工程力学
工程力學
공정역학
ENGINEERING MECHANICS
2001年
2期
113-119
,共7页
陈建军%王芳林%费小立%车建文
陳建軍%王芳林%費小立%車建文
진건군%왕방림%비소립%차건문
杆系结构%概率优化%可靠性约束%紧约束%齿行法
桿繫結構%概率優化%可靠性約束%緊約束%齒行法
간계결구%개솔우화%가고성약속%긴약속%치행법
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。
研究瞭基于概率的桿繫結構多工況優化設計問題。建立瞭以桿繫截麵積為設計變量,結構位移、單元應力可靠度和呎吋限為約束條件,使結構重量極小化設計的數學模型。通過將概率約束等價化處理使之轉變為常規約束形式,以緊約束處理策略確定有效約束。最後利用齒行法求解。算例錶明文中的模型和方法是閤理的和有效的。
연구료기우개솔적간계결구다공황우화설계문제。건립료이간계절면적위설계변량,결구위이、단원응력가고도화척촌한위약속조건,사결구중량겁소화설계적수학모형。통과장개솔약속등개화처리사지전변위상규약속형식,이긴약속처리책략학정유효약속。최후이용치행법구해。산례표명문중적모형화방법시합리적화유효적。
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.