TOPOLOGY OPTIMIZATION IN CASE OF VARIABLE SUPPORT COST

Abstract

Optimal design with thousands of variables is a great challenge in engineering calculations. In this paper a solution technique is introduced for the topology optimization of elastic disks under single parametric static loading and variable support conditions. Different boundary conditions (elastic and fix supports) with their cost and thousands of design variables are applied. Due to a simple mesh construction technique the checker-board pattern is avoided. The Michell-type problem is investigated minimizing the modified weight of the structure subjected to a compliance condition. The numerical procedure is based on iterative formula which is formed by the use of the first order optimality condition of the Lagrangian function.