MDO中学科优解与整体优解关系探讨

在研究复杂产品系统规划分解、整体优化的基础上,提出了MDO中学科的数学描述方法;根据学科优化模型和系统整体优化模型,结合库恩—塔克极值理论,提出并证明了MDO中学科最优解直接组合成为系统整体最优解的3个条件,丰富了复杂产品系统的优化理论,分析了现实中系统整体最优解很难由学科最优解直接组合而得到的原因,得到了整体优化与学科优化的辩证关系,有助于寻找复杂产品系统的整体优解。

Connecting Conditions and Constraint Equations in Applied Science

To solve the optimal solution of some issues in applied science, studying of connecting conditions, constraint conditions and constraint equations is made. This paper cites an example in point in vibration mechanics and seeks the connecting conditions and constraint equations of high speed compound rotating system. This paper points out that the selection of the boundary conditions or connection conditions can effect on the optimal solution of the issue as soon as the object function is determined.