二维桁架结构拓扑优化的特征线提取方法及算例分析

程自然; 颜健; 彭佑多; 刘永祥; 彭黎

doi:10.13433/j.cnki.1003-8728.2018.0504

二维桁架结构拓扑优化的特征线提取方法及算例分析

doi: 10.13433/j.cnki.1003-8728.2018.0504

1.
湖南科技大学机械设备健康维护省重点实验室, 湖南湘潭 411201

基金项目:

国家自然科学基金（51641504）、湖南省自然科学基金项目（2016JJ2052）及湖南省研究生科研创新项目（CX2016B549）资助

详细信息

作者简介:
程自然(1993-),硕士研究生,研究方向为机械设计,碟式太阳能系统机架结构拓扑优化等,ziranC19930417@163.com

通讯作者:
彭佑多,教授,博士生导师,博士,ydpeng1964@163.com

计量
- 文章访问数: 207
- HTML全文浏览量: 29
- PDF下载量: 14
- 被引次数: 0
出版历程
- 收稿日期: 2016-10-30
- 刊出日期: 2018-05-05

Feature-line Extraction Method for Two-dimensional Truss Structure Topology Optimization

1.
Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Hu'nan Xiangtan 411201, China

摘要

摘要: 针对二维桁架结构拓扑优化结果面向工程制造的问题，提出了一种桁架拓扑优化结果的特征线（桁架杆件轴线）提取方法。基于渐进结构优化方法（ESO）对连续体结构进行拓扑优化，获得桁架结构的拓扑结构。根据桁架拓扑优化结果提取各拓扑区域的中心点坐标，基于桁架杆件的直线特征对拓扑区域进行区域划分，而后建立各拓扑区域的特征线数学模型。结合各特征线数学模型确定桁架杆件的节点，并引入节点合并的半径区域，建立了桁架各杆件连接节点位置的二次优化数学模型。最终，根据最优的节点位置得到了面向制造的桁架拓扑优化结果-特征线。采用3个经典算例，验证了该桁架拓扑优化结果特征线提取方法的有效性，为后续桁架结构的杆件截面优化提供了基础。
- 桁架结构优化 /
- 拓扑优化 /
- 特征线提取方法 /
- 面向制造 /
- 渐进结构优化方法(ESO)
Abstract: A truss structure topology optimization feature-line(axis of the turss) extraction method is proposed for the problem of the two-dimensional truss structure topology optimization manufacturing. The continuum structure is optimized based on the evolutionary structural optimization method (ESO). The center point coordinates of the topological area are extracted according to the truss topology optimization result. The topological area is divided based on the truss linear characteristics and then the topological area feature-line mathematical model is established. The truss nodes are determined and combined with the feature-line mathematical model and then the radius of the nodes merging area is introduced to establish the truss nodes position quadratic optimization mathematical model. Finally, the truss topology optimization result(feature-line) oriented to manufacturing is extracted based on the optimal truss node position. Three classical examples are used to verify the effectiveness of the feature-line extraction method.
- truss structure optimization /
- topology optimization /
- feature-line extraction method /
- oriented to manufacturing /
- evolutionary structure optimization(ESO) method

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