Design of developable surface via CSA-based modification of boundary curves

Abstract

In this paper, we present a new method for generating high-accuracy developable surface from two design curves via crow search algorithm (CSA) based modification of design curves. For achieving high-accuracy developability, we allow perturbation of the control points of design curves within a allowed bound to expand the solution space of developable surfaces, and search within the allowed perturbation bound for the set of optimal control points with which the resultant surface has the highest degree of developability via CSA. As a result, design curves are automatically and intelligently modified when that is necessary for achieving a high-accuracy developability. Modeling examples demonstrate that the method is effective and easy to implement to obtain high-accuracy developables.

Keywords

• developable surface
• shape optimization
• b-spline curve
• metaheuristic algorithm
• csa