Synthesis Of Trusses Using The MINLP
Optimization Approach
Author(s)
S. Šilih & S. Kravanja
Abstract
This paper presents the synthesis of trusses using Mixed-Integer Non-Linear
Programming (MINLP). The discrete/continuous non-convex and non-linear
optimization problems are solved by the Modified OA/ER algorithm. The
Hiearchical superelement approach (HSA) is introduced for the discrete topology
optimization of trusses in order to reduce the number of topology alternatives.
For the solution of truss synthesis problems, which include a high number of
discrete/binary variables, we applied multilevel MINLP strategies. The
Sequential Two-Phase (STP) strategy was developed for topology, shape and
standard dimension optimization of trusses. A numerical example at the end of
the paper shows the suitability of the proposed approach.
1 Introduction
The paper presents the Mixed-Integer Non-Linear Programming (MINLP)
optimization approach to the synthesis of trusses. The solution of
discrete/continuous and non-linear optimization problems is discussed with
respect to the simultaneous topology, shape and standard dimension optimization
of trusses.
In the context of truss synthesis, the discrete optimization problems can be
divided into two main spheres of activity. The first one is topology optimization
with the object of obtaining the optimal number and configuration of structural
elements (bars), while the second one is a discrete dimension optimization
problem, where cross-sections of elements are forced to have discrete, in many
cases standard dimensions. A wide range of different optimization techniques
has been employed in order to solve the topology optimization problem of
trusses, e.g. Genetic Algorithm (GA) [1], [2], the GA linked with Non-Linear
Keywords
Related Book
Other papers in this volume
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