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Author: John Tinsley Oden Publisher: North Holland ISBN: Category : Computers Languages : en Pages : 410
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
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: Jorge Eduardo Hurtado Publisher: Springer Science & Business Media ISBN: 3540409874 Category : Technology & Engineering Languages : en Pages : 267
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: Publisher: ISBN: Category : Languages : en Pages : 536
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: National Research Council Publisher: National Academies Press ISBN: 0309046483 Category : Technology & Engineering Languages : en Pages : 145
Book Description
Computational mechanics is a scientific discipline that marries physics, computers, and mathematics to emulate natural physical phenomena. It is a technology that allows scientists to study and predict the performance of various productsâ€"important for research and development in the industrialized world. This book describes current trends and future research directions in computational mechanics in areas where gaps exist in current knowledge and where major advances are crucial to continued technological developments in the United States.
Author: John Tinsley Oden
Author: John Tinsley Oden
Author: Workshop on reliability in computational mechanics
Author: L Demkowicz
Author: Wing Kam Liu
Author: J. Tinsley Oden
Author: Jorge Eduardo Hurtado
Author: L. Demkowicz
Author: 
Author: National Research Council
Author: Wing Kam Liu