Kinematic analysis and trajectory planning of two-limb 4-DOF high-speed parallel robot

Focusing on the pick-and-place operation in the electronic, packaging, and other light industries, this paper proposed a new type 3T1R (T-Translation, R-Rotation) high-speed parallel robot with two limbs. Compared with other 4-DOF high-speed parallel robots with four limbs, its structure is simpler while the working space is larger, such that the potential for cheaper usage in the industry is achieved. The robot's kinematic analysis and trajectory planning, including key aspects, are also outlined here. Firstly, the robot's closed-loop constraint equation is established using the vector chain method. The displacement, velocity, and acceleration models are derived, and the Jacobian matrix is obtained. On this basis, the gate shape trajectory is planned using the 3-4-5 polynomial motion rule, such that the displacement, velocity, and acceleration of the driving joint are obtained using the kinematic models above. Ultimately, the accuracy of the kinematic models is confirmed by comparing the theoretical outcomes with the simulations carried out in SolidWorks. The study presented in this paper establishes a firm basis for the dimensional integration and the creation of a physical model of the robot.