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

TL;DR

This paper introduces an analytical method to design lattice spring systems with optimal multi-functional properties, minimizing fabrication costs by reducing variables through inequality techniques.

Contribution

It presents a novel analytical approach for designing elastoplastic lattice springs with minimal cost and specified multi-functional properties, especially for small spring systems.

Findings

Explicit minimal fabrication cost computed for small lattices

Inequality techniques effectively reduce design variables

Design method ensures multi-functionality with cost efficiency

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.