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Structural Reliability - Statistical Learning Perspectives (Hardcover, 2004 ed.)
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Structural Reliability - Statistical Learning Perspectives (Hardcover, 2004 ed.)
Series: Lecture Notes in Applied and Computational Mechanics, 17
Expected to ship within 12 - 17 working days
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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.
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