The DELTA robot and the manipulators derived from the DELTA robot are a relevant class of translational manipulators. In this paper, the mobility analysis of these parallel translational manipulators is developed in full. The manufacturing and mounting conditions that guarantee the pure translation of the platform are analytically derived. Moreover, it is demonstrated that these manipulators ca...

Since a parallel structure is a closed kinematics chain, all legs are connected from the origin of the tool point by a parallel connection. This connection allows a higher precision and a higher velocity. Parallel kinematic manipulators have better performance compared to serial kinematic manipulators in terms of a high degree of accuracy, high speeds or accelerations and high stiffness. Theref...

The aim of this paper is to characterize the notion of aspect in the workspace and in the joint space for parallel manipulators. In opposite to the serial manipulators, the parallel manipulators can admit not only multiple inverse kinematic solutions, but also multiple direct kinematic solutions. The notion of aspect introduced for serial manipulators in [1], and redefined for parallel manipula...

The aim of this paper is to characterize the notion of aspect in the workspace and in the joint space for parallel manipulators. In opposite to the serial manipulators, the parallel manipulators can admit not only multiple inverse kinematic solutions, but also multiple direct kinematic solutions. The notion of aspect introduced for serial manipulators in [1], and redefined for parallel manipula...

Parallel robot manipulators comprise a mobile platform connected to a fixed base through three or more articulated links and are used extensively throughout industry for such diverse applications as high-precision positioning systems, fiber alignment, welding, robotic manipulators, automatic inspection systems, and so forth. Therefore, planning a trajectory to perform a specific task is one of ...