Optimal Yacht Rig Design using Mathematical Programming.
Jarrad Wallace
Abstract
Traditional rig design methodologies are often based on empirical “rules-of-
thumb” that frequently result in a rig that is over built and excessively
heavy, which is due primarily to the coarse approximations made in calculating
member loads and subsequent large factors of safety required to avoid
mechanical failure. This paper investigates the feasibility of using
mathematical models in improving the rig design process, and applying
optimisation techniques to minimise the weight of the structure. It presents a
new method of quickly and efficiently evaluating rig loads and deflections
under multiple loading conditions, incorporating complementarity constraints to
handle tension-only members. This is then extended to investigate the non-
linear optimisation of member properties and rig geometry in attempting to
achieve minimum rig weight, as a direct method of improving yacht performance.