Reliability Based Design Optimization Of
Semi-rigid Steel Frames
Author(s)
M. A. Hadianfard
Abstract
In the conventional methods of structural optimization, the designers reduce the
structural cost or weight without taking into account uncertainties in the
materials, geometry and loading. In this way, the optimum solution may
represent a lower level of reliability and thus a higher risk of failure. However,
the objective of reliability based design optimization (RBDO) is to design
structures that are economic and reliable. In this paper, external loads and
member resistance are assumed to be independent random variables. To identify
critical failure modes, the -unzipping method is used and the probability of
failure of each mode is calculated using the method of reliability analysis of
parallel systems. By combination of the different failure modes as a series
system, the probability of failure of the total structural system is estimated. The
effects of the semi-rigid behavior of the beam-column connections are also
considered in the RBDO problem. The RBDO problem is formulated by the
expected costs or structural weight as the objective function and the reliability of
the system as constraints. This constrained nonlinear optimization problem is
changed in to an unconstrained optimization problem using the method of
interior penalty function. Then, this new problem is solved by an unconstrained
optimization technique. Some numerical examples are presented to demonstrate
the applicability of the proposed methodology. These examples illustrate the
importance of the effect of the semi-rigid behavior of the connections in the
calculation of the minimum weight of the steel frames.
Keywords: reliability, structural optimization, steel frames, semi-rigid
connections, probability of failure.
Keywords
reliability, structural optimization, steel frames, semi-rigid
connections, probability of failure.
Related Book
Other papers in this volume
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