Abstract
This brief note presents some observations about the modelling of stress constraints in fail-safe structural optimization considering local degradation of member properties. An analytical study of a three-bar example demonstrates the impact of the constraint modelling choices on the optimal design. One notable finding is that degradation of one arbitrary member may cause a worse objective function than complete removal of the member. The observation is similar to the singular optimum issue in topology optimization with stress constraints, but applies also to sizing problems. This deserves special attention and should be considered when modelling fail-safe structural optimization with stress constraints.
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Acknowledgements
We thank our colleague Nicolo Pollini for fruitful discussions on fail-safe design in general and his insightful suggestions on how to improve this manuscript.
Funding
This work was supported by the Independent Research Fund Denmark under grant number 7017-00084A: Fail-Safe Structural Optimization (SELMA).
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The model descriptions and parameters and the key analytical results are described in the note. Detailed models and analytical results are provided in the supplementary material.
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Dou, S., Stolpe, M. On stress-constrained fail-safe structural optimization considering partial damage. Struct Multidisc Optim 63, 929–933 (2021). https://doi.org/10.1007/s00158-020-02782-2
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DOI: https://doi.org/10.1007/s00158-020-02782-2