Structural Reliability: Statistical Learning Perspectives: 17 (Lecture Notes in Applied and Computational Mechanics, 17) - Hardcover

Hurtado, Jorge Eduardo

Hardcover

ISBN 10: 3540219633 ISBN 13: 9783540219637

Publisher: Springer, 2004

Synopsis

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.

About this title

Review:

From the reviews:

"The methods presented and exemplified in the book are what in the statistical world would be called nonlinear and nonparametric regression or pattern recognition techniques ... . The book is written from an algorithmic perspective ... . the book is a valuable overview of problems and techniques used in structural safety analysis." (Georg Lindgren, Mathematical Reviews, Issue 2006 h)

From the Back Cover:

This monograph presents an original approach to Structural Reliability from the perspective of Statistical Learning Theory. It proposes new methods for solving the reliability problem utilizing the recent developments in Computational Learning Theory, such as Neural Networks and Support Vector machines. It also demonstrates important issues on the management of samples in Monte Carlo simulation for structural reliability analysis purposes and examines the treatment of the structural reliability problem as a pattern recognition or classification task. This carefully written monograph is aiming at researchers and students in civil and mechanical engineering, especially in reliability engineering, structural analysis, or statistical learning.

About this edition

• Publisher: Springer
• Publication date: 2004
• ISBN 10: 3540219633
• ISBN 13: 9783540219637
• Binding: Hardcover
• Number of pages: 271