A parallel
robot modeling method considering omni-directional motion errors of flexible joints comprises the steps that S1, the output
pose of the
tail end of a mechanism is defined, and a kinematic model of a
robot is established based on a closed-loop
vector method; s2, flexible joint output poses are constructed in combination with motion variables of the flexible joints, wherein the motion variables comprise the displacement amount and the rotation angle amount of the flexible joints in the non-functional direction; s3, establishing a local coordinate
system in each flexible joint and each moving joint in the
branch chains, and constructing homogeneous coordinate transformation matrixes and a transfer relation among the matrixes; s4, the mapping relation between the motion variables of all the flexible joints and the
tail end output poses is constructed; s5, constructing a force and moment
balance equation of the movable platform in the branched chain, the flexible joints and the movable joints; s6, all the equations are combined, and the
tail end output
pose of the mechanism is solved. According to the method, the
motion error of the flexible joint in the non-functional direction is considered, the
robot model with higher precision is established, and the operation precision and reliability of the robot are ensured.