  A family of reconfigurable parallel robots can change motion modes by passing
through constraint singularities by locking and releasing some passive joints
of the robot. This paper is about the kinematics, the workspace and singularity
analysis of a 3-PRPiR parallel robot involving lockable Pi and R (revolute)
joints. Here a Pi joint may act as a 1-DOF planar parallelogram if its
lock-able P (prismatic) joint is locked or a 2-DOF RR serial chain if its
lockable P joint is released. The operation modes of the robot include a 3T
operation modes to three 2T1R operation modes with two different directions of
the rotation axis of the moving platform. The inverse kinematics and forward
kinematics of the robot in each operation modes are dealt with in detail. The
workspace analysis of the robot allow us to know the regions of the workspace
that the robot can reach in each operation mode. A prototype built at
Heriot-Watt University is used to illustrate the results of this work.
