Axial/radial telescopic tire building drum is a spatial telescopic mechanism used for manufacturing aircraft tires as well as a multi-ring coupling and multi-over constraint spatial complex mechanism,therefore its topological characteristic analysis is one of the difficult problems in the study of mechanism.According to the characteristics of axially and radially symmetrical structure,the mechanism is decomposed into several substructures by systematically analyzing its structure and working principle.The over constraints and common constraints of each substructure are judged by utilizing constraint screw theory,and then mobility and over constraints of the mechanism are calculated by combining the substructures one by one. It is concluded that the multi-over constraint of the mechanism is from the high-pair between slot cam and rotating arm.On this basis,it is analyzed and revealed that the slot cam only restricts the external drum-shoulder to move in the radial plane,and applied position of limb is studied when the constraint function of the slot cam is replaced or retained;Finally,feasible structure of the limb is constructed by establishing its structural constraint system,and then several feasible axial/radial telescopic tire building drum schemes are obtained. This paper presents a new perspective for the innovative design of this kind of tire building drum,and also provides reference for the mobility analysis of spatial mechanisms with complicated structure,multi-ring coupling and multi-over constraint. © 2017, Editorial Board of Journal of Tianjin University(Science and Technology). All right reserved.