摘要
研究了基于概率的杆系结构多工况优化设计问题。建立了以杆系截面积为设计变量，结构位移、单元应力可靠度和尺寸限为约束条件，使结构重量极小化设计的数学模型。通过将概率约束等价化处理使之转变为常规约束形式，以紧约束处理策略确定有效约束。最后利用齿行法求解。算例表明文中的模型和方法是合理的和有效的。
The probability optimization of frameworks subjected to various loads is studied in this paper. A mathematic model is constructed, in which members' cross-section areas are taken as design variables, and the minimum structural weight is regarded as object function. The constraints consist of the reliability of displacement and stress as well as the lower bound of the design variables. The reliability constraints are equivalently transformed into conventional ones, and the compact constraint tactics are used to treat the constraint functions. The zigzag approach is used in search of the solution. Examples show that the design model and the method presented in this paper are rational and efficient.
出处
《工程力学》
EI
CSCD
北大核心
2001年第2期113-119,共7页
Engineering Mechanics
基金
国家自然科学基金资助项目!(59500296)
关键词
杆系结构
概率优化
可靠性约束
紧约束
齿行法
Mathematical models
Probability
Stress analysis
Structural analysis
Structural loads
Structural optimization
