Structural shakiness of nonoverconstrained translational parallel mechanisms with identical limbs
IEEE Transactions on Robotics
1T2R parallel mechanisms without parasitic motion
IEEE Transactions on Robotics
Parallel Robots
A Geometric Theory for Analysis and Synthesis of Sub-6 DoF Parallel Manipulators
IEEE Transactions on Robotics
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A method is presented for the type synthesis of a class of parallel mechanisms having one-dimensional (1D) rotation based on the theory of Generalized Function sets (GF sets for short), which contain two classes. The type synthesis of parallel mechanisms having the first class GF sets and 1D rotation is investigated. The Law of one-dimensional rotation is given, which lays the theoretical foundation for the intersection operations of GF sets. Then the kinematic limbs with specific characteristics are designed according to the 2D and 3D axis movement theorems. Finally, several synthesized parallel mechanisms have been sketched to show the effectiveness of the proposed methodology.