文摘
The kinetostatic model of overconstrained lower mobility parallel manipulators (PMs) is established in this paper. Based on this model, the actuator wrenches and the constrained wrenches can be completely derived, and the stiffness and the deformation of each leg and the moving platform can be obtained. A novel 2-RPU \(+\) UPR (revolute joint-prismatic joint-universal joint+universal joint-prismatic joint-revolute joint) PM is presented to illustrate the approach to solving the kinetostatic of overconstrained PMs. Due to the particular arrangement of the joints in each legs, this PM provides six constraints to the moving platform, whereas three of them are overconstraints. The detailed kinetostatic of this PM is obtained based on the established model. The unified stiffness finite element (FE) model for various PMs is established, and the stiffness of the 2-RPU \(+\) UPR PM is verified.