly assist in tackling complex problems in stochastic dynamic/seismic analysis and design of structures. The book is primarily intended for researchers and post-graduate students in the fields of computational mechanics and stochastic structural dynamics. Nevertheless, practice engineers as well could benefit from it as most code provisions tend to incorporate probabilistic concepts in the analysis and design of structures. The book addresses mathematical and numerical issues in stochastic structural dynamics and connects them to real-world applications. It consists of 16 chapters dealing with recent advances in a wide range of related topics (dynamic response variability and reliability of stochastic systems, risk assessment, stochastic simulation of earthquake ground motions, efficient solvers for the analysis of stochastic systems, dynamic stability, stochastic modelling of heterogeneous materials). Numerical examples demonstrating the significance of the proposed methods are presented in each chapter.

Author : I. St Doltsinis
Publisher : WIT Press
Page : 379 pages
File Size : 46,8 Mb
Release : 2012
Category : Mathematics
ISBN : 9781845646264

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Stochastic Methods in Engineering by I. St Doltsinis Pdf

The increasing industrial demand for reliable quantification and management of uncertainty in product performance forces engineers to employ probabilistic models in analysis and design, a fact that has occasioned considerable research and development activities in the field. Notes on Stochastics eventually address the topic of computational stochastic mechanics. The single volume uniquely presents tutorials on essential probabilistics and statistics, recent finite element methods for stochastic analysis by Taylor series expansion as well as Monte Carlo simulation techniques. Design improvement and robust optimisation represent key issues as does reliability assessment. The subject is developed for solids and structures of elastic and elasto-plastic material, large displacements and material deformation processes; principles are transferable to various disciplines. A chapter is devoted to the statistical comparison of systems exhibiting random scatter. Where appropriate examples illustrate the theory, problems to solve appear instructive; applications are presented with relevance to engineering practice. The book, emanating from a university course, includes research and development in the field of computational stochastic analysis and optimization. It is intended for advanced students in engineering and for professionals who wish to extend their knowledge and skills in computational mechanics to the domain of stochastics. Contents: Introduction, Randomness, Structural analysis by Taylor series expansion, Design optimization, Robustness, Monte Carlo techniques for system response and design improvement, Reliability, Time variant phenomena, Material deformation processes, Analysis and comparison of data sets, Probability distribution of test functions.

Author : Karan S. Surana,J. N. Reddy
Publisher : CRC Press
Page : 747 pages
File Size : 41,9 Mb
Release : 2017-10-17
Category : Science
ISBN : 9781351269988

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The Finite Element Method for Initial Value Problems by Karan S. Surana,J. N. Reddy Pdf

Unlike most finite element books that cover time dependent processes (IVPs) in a cursory manner, The Finite Element Method for Initial Value Problems: Mathematics and Computations focuses on the mathematical details as well as applications of space-time coupled and space-time decoupled finite element methods for IVPs. Space-time operator classification, space-time methods of approximation, and space-time calculus of variations are used to establish unconditional stability of space-time methods during the evolution. Space-time decoupled methods are also presented with the same rigor. Stability of space-time decoupled methods, time integration of ODEs including the finite element method in time are presented in detail with applications. Modal basis, normal mode synthesis techniques, error estimation, and a posteriori error computations for space-time coupled as well as space-time decoupled methods are presented. This book is aimed at a second-semester graduate level course in FEM.