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Exact Michell layouts for various combinations of line supports — Part II

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Abstract

In this paper, a systematic exploration of Michell layouts for various combinations of line supports is continued. The solutions discussed include those for reentrant corners, a line support and two free edges, line supports forming any convex polygon, supports consisting of two symmetric curves, and finally, rectangular domains bounded by one line support and three free edges.

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Authors and Affiliations

  1. FB 10, Essen University, Postfach 10 37 64, D-45117, Essen, Germany

    G. I. N. Rozvany, W. Gollub & M. Zhou

Authors
  1. G. I. N. Rozvany
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  2. W. Gollub
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  3. M. Zhou
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Additional information

The material presented in this paper was completed in 1991 but, owing to more urgent research and organizational activities, it was put aside until recently. Due to the relevance of the results to much current work in topology optimization, it was decided to prepare the final text, incorporating the referees' suggestions.

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Rozvany, G.I.N., Gollub, W. & Zhou, M. Exact Michell layouts for various combinations of line supports — Part II. Structural Optimization 14, 138–149 (1997). https://doi.org/10.1007/BF01812516

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  • DOI: https://doi.org/10.1007/BF01812516

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