“…The IPM is a TPM 20 whose role is to keep constant the orientation of the end-effector platform with respect to the fixed platform, whereas the EPM is a three-legged 15 3-CUR C = cylindrical joint, P = prismatic joint, R = revolute joint, S = spherical joint, U = universal joint. asymmetric parallel manipulator, SP + SPR + SPU, whose function is to provide three translational movements to the control point and it is an adaptation of the four degrees of freedom partially decoupled parallel manipulator introduced by Gallardo-Alvarado et al 21 The adjustablelength limbs q i (i = 1, 2, 3), with associated vectors q i (in the remainder of this work i = 1, 2, 3), are chosen as the active kinematic pairs of the robot and since they provide rectilinear forces, then the proposed manipulator can be used not only as a pick-and-place manipulator but also as a spatial translational machine tool.…”