### Abstract

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

Journal | Structural and Multidisciplinary Optimization |

Volume | 60 |

Issue number | 4 |

Pages (from-to) | 1605-1618 |

Number of pages | 14 |

ISSN | 1615-147X |

DOIs | |

Publication status | Published - 2019 |

### Keywords

- Fail-safe optimal design
- Minimum compliance
- Second-order cone programming
- Semidefinite programming
- Truss topology optimization

### Cite this

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*Structural and Multidisciplinary Optimization*, vol. 60, no. 4, pp. 1605-1618. https://doi.org/10.1007/s00158-019-02295-7

**Fail-safe truss topology optimization.** / Stolpe, Mathias.

Research output: Contribution to journal › Journal article › Research › peer-review

TY - JOUR

T1 - Fail-safe truss topology optimization

AU - Stolpe, Mathias

PY - 2019

Y1 - 2019

N2 - The classical minimum compliance problem for truss topology optimization is generalized to accommodate for fail-safe requirements. Failure is modeled as either a complete damage of some predefined number of members or by degradation of the member areas. The considered problem is modeled as convex conic optimization problems by enumerating all possible damage scenarios. This results in problems with a generally large number of variables and constraints. A working-set algorithm based on solving a sequence of convex relaxations is proposed. The relaxations are obtained by temporarily removing most of the complicating constraints. Some of the violated constraints are re-introduced, the relaxation is resolved, and the process is repeated. The problems and the associated algorithm are applied to optimal design of two-dimensional truss structures revealing several properties of both the algorithm and the optimal designs. The working-set approach requires only a few relaxations to be solved for the considered examples. The numerical results indicate that the optimal topology can change significantly even if the damage is not severe.

AB - The classical minimum compliance problem for truss topology optimization is generalized to accommodate for fail-safe requirements. Failure is modeled as either a complete damage of some predefined number of members or by degradation of the member areas. The considered problem is modeled as convex conic optimization problems by enumerating all possible damage scenarios. This results in problems with a generally large number of variables and constraints. A working-set algorithm based on solving a sequence of convex relaxations is proposed. The relaxations are obtained by temporarily removing most of the complicating constraints. Some of the violated constraints are re-introduced, the relaxation is resolved, and the process is repeated. The problems and the associated algorithm are applied to optimal design of two-dimensional truss structures revealing several properties of both the algorithm and the optimal designs. The working-set approach requires only a few relaxations to be solved for the considered examples. The numerical results indicate that the optimal topology can change significantly even if the damage is not severe.

KW - Fail-safe optimal design

KW - Minimum compliance

KW - Second-order cone programming

KW - Semidefinite programming

KW - Truss topology optimization

U2 - 10.1007/s00158-019-02295-7

DO - 10.1007/s00158-019-02295-7

M3 - Journal article

VL - 60

SP - 1605

EP - 1618

JO - Structural and Multidisciplinary Optimization

JF - Structural and Multidisciplinary Optimization

SN - 1615-147X

IS - 4

ER -