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A dimension reduction procedure for the design of lattice-spring systems with minimal fabrication cost and required multi-functional properties (2501.05430v1)

Published 9 Jan 2025 in math.OC

Abstract: 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.

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