Analysis and Design of Developable Surfaces for Shipbuilding

摘要

Developable surfaces are widely used in manufacturing with materials that are notamenable to stretching. In shipbuilding, developable surfaces are shaped using only rollers or presses. Heat treatment is then used only to remove distortion induced by welding or other means. Doubly curved surfaces, on the other hand, must be heat treated after rolling to induce the additional curvature. The heat treatment is normally done by hand, by a skilled artisan with years of training to achieve the correct amount of bending. The main goal of this research is to develop a user-friendly method of designing developable surfaces with a B-spline representation. The effort is then extended to address some common differential geometry properties that will be useful in the design and manufacturing process. The ultimate goal is to provide a method to design a complete ship hull from developable surfaces and to generate cutting and bending information in a format that is user friendly for both the engineer and the worker.