中文摘要：

　在涡旋压缩机型线设计研究中，针对涡旋型线暂啮合角固有耦合机理理论，提出了涡旋型线节点的概念，分析了涡旋型线节点的速度突变和加速度突变，通过微分几何理论分析并证明了涡旋型线固有耦合机理理论的正确性。结果表明：当特征几何边数增加时，曲率半径变化随之变小，速度突变相应随之变小，涡旋压缩机运转趋于平稳，振动和能量损失变小；当特征几何边数趋于无穷大时，曲率半径和速度突变趋向于零，涡旋压缩机运转最平稳，振动与能量损失最小；反之，特征几何边数减小时，曲率半径变化随之变大，速度突变大，涡旋压缩机运转不平稳，振动与能量损失变大。

英文摘要：

In the profile study of scroll compressor, aiming at the scroll profile coupling mechanism, the conception of scroll profile node was presented. Velocity mutation and acceleration mutation of scroll profile node were analyzed. Correctness of coupling mechanism was proved through differential geometry theory. As the increasing of edge number of characteristic geometry, the radius of curvature change and the velocity mutation decrease with it. Movement of scroll compressor tends to be steady and vibration and energy loss decrease. When the edge number of characteristic geometry tends towards infinitude, movement of scroll compressor tends to be steadiest and vibration and energy loss decrease least. Contrarily, as the decreasing of edge number of characteristic geometry, the radius of curvature change and the velocity mutation increase with it.