Abstract
Biological load carriers always grow into a shape whereby a constant stress can be found everywhere along the surface of the biological component for the most significant natural loading applied. This avoids local stress peaks and therefore pre-defined failure points in the design. This mechanism of adaptive growth is copied by the so called CAO-method (Computer Aided Optimization). The method is briefly described and the shape optimization of a tree fork illustrates the adaptive growth. Furthermore a rubber bearing, a bending bar with rectangular window as well as a joint of metal sheets are shape-optimized as engineering examples. In cases where the design proposal which the CAO-method starts from cannot be guessed easily, an oversized rough proposal can be analysed by FEM. After cutting off unloaded parts, the remaining structure can then be used as a starting design for CAO.
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References
K. Metzger Der Wind als maßgeblicher Faktor für das Wachstum der Bäume Mündener Forstliche Hefte, Springerverlag 1893 (in German)
C. Mattheck Why they grow how they grow–the mechanics of trees Arboricultural Journal 14 (1990) 1–17
C. Mattheck, G. Korseska Woundhealing in a plane (Platanus Acerifolia (Ait.) Willd.) an experimental proof of its mechanical stimulation Arboricultural Journal 13 (1989) 211–218
C. Mattheck, H. Huber-Betzer, K. Keile Die Kerbspannungen am Astloch als Stimulanz der Wundheilung bei Bäumen Allg. Forst-und Jagdzeitung 161 (1990) 47–53 (in German)
C. Mattheck Engineering components grow like trees Materialwissenschaft und Werkstofftechnik 21 (1990) 143–168
C. Mattheck, S. Burkhardt A new method of structural shape optimization based on biological growth Int. J. of Fatigue 12 No 3 (1990) 185–190
C. Mattheck, H. Moldenhauer An intelligent CAD-method based on biological growth Fatigue Fract. Engng. Mater. Struct. 13 (1990) 41–51
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© 1991 Springer-Verlag Berlin, Heidelberg
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Mattheck, C., Burkhardt, S., Erb, D. (1991). Shape Optimization of Engineering Components by Adaptive Biological Growth. In: Eschenauer, H.A., Mattheck, C., Olhoff, N. (eds) Engineering Optimization in Design Processes. Lecture Notes in Engineering, vol 63. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84397-6_2
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DOI: https://doi.org/10.1007/978-3-642-84397-6_2
Publisher Name: Springer, Berlin, Heidelberg
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