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一、引言 在文献[1,2]中,分别研究了任意旋成面叶栅的‘A’型和‘B’型杂交型气动命题(简记作H_A和H_B命题).本文将专门研究另一种类型的杂交命题——‘C’型杂交命题,简记作H_c命题.我们知道,叶栅气动性能主要取决于叶型凸面上的流速分布,而叶型的厚度分布则在很大程度上左右着叶片的强度、冷却、结构和工艺特性。因此把凸面流速分布和叶厚分布选作叶栅设计的已知条件,就能形成一种非常合理的杂交气动命题,它能很好的兼顾气动以及其它方面的设计要求,这就是本文要研究的C型杂交命题。我们在此建立了这种命题的两族变分原理,从而为叶片设计提供了又一些新的合理途径.
I. INTRODUCTION In the literatures [1, 2], the aerodynamic propositions of hybrid type A and type B (abbreviated H_A and H_B propositions) of arbitrary revolving cascades are studied respectively. One type of hybridization proposition, the ’C’ hybridization proposition, abbreviated as the Hc proposition, is that the aerodynamic performance of the cascade depended primarily on the flow velocity distribution on the convex surface of the blade, whereas the thickness distribution of the blade type is to a large extent On the blade strength, cooling, structure and process characteristics. Therefore, choosing the convex velocity distribution and the leaf thickness distribution as the known conditions of the cascade design can form a very reasonable hybrid aerodynamic proposition, which can well meet the aerodynamic and other aspects of the design requirements, which is this article to study C-type hybridization proposition. Here we have established a bicommunal variational principle for this proposition, which provides some new and reasonable ways for blade design.