【摘要】 对于桁架结构形状优化,应用层次分解优化方法,将设计变量分成杆件截面积和节点位置两类变量。求解时分为两层,第一层在给定节点位置下对杆件截面进行优化,同时考虑了应力、局部稳定约束和位移约束的重量最轻;第二层假定截面层的有效位移约束作用不变,求解一个使桁架刚度增强的二次规划问题,获得既不违反约束,又使目标函数不上升的新的节点位置,再返回第一层。两层交替进行直至收敛。更多还原

【Abstract】 For shape optimization of truss structures,the design variables are separated into two kinds of bar sectional size and nodal position by multi-level decomposition optimization method.The solution process is divided into two steps.At the first step,supposing all nodal positions are unchangeable.The bar sectional sizes are optimized to make the weight of the structure minimized under constraints of stress,displacement and local stability.At the second step,supposing the active displacement constraints of the first step keeping unchanged.A quadratic programming model that increases the structural rigidity is solved.The obtained new nodal positions subject to the constraints and make the value of the objective function equal to or less than that of the first step.The two steps alternatively executed until convergence comes off.更多还原