THREE‐DIMENSIONAL SHAPE OPTIMIZATION OF A BAR WITH A RECTANGULAR HOLE

C. Mattheck, D. Erb, K. Bethge, U. Begemann

Fatigue & Fracture of Engineering Materials & Structures · 1992 · 21 citations · 3 references

Concepts

Abstract

Abstract— A cylindrical bar subjected to bending has a rectangular hole for functional reasons. The initial design failed occasionally due to fatigue cracks originating at the corners of the hole under service conditions. Therefore, a shape optimization was performed using CAO (computer‐aided optimization) based on the computer‐simulation of biological growth. A significant reduction of large notch stresses was achieved. Prototypes manufactured with the shape‐optimized design endured 40 times longer in a fatigue test than the previous design. The example demonstrates that the CAO method is a very powerful and straightforward method for the designer who wants a light‐weight and fatigue‐resistant design.

References

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