Optimal Shape Finding of Arch Structures

Abstract

"This study proposes a shape finding method for arch structure. It aims to provide a general procedure for finding the optimal shape of arch structures using the optimization technique. All the process is utilized by using the visual programming technique. The NURBS (Non-Uniform Rational B-spline) definition is introduced to represent the geometry of the arch structure. The strain energy of the arch structure is evaluated by using the plug-in Karamba3D in Grasshopper environment. The shape optimization with the strain energy to be minimized and height constraint is then performed by using the plug-in NM-opti. Numerical examples are carried out to verify the capability of the present shape finding method and to find the optimum shape of the arch in various situations. From numerical examples, the present shape finding method can effectively produce a new optimum shape of the arch regardless of natural and essential boundary conditions. ? 2022 Architectural Institute of Korea.