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。
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.
出处
《组合机床与自动化加工技术》
北大核心
2012年第1期5-7,共3页
Modular Machine Tool & Automatic Manufacturing Technique
基金
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)
关键词
结构优化
拓扑优化
K邻近
连续体
structure optimization
topology optimization
k-nearest neighbor
continuum