Motion analysis of a tripod parallel mechanism

A tripod parallel mechanism consists of three links of fixed length and a rigid platform, and these are connected by revolute joints. The platform can achieve sixdegrees-of-freedom (6-DOF) motion by the coordinated movement of the bottom ends of the three links on a horizontal plane. This mechanism has advantages over the more common six extendible parallel manipulators. It has a much larger work space and a simple structure. In this article, we show that the vector analysis for this tripod parallel mechanism and the derivation of the positions of the three bottom ends of the links in an arbitrary attitude of platform can be found by inverse kinematics and the conditions of geometrical constraint. Then, by a numerical simulation, the trajectories of the bottom ends of the three links are shown.