Parametric optimization of composite structures: Application to alpine skis

Abstract

This paper describes the implementation of a parametric optimization process in the field of composite structure design. The application concerns alpine skis. Using a reference ski, the process enables the calculation of the optimum shapes for a complete range of skis and checks their behaviour on snow. The objective function is formulated as a least-squares problem involving nine static bending flexibilities of the ski, considered as a simply-supported beam on nine predetermined spans. The composite cross-section properties and the longitudinal profile of the structure are taken into account in a parametric geometry approach. After the homogenization process, integration of the bending equation is carried out using a finite difference approach. The line search procedure uses the gradient method and the descent parameter optimization is carried out using an adapted linear approximation. The discussion of the results highlights the satisfying compromise between precision and calculation time. The procedure constitutes an original implementation of numerical methods in the area of sports equipment. © 1997 by John Wiley & Sons, Ltd.