A dimension reduction procedure for the design of lattice-spring systems with minimal fabrication cost and required multi-functional properties
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913642809655296 |
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| author | Makarenkov, Egor Malhotra, Sakshi Jiao, Yang |
| author_facet | Makarenkov, Egor Malhotra, Sakshi Jiao, Yang |
| contents | We show that the problem of the design of the lattices of elastoplastic current conducting springs with optimal multi-functional properties leads to an analytically tractable problem. Specifically, focusing on a lattice with a small number of springs, we use the technique of inequalities to reduce the number variables and to compute the minimal cost of lattice fabrication explicitly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05430 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A dimension reduction procedure for the design of lattice-spring systems with minimal fabrication cost and required multi-functional properties Makarenkov, Egor Malhotra, Sakshi Jiao, Yang Optimization and Control 26D05, 49Q10, 70K42 We show that the problem of the design of the lattices of elastoplastic current conducting springs with optimal multi-functional properties leads to an analytically tractable problem. Specifically, focusing on a lattice with a small number of springs, we use the technique of inequalities to reduce the number variables and to compute the minimal cost of lattice fabrication explicitly. |
| title | A dimension reduction procedure for the design of lattice-spring systems with minimal fabrication cost and required multi-functional properties |
| topic | Optimization and Control 26D05, 49Q10, 70K42 |
| url | https://arxiv.org/abs/2501.05430 |