A consideration of multi-objective design optimization for displacement magnifying structure

Abstract

This study considers structural design problem of a displacement magnifying structure (DMS) for a highly precious space smart structure. The design problem is formulated by a multi-objective optimization problem that maximizes displacement magnification ratio and a fundamental eigen frequency and also minimizes the maximum stress in terms of several prescribed dimensions as design variables. During optimization process, the maximum stress value is often shifted discontinuously. Therefore, this problem considers stresses at several stress evaluation points and these stresses are also adopted as objective functions. Through numerical calculations, validity of the proposed formulation is demonstrated. Then, the structural characteristics of the obtained Pareto designs of DMS are discussed.