Standard Dimension Optimization
Of Steel Frames
Author(s)
U. Klanšek & S. Kravanja
Abstract
This paper presents standard optimization of unbraced steel plane frames with
rigid beam-to-column connections. The optimization has been performed by the
Mixed-Integer Non-linear Programming (MINLP) approach. The MINLP
performs a discrete optimization of different standard dimensions, while
continuous parameters are simultaneously calculated inside the continuous space.
As the discrete/continuous optimization problem of steel frames is non-convex
and highly non-linear, the Modified Outer-Approximation/Equality-Relaxation
(OA/ER) algorithm has been used for the optimization.
1 Introduction
The paper deals with standard dimension optimization of unbraced steel plane
frames with rigid beam-to-column connections. The optimization of frames is
performed by the Mixed-Integer Nonlinear Programming, MINLP. The MINLP
is a combined discrete-continuous optimization technique. This way, the MINLP
performs the discrete optimization of standard dimensions (i.e. cross-section
sizes of columns and beams) simultaneously with the continuous optimization of
parameters (e.g. internal forces, deflections, etc.).
The MINLP discrete/continuous optimization problems of frames are in most
cases comprehensive, non-convex and highly non-linear. This optimization
approach is proposed to be performed through three steps. The first one includes
the generation of a mechanical superstructure of different standard dimension
alternatives, the second one involves the development of an MINLP model
formulation and the last one consists of a solution for the defined MINLP
optimization problem.
The Modified Outer-Approximation/Equality-Relaxation algorithm [1], [2]
and [3] is used to perform the optimization. The two-phase MINLP optimization
Keywords
Related Book
Other papers in this volume
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