Reliability in Computational Mechanics PDF Download
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Author: John Tinsley Oden
Publisher: North Holland
ISBN:
Category : Computers
Languages : en
Pages : 410
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Book Description
Much of what engineers and scientists do is modeling natural phenomena, by developing mathematical models of nature they can study and predict the behaviour of physical systems. The remarkable advances in technology over the last half century attest to the success of this approach. However, there has been growing concern about the issue of reliability in computational modeling in recent years. The success of computational modeling in certain classes of linear problems may have lulled many into a false sense of confidence in computed results. The papers in this volume discuss topics such as: Exactly how reliable are contemporary computational modeling procedures? How can this reliability be assessed? What factors affect it? How can reliability be improved? What direction must future research in computational modeling take to increase reliability of the more sophisticated models needed to simulate phenomena of importance in engineering? The work covers the application of existing methods to issues of reliability as well as studies of new methods that touch upon or depend upon the reliability of computational techniques in mechanics.
Author: John Tinsley Oden
Publisher: North Holland
ISBN:
Category : Computers
Languages : en
Pages : 410
Get Book Here
Book Description
Much of what engineers and scientists do is modeling natural phenomena, by developing mathematical models of nature they can study and predict the behaviour of physical systems. The remarkable advances in technology over the last half century attest to the success of this approach. However, there has been growing concern about the issue of reliability in computational modeling in recent years. The success of computational modeling in certain classes of linear problems may have lulled many into a false sense of confidence in computed results. The papers in this volume discuss topics such as: Exactly how reliable are contemporary computational modeling procedures? How can this reliability be assessed? What factors affect it? How can reliability be improved? What direction must future research in computational modeling take to increase reliability of the more sophisticated models needed to simulate phenomena of importance in engineering? The work covers the application of existing methods to issues of reliability as well as studies of new methods that touch upon or depend upon the reliability of computational techniques in mechanics.
Author: Workshop on reliability in computational mechanics
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: L Demkowicz
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Wing Kam Liu
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 634
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Book Description
Author: J. Tinsley Oden
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Jorge Eduardo Hurtado
Publisher: Springer Science & Business Media
ISBN: 3540409874
Category : Technology & Engineering
Languages : en
Pages : 267
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Book Description
The last decades have witnessed the development of methods for solving struc tural reliability problems, which emerged from the efforts of numerous re searchers all over the world. For the specific and most common problem of determining the probability of failure of a structural system in which the limit state function g( x) = 0 is only implicitly known, the proposed methods can be grouped into two main categories: • Methods based on the Taylor expansion of the performance function g(x) about the most likely failure point (the design point), which is determined in the solution process. These methods are known as FORM and SORM (First- and Second Order Reliability Methods, respectively). • Monte Carlo methods, which require repeated calls of the numerical (nor mally finite element) solver of the structural model using a random real ization of the basic variable set x each time. In the first category of methods only SORM can be considered of a wide applicability. However, it requires the knowledge of the first and second deriva tives of the performance function, whose calculation in several dimensions either implies a high computational effort when faced with finite difference techniques or special programs when using perturbation techniques, which nevertheless require the use of large matrices in their computations. In or der to simplify this task, use has been proposed of techniques that can be regarded as variants of the Response Surface Method.
Author: L. Demkowicz
Publisher:
ISBN:
Category : Computer-aided engineering
Languages : en
Pages : 491
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 536
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Book Description
Much of what engineers and scientists do is to model natural phenomena. They develop mathematical models of nature so as to study and predict the behavior of physical systems. The remarkable advances in technology over the last half century attest to the success of this approach. Mathematical models do indeed work. Their use represents a proven approach toward scientific discovery and engineering analyses and design, and one can safely predict that the confidence in results of mathematical modeling will grow as further proof and experience accumulates as to their utility and their reliability. Indeed, it is this latter quality, reliability, that emerges as the key to further progress in computational mechanics. There has been growing concern about the issue of reliability in computational modeling in recent years. The papers presented at the Workshop fell into four broad categories: (1) Mathematical modeling; (2) A priori analysis, including principles of convergence, robustness and their reliability; (3) A posteriori analysis, including adaptive methods; and (4) Computer aspects of modeling such as mesh generation, solid modeling and their reliability. In addition, papers on parallel computing, applications to practical problems, selection of benchmark problems for code verification, and related issues were discussed. The majority of the paper focused on finite element methods and their applications, but a number of papers also dealt with boundary element methods, finite difference methods, and spectral methods as well.
Author: Wing Kam Liu
Publisher:
ISBN:
Category : Probabilistic automata
Languages : en
Pages : 622
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Book Description
Author: Xiaobin Le
Publisher: Morgan & Claypool Publishers
ISBN: 1681736608
Category : Technology & Engineering
Languages : en
Pages : 265
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Book Description
A component will not be reliable unless it is designed with required reliability. Reliability-Based Mechanical Design uses the reliability to link all design parameters of a component together to form a limit state function for mechanical design. This design methodology uses the reliability to replace the factor of safety as a measure of the safe status of a component. The goal of this methodology is to design a mechanical component with required reliability and at the same time, quantitatively indicates the failure percentage of the component. Reliability-Based Mechanical Design consists of two separate books: Volume 1: Component under Static Load, and Volume 2: Component under Cyclic Load and Dimension Design with Required Reliability. This book is Reliability-Based Mechanical Design, Volume 1: Component under Static Load. It begins with a brief discussion on the engineering design process and the fundamental reliability mathematics. Then, the book presents several computational methods for calculating the reliability of a component under loads when its limit state function is established. Finally, the book presents how to establish the limit state functions of a component under static load and furthermore how to calculate the reliability of typical components under simple typical static load and combined static loads. Now, we do know the reliability of a component under static load and can quantitively specify the failure percentage of a component under static load. The book presents many examples for each topic and provides a wide selection of exercise problems at the end of each chapter. This book is written as a textbook for junior mechanical engineering students after they study the course of Mechanics of Materials. This book is also a good reference book for design engineers and presents design check methods in such sufficient detail that those methods are readily used in the design check of a component under static load.
