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基于K邻近算法的连续体结构拓扑优化设计
引用本文:李景奎,张义民.基于K邻近算法的连续体结构拓扑优化设计[J].组合机床与自动化加工技术,2012(1):5-7.
作者姓名:李景奎  张义民
作者单位:东北大学机械工程与自动化学院,沈阳,110819
基金项目:长江学者和创新团队发展计划(IRT0816);“高档数控机床与基础制造装备”科技重大专项课题(2010ZX04014-014);国家自然科学基金项目(51135003,50875039);“十一五”国家科技支撑计划(2009BAG12A02-A07-2)
摘    要:以平面连续体为研究对象,建立了结构拓扑优化的数学模型,提出了新的结构优化方法.该方法利用K邻近理论进行结构优化的运算,给出了运算公式,定义了删除率以及进化率,并给出了计算实例,得到的结构优化结果与其他结构优化方法运算结果相近.结果表明K邻近理论结构优化方法是可行的.

关 键 词:结构优化  拓扑优化  K邻近  连续体

Topology Optimization of Continuum Structure Based on K-nearest Neighbour Algorithm
LI Jing-kui , ZHANG Yi-min.Topology Optimization of Continuum Structure Based on K-nearest Neighbour Algorithm[J].Modular Machine Tool & Automatic Manufacturing Technique,2012(1):5-7.
Authors:LI Jing-kui  ZHANG Yi-min
Affiliation:(School of Mechanical Engineering and Automation,Northeastern University,Shenyang 110819,China)
Abstract:Based on the plane continuum,the mathematic model of topology optimization was established,and a new topology optimization method of continuum structure was proposed.The k-nearest neighbor algorithm is used to conduct the operation of structure topology optimization in this method.The computation formula is provided,the deleting rate and evolving rate are defined.Several numerical examples are given and the optimal results are close to which obtained by the other method.The comparison indicates that the topology optimization method of continuum structure based on k-nearest neighbor is feasible.
Keywords:structure optimization  topology optimization  k-nearest neighbor  continuum
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