Advertisement

Shape Optimization of Engineering Components by Adaptive Biological Growth

  • C. Mattheck
  • S. Burkhardt
  • D. Erb
Part of the Lecture Notes in Engineering book series (LNENG, volume 63)

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.

Keywords

Shape Optimization Rectangular Window Notch Stress Rubber Bearing Biological Growth 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    K. Metzger Der Wind als maßgeblicher Faktor für das Wachstum der Bäume Mündener Forstliche Hefte, Springerverlag 1893 (in German)Google Scholar
  2. [2]
    C. Mattheck Why they grow how they grow–the mechanics of trees Arboricultural Journal 14 (1990) 1–17Google Scholar
  3. [3]
    C. Mattheck, G. Korseska Woundhealing in a plane (Platanus Acerifolia (Ait.) Willd.) an experimental proof of its mechanical stimulation Arboricultural Journal 13 (1989) 211–218Google Scholar
  4. [4]
    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)Google Scholar
  5. [5]
    C. Mattheck Engineering components grow like trees Materialwissenschaft und Werkstofftechnik 21 (1990) 143–168CrossRefGoogle Scholar
  6. [6]
    C. Mattheck, S. Burkhardt A new method of structural shape optimization based on biological growth Int. J. of Fatigue 12 No 3 (1990) 185–190CrossRefGoogle Scholar
  7. [7]
    C. Mattheck, H. Moldenhauer An intelligent CAD-method based on biological growth Fatigue Fract. Engng. Mater. Struct. 13 (1990) 41–51CrossRefGoogle Scholar
  8. [8]
    POLYPHEM: Information brochure by Science Computing GmbH at the Institute for Theoretical Astrophysics, University of Tübingen, FRGGoogle Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1991

Authors and Affiliations

  • C. Mattheck
    • 1
  • S. Burkhardt
    • 1
  • D. Erb
    • 1
  1. 1.Institute for Material and Solid State Research IVNuclear Research Center Karlsruhe GmbHKarlsruheWest Germany

Personalised recommendations