Optimal Design of Helical Springs of Power Law Materials

TL;DR

This paper presents an optimization method for designing compressive helical springs made of power law materials, minimizing material use while satisfying mechanical constraints, with solutions validated through numerical examples.

Contribution

It introduces a semi-analytical approach to optimize spring dimensions for power law materials, considering both primal and dual problems.

Findings

Optimal spring dimensions reduce material usage.

Solutions are validated through numerical examples.

Method applies across a range of spring indices.

Abstract

In this paper the geometric dimensions of a compressive helical spring made of power law materials are optimized to reduce the amount of material. The mechanical constraints are derived to form the geometric programming problem. Both the prime and the dual problem are examined and solved semi-analytically for a range of spring index. A numerical example is provided to validate the solutions.