Multi-objective shape optimization of developable Bézier-like surfaces using non-dominated sorting genetic algorithm

Author:

Lu Jing,Su XiaoBo,Zhong Jingyu,Hu GangORCID

Abstract

The shape optimization design of the developable surface is an important research topic in CAD/CAM, and it is widely used in engineering manufacturing. In this paper, NSGA-II (the elitist non-dominated sorting genetic algorithm) is used to study the multi-objective shape optimization problem of generalized cubic developable Bézier-like surfaces (GCDBLS, for short) to promote the application of GCDBLS in industrial software and engineering design. Firstly, the shape optimization of developable surfaces is transformed into the shape optimization of dyadic curves based on the point-to-plane duality theory. Secondly, a multi-objective shape parameter optimization model is developed based on three surface optimality criteria (the shortest arc length, the smallest energy, and the smallest curvature change rate of the dual curve). Finally, the results of shape parameter optimization of GCDBLS obtained by NSGA-II are compared with MSSA and MOGOA to verify the feasibility and superiority of NSGA-II in solving multi-objective shape optimization problems for developable surfaces and the flexibility of GCDBLS in the construction of developable surfaces.

Funder

National Natural Science Foundation of China

Publisher

EDP Sciences

Subject

Industrial and Manufacturing Engineering,Mechanical Engineering,General Materials Science

Reference40 articles.

1. Frey W.H., Bindschadler D., Computer Aided Design of a Class of Developable Bézier Surfaces, General Motors R & D Publication 8057 Springer Verlag, New York, USA, 1993

2. Computer-aided treatment of developable surfaces

3. Design and Tessellation of B-Spline Developable Surfaces

4. A simple algorithm for designing developable Bézier surfaces

5. A new algorithm for designing developable Bézier surfaces

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3