등기하해석법을 적용한 평면구조물의 위상최적화

Abstract

In this paper, the isogeometric topology optimization (TO) technique is presented for plane structures. Isogeometric concept uses the same NURBS basis functions for both the computer-aided geometric design (CAGD) representation and the field functions. Therefore, the exact geometric models are naturally used in TO process. In addition, the NURBS basis functions are consistently used as the material distribution functions. Since the point-wise design variables are adopted, the proposed TO technique is completely free from checker boarding phenomenon without additional constraints or a filtering technique. The validity and applicability of the presented TO technique are demonstrated by solving TO problems for plane structures and we also investigate the effect of isogeometric analysis parameters to the optimum topology.