### Abstract

Prager (1974) demonstrated through an example that the optimal layout of least-weight trusses for a stress constraint - termed also Michell trusses - can be nonunique. The strain field for the above example, however, seems to violate Michell's optimality criteria. It is shown in this note that the above example of nonuniqueness is completely correct if we restrict the truss members to a smaller subset of the plane.

Original language | English |
---|---|

Pages (from-to) | 191-194 |

Number of pages | 4 |

Journal | Structural Optimization |

Volume | 13 |

Issue number | 2-3 |

Publication status | Published - 1997 |

### Fingerprint

### ASJC Scopus subject areas

- Civil and Structural Engineering

### Cite this

*Structural Optimization*,

*13*(2-3), 191-194.

**On the validity of Prager's example of nonunique Michell structures.** / Rozvany, G.

Research output: Contribution to journal › Article

*Structural Optimization*, vol. 13, no. 2-3, pp. 191-194.

}

TY - JOUR

T1 - On the validity of Prager's example of nonunique Michell structures

AU - Rozvany, G.

PY - 1997

Y1 - 1997

N2 - Prager (1974) demonstrated through an example that the optimal layout of least-weight trusses for a stress constraint - termed also Michell trusses - can be nonunique. The strain field for the above example, however, seems to violate Michell's optimality criteria. It is shown in this note that the above example of nonuniqueness is completely correct if we restrict the truss members to a smaller subset of the plane.

AB - Prager (1974) demonstrated through an example that the optimal layout of least-weight trusses for a stress constraint - termed also Michell trusses - can be nonunique. The strain field for the above example, however, seems to violate Michell's optimality criteria. It is shown in this note that the above example of nonuniqueness is completely correct if we restrict the truss members to a smaller subset of the plane.

UR - http://www.scopus.com/inward/record.url?scp=0031117619&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031117619&partnerID=8YFLogxK

M3 - Article

VL - 13

SP - 191

EP - 194

JO - Structural and Multidisciplinary Optimization

JF - Structural and Multidisciplinary Optimization

SN - 1615-147X

IS - 2-3

ER -