方向凸集的有效点集之标量化定理

本文研究了多目标优化理论中的方向凸集的Pareto有效点集和Pareto弱有效点集的标量化定理.

局部凸空间的方向一致凸性和闭凸集的正规结构

引进了局部凸空间中方向一致凸的概念,给出了相关的几个等价定义,证明了方向一致凸的局部凸空间的任一有界闭凸集具有正规结构。

凸肩摩擦减振效果影响因素研究

为了研究凸肩摩擦减振效果的影响因素,以带凸肩平板叶片为对象,利用数值模拟方法计算了平板叶片的振动响应,进行了初始紧度及凸肩接触面与振动方向夹角对凸肩摩擦减振的影响研究。分析了不同夹角和初始紧度时的1弯振动响应,得到凸肩接触面与振动方向夹角和初始紧度对减振效果的影响规律。结果表明:存在1个最优初始紧度,使减振效果达到最好;接触面与振动方向夹角越小振动越小,但需要综合考虑磨损和紧度变化情况。

Ces_p(E_i)的几种弱凸性

本文证明了Ces_p(E_i)是弱完全K凸、弱紧集方向局部一致凸、WM空间的充要条件为每个Ei分别也是弱完全K凸、弱紧集方向局部一致凸。

关于一致凸的一些推广及其关系

本文主要讨论介于一致凸和严格凸之问的一些推广及其关系。

稳定矩阵族的若干几何性质

讨论了 Ｈｕｒｗｉｔｚ 和 Ｓｃｈｕｒ 矩阵的凸方向问题，并给出了其充要条件。利用有关结果，给出了两个 Ｄ稳定矩阵之间连续过渡的问题，结果表明，只要 Ｄ 为一凸集，则所有 Ｄ稳定矩阵构成的集合是连通的。

On-Cam Operation of Counter-Rotating Type Hydroelectric Unit

The counter-rotating type hydroelectric unit, which is composed of the axial flow type tandem runners and the peculiar generator with double rotational armatures, has been proposed. In the unit, the front and the rear runners counter-drive the inner and the outer armatures of the generator, respectively. Besides, the flow direction at the rear runner outlet must coincide with the direction at the front runner inlet, because the angular momentum change through the rear runner must coincides with that through the front runner. In this paper, the tandem runners work at on-cam conditions in keeping the induced frequency constant, to provide the hydroelectric unit for the power grid system. The output and the hydraulic efficiency are affected by the adjusting angles of the front and the rear blades. Both optimum angles giving the maximum output or efficiency were presented at the various discharge/head circumstances, accompanying with the turbine performances.