为解决鼓形齿联轴器多齿接触研究课题中的实际接触齿对数的关键技术轮齿理论间隙的问题，首次用间隙角的概念对轮齿理论间隙作了定义和描述；建立了该变量的极小化模型；对一鼓形齿联轴器作了实际优化计算，得出了鼓形齿联轴器多齿接触研究中计算实际接触齿对数所需的不同啮合状态下的最小间隙角． In order to solve the problem of the theoretical tooth gap of the actual contact tooth logarithm in the multi-tooth contact research of drum tooth coupling, the concept of the tooth gap is defined and described for the first time. Variable minimum model; a drum gear coupling made a practical optimization calculation, obtained the drum tooth coupling multi-tooth contact study calculated the actual number of contact teeth required for the different state of the minimum engagement Clearance angle.