在这份报纸,有线性弄弯的限制的拓扑学优化的一个模型基于一个独立人士和连续印射方法被建立最小化板 / 壳结构重量。一个合成指数的函数(CEF ) 作为为元素重量,元素僵硬矩阵和元素过滤函数被选择几何僵硬矩阵,它认出设计变量,并且设计变量处理实现变化从对分离连续并且回到分离。弄弯的限制基于泰勒扩大和过滤功能作为明确的明确的表达被接近。优化模型被转变到双编程并且由双顺序解决了二次的编程算法。最后,有力量功能和 CEF 的三个数字例子作为过滤器功能被分析并且讨论了表明建议方法的可行性和效率。
In this paper, a model of topology optimization with linear buckling constraints is established based on an independent and continuous mapping method to minimize the plate/shell structure weight. A composite exponential function(CEF) is selected as filtering functions for element weight, the element stiffness matrix and the element geometric stiffness matrix, which recognize the design variables, and to implement the changing process of design variables from“discrete” to “continuous” and back to “discrete”. The buckling constraints are approximated as explicit formulations based on the Taylor expansion and the filtering function. The optimization model is transformed to dual programming and solved by the dual sequence quadratic programming algorithm. Finally, three numerical examples with power function and CEF as filter function are analyzed and discussed to demonstrate the feasibility and efficiency of the proposed method.