Shape optimization of a foundation for a large machine tool

Abstract

This paper shows how the cost of an existing foundation for a large machine can be minimized by optimizing the parameters which define its shape whilst maintaining the required stiffness. The parameters considered include the thickness of the concrete in the machine pit and the platform, the cross-sectional area and the amount of reinforcement in the piles, the number of piles and the spacing between them. The foundation is optimized using two- and three-dimensional models. Both these models have been optimized for different loading conditions and varying stiffnesses.

A non-linear unconstrained optimization technique combined with the finite element method has been used to obtain the optimal designs.