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Sectional Optimization Method of Frame Structures and Program Implementation with MSC/Patran, Nastran Software

机译：MSC / Patran，Nastran软件的框架结构分段优化方法和程序实现

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摘要

According to different properties, the stress and displacement constraints are approached by different treatments. As a local constraint, the stress constraint is approached to the zero-order approximation which is transformed to movable sectional lower limits by using the full-stress criterion. As a global constraint, the displacement constraint is transformed to an approximate explicit expression by using the unit virtual load method. Thus the sectional optimization model of frame structures is built to construct an approximate formulation with size, stress and displacement constraints. To improve the solving efficiency, the dual model of the original optimization model is solved according to the dual theory by iteratively solving the dual model in its dual space. Approximate scaling step is adopted to decrease the iterative computations and smooth the iterative process and deletion of negative constraints is adopted to reduce the size of the optimization model to improve the solving efficiency. Above mentioned method is implemented on MSC/Nastran software which is as the structural analysis solver. MSC.Patran software as developing platform, the sectional optimization software of frame structures is accomplished, which can minimize the whole weight of frame structures with stiffness and strength constraints under multiple loading-cases. The numerical examples show that the software is more effective and has better results than the optimization module of MSC/Nastran software.
机译：根据不同的性质，可以通过不同的方法来处理应力和位移约束。作为局部约束，将应力约束逼近零阶近似，然后通过使用全应力准则将其转换为可移动截面的下限。作为整体约束，通过使用单位虚拟载荷方法将位移约束转换为近似显式。因此，建立了框架结构的截面优化模型，以构造具有大小，应力和位移约束的近似公式。为了提高求解效率，通过对偶模型在其对偶空间中迭代求解，根据对偶理论对原始优化模型的对偶模型进行求解。采用近似缩放步骤减少迭代计算量，使迭代过程变得平滑，并删除负约束以减小优化模型的大小，从而提高求解效率。上述方法在作为结构分析求解器的MSC / Nastran软件上实现。以MSC.Patran软件为开发平台，完成了框架结构的截面优化软件，可以在多个工况下将刚度和强度约束的框架结构的整体重量减至最小。数值算例表明，该软件比MSC / Nastran软件的优化模块更有效，效果更好。

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