A Study on Optimum Topology Using Coordinate Transformation by Interpolation Function

摘要

This paper presents a design method to determine the optimum topology of the 2-D elastic plane structures in static problems by making use of coordinate transformation. We suppose a basic structure with a simple geometry. Then we apply the finite element analysis and calculate optimum thicknesses of the finite elements to minimize objective function of the elastic strain energy. We use then a coordinate transformation by interpolation function with remaining the obtained optimum thicknesses and to have an approximated optimum topology for the structure with an arbitrary shape.