Optimization studies:
patterns, natural structures, iconic buildings
Irmgard Lochner, Biberach University of Applied Sciences, June 2014
study:
evaluation of structural shapes,
"re-design" of structures
Evaluation of structural shapes
Birsbrücke, Liesberg, CH
(Robert Maillart 1935)
Standardized motorway crossing, UK
Motorway crossing, Kirchheim / Teck (D)
(Schlaich Bergermann & Partner 1993)
compliance
value
[Nm]
40,78 x 106
42,93 x 106
41,36 x 106
41,38 x
106
difference
[%]
(ref.)
4
2
2
classical structural
analysis and design
Galileo Galilei, "Discorsi e
dimonstrazioni matematiche".
Leiden, 1638
principles of
lightweight structures
A. G. M. Michell, "The limits of
economy of material in frame-
structures.
Phil. Mag., 1904
"Stop building the way you build!"
Frei Otto's appeal 1977
"Our buildings should disappear decently"
Werner Sobek, interview 2004
study:
evaluation of structural shapes,
parametric patterns
Inspirationsquelle für Nervi laut eigener Aussage: Trajektorien in Kontinua
Examples for parametric geometry studies:
- parametric geometrical study by D'Arcy Wentworth Thompson
- form finding studies with systematic variation of boundary conditions by Frei Otto
- parametric studies of structural optimization
Examples for ornamental patterns in modern
architecture:
- Exhibition stand Gasser Fassadentechnik,
Swissbau 2012
- Suedwestmetall facade,
architects Allmann Wappner Sattler
study / students' project:
"re-design natural structures"
Object of study:
Diatom structures
Structural model: one quarter of a shell (symmetry conditions) under pressure
Optimization formulation: minimize compliance, volumefraction 30 %
Design proposal generated by the optimization algorithm
(with need for interpretation)
Interpretation of the design proposal
Interpretation of the design proposal
Object of study:
skeleton of the sea urchin
Object of study:
skeleton of the sea urchin
Interpretation of the design proposal
Object of study:
Columniform cactus
Structural model: vertical cantilever under horizontal loading
Optimization formulation: minimize compliance, volumefraction 30 %
Design proposal generated by the optimization algorithm
(with need for interpretation)
Interpretation of the design proposal
Recommended
