载荷不确定的周期性结构稳健拓扑优化

doi:10.13700/j.bh.1001-5965.2016.0822

北京航空航天大学学报 ›› 2017, Vol. 43 ›› Issue (4): 747-753.doi: 10.13700/j.bh.1001-5965.2016.0822

载荷不确定的周期性结构稳健拓扑优化

付志方¹, 王春洁^1,2

1. 北京航空航天大学机械工程及自动化学院, 北京 100083;
2. 北京航空航天大学虚拟现实技术与系统国家重点实验室, 北京 100083

收稿日期:2016-10-24 出版日期:2017-04-20 发布日期:2016-12-13
通讯作者: 王春洁,E-mail:wangcj@buaa.edu.cn E-mail:wangcj@buaa.edu.cn
作者简介:付志方男,博士研究生。主要研究方向:结构优化、仿真。;王春洁女,博士,教授,博士生导师。主要研究方向:机械设计,结构优化、仿真,结构动力学。

Robust topology optimization of periodic structures under uncertain loading

FU Zhifang¹, WANG Chunjie^1,2

1. School of Mechanical Engineering and Automation, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
2. State Key Laboratory of Virtual Reality Technology and Systems, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

Received:2016-10-24 Online:2017-04-20 Published:2016-12-13

摘要/Abstract

摘要： 提出了一种考虑周期性几何约束的结构稳健拓扑优化设计方法。针对线弹性体结构，提出了载荷不确定性条件下周期性结构稳健拓扑优化模型；推导了周期性结构柔度均值与方差的敏度数表达式，并基于软删双向渐进结构优化法提出了载荷不确定性条件下的周期性结构稳健拓扑优化设计方法。2个不同约束条件下的实例表明：本文提出的优化模型稳定性较好；考虑载荷不确定性得到的结构与确定性载荷下得到的结构有很大的区别，且稳健性优化设计得到的结构更加稳定。

关键词: 周期性, 稳健性, 拓扑优化, 载荷不确定性, 渐进结构优化法

Abstract: This paper proposes a method of structural robust topology optimization under the periodicity constraint. A robust topology optimization model for periodic structures is proposed for linear elastic structures. Then, the formula of the sensitivity number is developed, and the robust topology optimal design of periodic structure under uncertain loadings is performed using soft-kill bi-directional evolutionary structural optimization method. Two numerical examples under different constraints demonstrate the stability of the proposed method. There are significant differences between the optimal structures under deterministic loads and the optimal structures under uncertain loads, and the robust design is more stable than the deterministic design.

Key words: periodicity, robustness, topology optimization, loading uncertainty, evolutionary structural optimization method

中图分类号:

TH122
O327

付志方, 王春洁. 载荷不确定的周期性结构稳健拓扑优化[J]. 北京航空航天大学学报, 2017, 43(4): 747-753.

FU Zhifang, WANG Chunjie. Robust topology optimization of periodic structures under uncertain loading[J]. JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2017, 43(4): 747-753.

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载荷不确定的周期性结构稳健拓扑优化

Robust topology optimization of periodic structures under uncertain loading

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