摘要
该文在研究水平集拓扑优化方法的基础上,对具有区间参数的不确定性结构的非概率可靠性约束进行了分析,经对有限元公式的推导、变换,提出了包涵非概率可靠度信息的拟安全系数形式,从而将非概率可靠性约束问题显式化处理,使得优化过程形式简单、便于计算,避免了复杂的迭代运算。通过对算例中数据及拓扑图形的对比研究,表明该文中模型的合理性和方法的有效性。
Based on the research of the topological optimization method with level set, the non-probability reliability constraint of interval parameters structure was analyzed. Through deducing and transforming the finite element formula, the suppositional safety factor form with non-probability reliability information is proposed, by which the non-probability reliability constraints are dealt with explicitly. This method was simple in form and quick to perform, and avoids complicated iteration operations. The feasibility and validity of this method is verified through comparing the data and tooological fimares ofexamnles.
出处
《工程力学》
EI
CSCD
北大核心
2012年第6期58-62,共5页
Engineering Mechanics
基金
国家自然科学基金项目(50905134)
关键词
固体力学
拓扑优化
水平集
非概率
可靠性
结构优化
solid mechanics
topological optimization
level-set method
non-probability
reliability
structuraloptimization
