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Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems

Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems PDF Author: Achintya Haldar
Publisher: World Scientific
ISBN: 9814497428
Category : Computers
Languages : en
Pages : 436

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Book Description
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

Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems

Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems PDF Author: Achintya Haldar
Publisher: World Scientific
ISBN: 9814497428
Category : Computers
Languages : en
Pages : 436

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Book Description
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

Uncertainty Assessment of Large Finite Element Systems

Uncertainty Assessment of Large Finite Element Systems PDF Author: Christian A. Schenk
Publisher: Springer Science & Business Media
ISBN: 9783540253433
Category : Technology & Engineering
Languages : en
Pages : 166

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Book Description
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.

Uncertainty Modeling and Analysis in Engineering and the Sciences

Uncertainty Modeling and Analysis in Engineering and the Sciences PDF Author: Bilal M. Ayyub
Publisher: CRC Press
ISBN: 1420011456
Category : Business & Economics
Languages : en
Pages : 400

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Book Description
Engineers and scientists often need to solve complex problems with incomplete information resources, necessitating a proper treatment of uncertainty and a reliance on expert opinions. Uncertainty Modeling and Analysis in Engineering and the Sciences prepares current and future analysts and practitioners to understand the fundamentals of knowledge a

Uncertain Input Data Problems and the Worst Scenario Method

Uncertain Input Data Problems and the Worst Scenario Method PDF Author: Ivan Hlavacek
Publisher: Elsevier
ISBN: 9780080543376
Category : Science
Languages : en
Pages : 484

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Book Description
This book deals with the impact of uncertainty in input data on the outputs of mathematical models. Uncertain inputs as scalars, tensors, functions, or domain boundaries are considered. In practical terms, material parameters or constitutive laws, for instance, are uncertain, and quantities as local temperature, local mechanical stress, or local displacement are monitored. The goal of the worst scenario method is to extremize the quantity over the set of uncertain input data. A general mathematical scheme of the worst scenario method, including approximation by finite element methods, is presented, and then applied to various state problems modeled by differential equations or variational inequalities: nonlinear heat flow, Timoshenko beam vibration and buckling, plate buckling, contact problems in elasticity and thermoelasticity with and without friction, and various models of plastic deformation, to list some of the topics. Dozens of examples, figures, and tables are included. Although the book concentrates on the mathematical aspects of the subject, a substantial part is written in an accessible style and is devoted to various facets of uncertainty in modeling and to the state of the art techniques proposed to deal with uncertain input data. A chapter on sensitivity analysis and on functional and convex analysis is included for the reader's convenience. · Rigorous theory is established for the treatment of uncertainty in modeling · Uncertainty is considered in complex models based on partial differential equations or variational inequalities · Applications to nonlinear and linear problems with uncertain data are presented in detail: quasilinear steady heat flow, buckling of beams and plates, vibration of beams, frictional contact of bodies, several models of plastic deformation, and more · Although emphasis is put on theoretical analysis and approximation techniques, numerical examples are also present · Main ideas and approaches used today to handle uncertainties in modeling are described in an accessible form · Fairly self-contained book

Elicitation of Expert Opinions for Uncertainty and Risks

Elicitation of Expert Opinions for Uncertainty and Risks PDF Author: Bilal M. Ayyub
Publisher: CRC Press
ISBN: 1420040901
Category : Technology & Engineering
Languages : en
Pages : 328

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Book Description
Experts, despite their importance and value, can be double-edged swords. They can make valuable contributions from their deep base of knowledge, but those contributions may also contain their own biases and pet theories. Therefore, selecting experts, eliciting their opinions, and aggregating their opinions must be performed and handled carefully, with full recognition of the uncertainties inherent in those opinions. Elicitation of Expert Opinions for Uncertainty and Risks illuminates those uncertainties and builds a foundation of philosophy, background, methods, and guidelines that helps its readers effectively execute the elicitation process. Based on the first-hand experiences of the author, the book is filled with illustrations, examples, case studies, and applications that demonstrate not only the methods and successes of expert opinion elicitation, but also its pitfalls and failures. Studies show that in the future, analysts, engineers, and scientists will need to solve ever more complex problems and reach decisions with limited resources. This will lead to an increased reliance on the proper treatment of uncertainty and on the use of expert opinions. Elicitation of Expert Opinions for Uncertainty and Risks will help prepare you to better understand knowledge and ignorance, to successfully elicit expert opinions, to select appropriate expressions of those opinions, and to use various methods to model and aggregate opinions.

Durability of Composite Systems

Durability of Composite Systems PDF Author: Kenneth Reifsnider
Publisher: Woodhead Publishing
ISBN: 012818261X
Category : Technology & Engineering
Languages : en
Pages : 464

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Book Description
Durability of Composite Systems meets the challenge of defining these precepts and requirements, from first principles, to applications in a diverse selection of technical fields selected to form a corpus of concepts and methodologies that define the field of durability in composite material systems as a modern discipline. That discipline includes not only the classical rigor of mechanics, physics and chemistry, but also the critical elements of thermodynamics, data analytics, and statistical uncertainty quantification as well as other requirements of the modern subject. This book provides a comprehensive summary of the field, suited to both reference and instructional use. It will be essential reading for academic and industrial researchers, materials scientists and engineers and all those working in the design, analysis and manufacture of composite material systems. Makes essential direct and detailed connections to modern concepts and methodologies, such as machine learning, systems controls, sustainable and resilient systems, and additive manufacturing Provides a careful balance between theory and practice so that presentations of details of methodology and philosophy are always driven by a context of applications and examples Condenses selected information regarding the durability of composite materials in a wide spectrum of applications in the automotive, wind energy, civil engineering, medical devices, electrical systems, aerospace and nuclear fields

Non-Classical Problems in the Theory of Elastic Stability

Non-Classical Problems in the Theory of Elastic Stability PDF Author: Isaac Elishakoff
Publisher: Cambridge University Press
ISBN: 0521782104
Category : Mathematics
Languages : en
Pages : 336

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Book Description
When a structure is put under an increasing compressive load, it becomes unstable and buckling occurs. Buckling is a particularly significant concern in designing shell structures such as aircraft, automobiles, ships, or bridges. This book discusses stability analysis and buckling problems and offers practical tools for dealing with uncertainties that exist in real systems. The techniques are based on two complementary theories which are developed in the text. First, the probabilistic theory of stability is presented, with particular emphasis on reliability. Both theoretical and computational issues are discussed. Secondly, the authors present the alternative to probability based on the notion of 'anti-optimization', a theory that is valid when the necessary information for probabilistic analysis is absent, that is, when only scant data are available. Design engineers, researchers, and graduate students in aerospace, mechanical, marine, and civil engineering who are concerned with issues of structural integrity will find this book a useful reference source.

Reliability Assessment Using Stochastic Finite Element Analysis

Reliability Assessment Using Stochastic Finite Element Analysis PDF Author: Achintya Haldar
Publisher: John Wiley & Sons
ISBN: 9780471369615
Category : Technology & Engineering
Languages : en
Pages : 344

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Book Description
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.

Probability, Statistics, and Reliability for Engineers and Scientists, Second Edition

Probability, Statistics, and Reliability for Engineers and Scientists, Second Edition PDF Author: Bilal M. Ayyub
Publisher: CRC Press
ISBN: 9781584882862
Category : Mathematics
Languages : en
Pages : 656

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Book Description
Virtually every engineer and scientist needs to be able to collect, analyze, interpret, and properly use vast arrays of data. This means acquiring a solid foundation in the methods of data analysis and synthesis. Understanding the theoretical aspects is important, but learning to properly apply the theory to real-world problems is essential. The second edition of this bestselling text introduces probability, statistics, reliability, and risk methods with an ideal balance of theory and applications. Clearly written and firmly focused on the practical use of these methods, it places increased emphasis on simulation, particularly as a modeling tool, applying it progressively with projects that continue in each chapter. It also features expanded discussions of the analysis of variance including single- and two-factor analyses and a thorough treatment of Monte Carlo simulation. The authors clearly establish the limitations, advantages, and disadvantages of each method, but also show that data analysis is a continuum rather than the isolated application of different methods. Probability, Statistics, and Reliability for Engineers and Scientists, Second Edition, was designed as both a reference and as a textbook, and it serves each purpose well. Ultimately, readers will find its content of great value in problem solving and decision making, particularly in practical applications.

Risk Analysis in Engineering and Economics

Risk Analysis in Engineering and Economics PDF Author: Bilal M. Ayyub
Publisher: CRC Press
ISBN: 0203497694
Category : Mathematics
Languages : en
Pages : 600

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Book Description
More than any other book available, Risk Analysis in Engineering and Economics introduces the fundamental concepts, techniques, and applications of the subject in a style tailored to meet the needs of students and practitioners of engineering, science, economics, and finance. Drawing on his extensive experience in uncertainty and risk modeling and analysis, the author leads readers from the fundamental concepts through the theory, applications, and data requirements, sources, and collection. He emphasizes the practical use of the methods presented and carefully examines the limitations, advantages, and disadvantages of each. Case studies that incorporate the techniques discussed offer a practical perspective that helps readers clearly identify and solve problems encountered in practice. If you deal with decision-making under conditions of uncertainty, this book is required reading. The presentation includes more than 300 tables and figures, more than 100 examples, many case studies, and a wealth of end-of-chapter problems. Unlike the classical books on reliability and risk assessment, this book helps you relate underlying concepts to everyday applications and better prepares you to understand and use the methods of risk analysis.