Reliability Calculations With The Stochastic Finite Element

Author : Wenhui Mo
Publisher : Bentham Science Publishers
Page : 117 pages
File Size : 46,8 Mb
Release : 2020-12-01
Category : Science
ISBN : 9789811485510

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Reliability Calculations with the Stochastic Finite Element by Wenhui Mo Pdf

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.

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 : Vissarion Papadopoulos,Dimitris G. Giovanis
Publisher : Springer
Page : 138 pages
File Size : 44,9 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 : Wenhui Mo
Publisher : Bentham Science Publishers
Page : 178 pages
File Size : 45,7 Mb
Release : 2022-08-31
Category : Science
ISBN : 9789815079074

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Uncertain Analysis in Finite Elements Models by Wenhui Mo Pdf

This book explains uncertainty analysis for finite elements and general nonlinear problems. It starts with the fundamentals of the topic and progresses to complex methods through 9 chapters. Each chapter focuses on a specific, relevant topic and provides information in a structured reading format for advanced learners. The author explains different models relevant to the topic where applicable, in an effort to cover the diverse aspects of mathematical analysis. Topics covered in the book include: - Nonlinear stochastic finite element methods - Reliability calculations - Static analysis of interval finite element - Linear and nonlinear vibration analysis - Stochastic, random, fuzzy and mixed fields - Mixed finite element analysis Uncertainty Analysis in Finite Elements Models is an ideal reference for advanced courses in mathematical analysis and engineering that require students to understand the basics of uncertainty analysis and basic reliability calculations.

Author : Sankaran Mahadevan
Publisher : Unknown
Page : 518 pages
File Size : 47,5 Mb
Release : 1988
Category : Engineering design
ISBN : OCLC:19187164

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Stochastic Finite Element Based Structural Reliability Analysis and Optimization by Sankaran Mahadevan Pdf

Author : Ivo Babuška,Theofanis Strouboulis
Publisher : Oxford University Press
Page : 820 pages
File Size : 41,8 Mb
Release : 2001
Category : Mathematics
ISBN : 0198502761

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The Finite Element Method and Its Reliability by Ivo Babuška,Theofanis Strouboulis Pdf

The finite element method is a numerical method widely used in engineering. Experience shows that unreliable computation can lead to very serious consequences. Hence reliability questions stand are at the forefront of engineering and theoretical interests. This book presents the mathematical theory of the finite element method and is the first to focus on the questions of how reliable computed results really are. It addresses among other topics the local behaviour, errors caused by pollution, superconvergence, and optimal meshes. Many computational examples illustrate the importance of the theoretical conclusions for practical computations. Graduate students, lecturers, and researchers in mathematics, engineering, and scientific computation will benefit from the clear structure of the book, and will find this a very useful reference.

Author : Seung-Kyum Choi,Ramana Grandhi,Robert A. Canfield
Publisher : Springer Science & Business Media
Page : 306 pages
File Size : 52,8 Mb
Release : 2006-11-15
Category : Technology & Engineering
ISBN : 9781846284458

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Reliability-based Structural Design by Seung-Kyum Choi,Ramana Grandhi,Robert A. Canfield Pdf

This book provides readers with an understanding of the fundamentals and applications of structural reliability, stochastic finite element method, reliability analysis via stochastic expansion, and optimization under uncertainty. It examines the use of stochastic expansions, including polynomial chaos expansion and Karhunen-Loeve expansion for the reliability analysis of practical engineering problems.

Author : A. Der Kiureghian,P. Thoft-Christensen
Publisher : Springer Science & Business Media
Page : 399 pages
File Size : 47,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642843624

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Reliability and Optimization of Structural Systems ’90 by A. Der Kiureghian,P. Thoft-Christensen Pdf

This proceedings volume contains papers presented at the Third Scientific Meeting of the IFIP Working Group on "Reliabilty and Optimization of Structural Systems". The contributions reflect recent developments in the field of modern structural systems optimization and reliability theory and point out directions for further research. Also perspectives for the education in this field were discussed.

Author : Roger G. Ghanem,Pol D. Spanos
Publisher : Springer Science & Business Media
Page : 217 pages
File Size : 43,9 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 : Fabio Casciati,Brian Roberts
Publisher : CRC Press
Page : 386 pages
File Size : 42,6 Mb
Release : 1996-07-24
Category : Mathematics
ISBN : 084939631X

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Mathematical Models for Structural Reliability Analysis by Fabio Casciati,Brian Roberts Pdf

Mathematical Models for Structural Reliability Analysis offers mathematical models for describing load and material properties in solving structural engineering problems. Examples are provided, demonstrating how the models are implemented, and the limitations of the models are clearly stated. Analytical solutions are also discussed, and methods are clearly distinguished from models. The authors explain both theoretical models and practical applications in a clear, concise, and readable fashion.

Author : Lirong Cui,Ilia Frenkel,Anatoly Lisnianski
Publisher : CRC Press
Page : 376 pages
File Size : 46,8 Mb
Release : 2020-09-01
Category : Mathematics
ISBN : 9781000094619

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Stochastic Models in Reliability Engineering by Lirong Cui,Ilia Frenkel,Anatoly Lisnianski Pdf

This book is a collective work by many leading scientists, analysts, mathematicians, and engineers who have been working at the front end of reliability science and engineering. The book covers conventional and contemporary topics in reliability science, all of which have seen extended research activities in recent years. The methods presented in this book are real-world examples that demonstrate improvements in essential reliability and availability for industrial equipment such as medical magnetic resonance imaging, power systems, traction drives for a search and rescue helicopter, and air conditioning systems. The book presents real case studies of redundant multi-state air conditioning systems for chemical laboratories and covers assessments of reliability and fault tolerance and availability calculations. Conventional and contemporary topics in reliability engineering are discussed, including degradation, networks, and dynamic reliability, resilience, and multi-state systems, all of which are relatively new topics to the field. The book is aimed at engineers and scientists, as well as postgraduate students involved in reliability design, analysis, and experiments and applied probability and statistics.

Author : Isaac Elishakoff,Yongjian Ren
Publisher : Oxford University Press, USA
Page : 282 pages
File Size : 54,9 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 : Achintya Haldar,Ardéshir Guran,Bilal M Ayyub
Publisher : World Scientific
Page : 436 pages
File Size : 45,8 Mb
Release : 1997-07-04
Category : Computers
ISBN : 9789814497428

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Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems by Achintya Haldar,Ardéshir 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. Contents:Probabilistic Finite Element Analysis of Large Structural Systems (S Mahadevan)Reliability Evaluation of Structures Using Nonlinear SFEM (A Haldar & L-W Gao)Finite Element Method for Stochastic Structures Based on Inverse of Stiffness Matrix (I Elishakoff & Y-J Ren)The Weighted Integral Method and the Variability Response Function as Part of an SFEM Formulation (G Deodatis & L Graham)Response of a Vibrating Structure to Turbulent Wall Pressure: Fluid-Loaded Structure Modes Series and Boundary Element Method (P J T Filippi & D Mazzoni)Reliability-Based Structural Fatigue Damage Evaluation and Maintenance Using Non-Destructive Inspections (Z-W Zhao & A Haldar)Uncertainty Modeling in Structural Stability (B W Yeigh & M Shinozuka)Global Stability Analysis of Nonlinear Dynamical Systems (R Valèry Roy)Dynamic Random Snap-Buckling of Composite Shallow Shells (R Heuer et al.)Buckling Analysis and Design of Imperfection-Sensitive Structures (G V Palassopoulos)Basic Concepts of Fault-Tolerant Computing Design (C Aktouf et al.) Readership: Researchers in systems & knowledge engineering/artificial intelligence, civil, mechanical & electronic engineering, applied physics, applied mathematics, numerical and computing methods. keywords: “This book is a coherent compendium written by leading experts, and offers the reader a sampling of exciting research developments in these areas. It is designed for readers who are familiar with the fundamentals and wish to study a particular topic or use the book as an authoritative reference.” Mathematical Reviews

Author : Wing Kam Liu,Ted Belytschko
Publisher : Unknown
Page : 634 pages
File Size : 40,6 Mb
Release : 1989
Category : Engineering
ISBN : UVA:X004268599

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Computational Mechanics of Probabilistic and Reliability Analysis by Wing Kam Liu,Ted Belytschko Pdf

Author : Iason Papaioannou
Publisher : Sudwestdeutscher Verlag Fur Hochschulschriften AG
Page : 216 pages
File Size : 46,7 Mb
Release : 2013-01
Category : Electronic
ISBN : 3838135415

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Non-Intrusive Finite Element Reliability Analysis by Iason Papaioannou Pdf

In order to motivate the incorporation of reliability concepts in the structural design and analysis procedures, the engineering community is in need of finite element (FE) software with capabilities of including the stochastic nature of input parameters. This book focuses on the modeling of uncertainties in structural systems and on strategies for the reliability assessment of structures analyzed by FE programs. Concepts are introduced for the numerical treatment of spatially varied uncertain quantities through the discretization of the relevant random fields as well as for robust and efficient finite element reliability analysis and updating of the reliability in light of new information. The presented reliability methods are termed non-intrusive, since they can be programmed in a stand alone fashion without requiring access to the core routines of the FE software.