The Need For Numerical Techniques For
The Optimization Of Structures Using
Morphological Indicators
Author(s)
B. Verbeeck, J. Van Steirteghem, W. P. De Wilde
& Ph. Samyn
Abstract
The theory of Morphological Indicators (MI) has been successfully used to
optimize a range of structures analytically for a chosen criterion [1]. These
structures are mainly statically determined and subjected to simple load cases.
When considering more complex structural systems and/or load cases, analytical
techniques are inadequate and therefore numerical techniques must be used. In
this paper a short general introduction of the MI is given and the current results
are presented. The bottlenecks of analytical technique are discussed as more
complex (hybrid) structures and load cases are considered. It is demonstrated
how semi-numerical and numerical techniques can be combined with the MI to
enable the optimization of these complex load cases and structures in the early
design stages. Finally some examples are presented.
1 Introduction
The Morphological Indicators (MI) are design tools developed by Samyn [1]
allowing the optimization of structures for a chosen criterion (volume, stiffness)
at an early design stage using a limited number of parameters. The Indicator of
Volume, W, allows the comparison of the volume of material used of different
structural systems designed to transmit the same load. The Displacement
Indicator, D, compares the stiffness of different structural systems. The analytical
expressions of both W and D have been established for trusses, beams, arches,
cables, cable stayed structures, masts and frames subjected to a limited number
Keywords
Related Book
Other papers in this volume
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