Yf. Fang et Z. Huang, KINEMATICS OF A 3-DEGREE-OF-FREEDOM IN-PARALLEL ACTUATED MANIPULATOR MECHANISM, Mechanism and machine theory, 32(7), 1997, pp. 789-796
This paper presents the first and second order kinematic analysis of a
three-degrees-of-freedom 3-RPS parallel robot mechanism. The position
and orientation parameters of the moving platform of this mechanism a
re six, however only three of them are independent. The Jacobian of th
e mechanism is a 3 by 6 rectangular matrix. This imposes difficulties
on the kinematic analysis of this mechanism. This paper presents a met
hod to formulate three motion constrain equations which are consistent
with the kinematic structure of the mechanism, and establishes the ve
locity and acceleration relationship between the independent output mo
tions and three input parameters in close form. (C) 1997 Elsevier Scie
nce Ltd.