通用型线泛函表达拓展及其涡旋盘研究

为使采用通用涡旋型线的涡旋盘生成过程简单便捷、易于实现，通过级数思想拓展了基于泛函的通用涡旋型线表达式，根据解析几何的向量方法得出共轭动静盘型线的两种不同向量形式，提出了涡旋盘向量生成一般流程以及运用MATLAB计算的具体设计实例。用具有“数”和“形”的向量方法表达动静型线及其啮合关系，既可以通过数值运算来控制涡旋型线的形状，又能几何直观地说明型线啮合原理及过程。得出的泛函拓展表达式不仅涵盖通用涡旋型线所有类别，还能避免传统方法计算的复杂性，有助于进一步系数优化选取研究。

An Expansion of Functional Expression in General Profiles and Corresponding Scroll Compressor Plate

To make the generation process of scroll compressor plate based on general profiles more simple and easy to implement, the general scroll profile equation was expanded through Taylor theory and two different vector forms of conjugating scroll profiles were given according to analytic geometry-vector method, also a generation process in building scroll plate and a specific design using MATLAB were given. Using vector method to study scroll profiles with conjugating relationship can both change shape of scroll profiles through numerical operations and illustrate conjugating theory by its geometrical direct-vision. The expanded general profiles equations integrate all kinds of scroll profiles, and avoid complex traditional operations, which contributes to the research on coefficient optimization.