Abstract: A mechanism is constructed by twelve-axis geometry and controlled by spherical coordinate, so that all torques in twelve axes can be parallelly integrated. Timing belts, pulleys, hollow shafts, and spur gears onto four arc-link sets are included. Via these transmission components, base arc-links can be indirectly but synchronously rotated by base driving modules and terminal arc-links can be indirectly but synchronously rotated by terminal driving modules. The final output torque can be integrated via serial linking and parallel cooperating by the twelve rotating modules. Therefore, four arc-link sets work cooperatively and effectively in group but bear no burden each other. The mechanism can be applied to a multi-axis composite machining center machine or a multi-time element detection measuring bed and shoulder joints or hip joints corresponding to robots.

Abstract: A mechanism is constructed by spherical concentric geometry and controlled by spherical coordinate kinematics. Transmission belts, pulleys, shafts, and spur gears are added onto three arc-link sets. Via these transmission components, base arc-links can be indirectly or directly but synchronously rotated by base driving modules and terminal arc-links can be indirectly or directly but synchronously rotated by terminal driving modules.

Abstract: A mechanism is constructed by twelve-axis geometry and controlled by spherical coordinate, so that all torques in twelve axes can be parallelly integrated. Timing belts, pulleys, hollow shafts, and spur gears onto four arc-link sets are included. Via these transmission components, base arc-links can be indirectly but synchronously rotated by base driving modules and terminal arc-links can be indirectly but synchronously rotated by terminal driving modules. The final output torque can be integrated via serial linking and parallel cooperating by the twelve rotating modules. Therefore, four arc-link sets work cooperatively and effectively in group but bear no burden each other. The mechanism can be applied to a multi-axis composite machining center machine or a multi-time element detection measuring bed and shoulder joints or hip joints corresponding to robots.

Abstract: A mechanism geometrically constituted with twelve axes can be manipulated for spherical coordinate kinematics. Concerning the major improvement of the invention, one of the two geometric tetrahedron frames which were ever specified by our two pre-inventions (U.S. Pat. No. 8,579,714 B2/US20120083347A1 and US20150082934A1) is decoupled and reconstructed as two separated terminal frames which are constituted by two individual geometric arcs. The other one of the two geometric tetrahedron frames without changing its original geometric definition is inherited in the invention and renamed as a base frame. Comparing to the original single geometric tetrahedron, the mechanism newly developed by two individual geometric arcs is suffering fewer constraints and gaining more work space. If a terminal saddle is equipped onto a terminal frame, the newly developed mechanism can be increased extra payload capability.

Abstract: A mechanism geometrically constituted with twelve axes can be manipulated for spherical coordinate kinematics. Concerning the major improvement of the invention, one of the two geometric tetrahedron frames which were ever specified by our two pre-inventions (U.S. Pat. No. 8,579,714 B2/US20120083347A1 and US20150082934A1) is decoupled and reconstructed as two separated terminal frames which are constituted by two individual geometric arcs. The other one of the two geometric tetrahedron frames without changing its original geometric definition is inherited in the invention and renamed as a base frame. Comparing to the original single geometric tetrahedron, the mechanism newly developed by two individual geometric arcs is suffering fewer constraints and gaining more work space. If a terminal saddle is equipped onto a terminal frame, the newly developed mechanism can be increased extra payload capability.

Abstract: A spherical coordinates manipulating mechanism for inner frame pivotal configuration. There are total twelve axles in the mechanism for pivoting with four outer rotating members, four arc-link rotating members and four inner rotating members individually, and each axle of these rotating members is specifically directed into the center of the outer frame for concentrically rotating each arc-link set along a specified geometric orbit between the outer frame and inner frame. Therefore, the final output torque can be integrated via serial linking and parallel cooperating with the twelve axles. The mechanism can be equipped with single effector arc-link set or with double effector arc-link sets. In this divisional application. There are three embodiments for sufficiently introducing the spherical coordinates manipulating mechanism for inner frame pivotal configuration.

Abstract: A spherical coordinates manipulating mechanism for improving the utility of U.S. Pat. No. 8,579,714 B2 is provided. Four inner and outer arc-links are pivotally connected to the inner and outer frame respectively so as to carry out a three degrees-of-freedom steering motion. At least one effector arc-link set is selectively connected to the inner or outer frame so that the spherical coordinates manipulating mechanism can directly output force or torque.

Abstract: A spherical coordinates manipulating mechanism for improving the utility of U.S. Pat. No. 8,579,714 B2 is provided. Four inner and outer arc-links are pivotally connected to the inner and outer frame respectively so as to carry out a three degrees-of-freedom steering motion. At least one effector arc-link set is selectively connected to the inner or outer frame so that the spherical coordinates manipulating mechanism can directly output force or torque.

Abstract: This new invented mechanism is geometrically defined by two concentric tetrahedrons. Four motors are mounted onto the four vertexes of an outer tetrahedron frame. Four outer arc-links which are driven by these motors are pivotally connected with another four inner arc-links which are pivoted by four vertexes of an inner tetrahedron frame. This mechanism not only extends the range in pitch, roll and yaw three rotational DoF for enlarging the limits of Stewart 6-axis motion platform but also increases two translational DoF for improving the shortage of gimbals type multi-ring mechanism. This mechanism can simulate high maneuvering motion (ex. Barrel roll or fast spin) as high-speed vehicles (ex. fighter or roller coaster) can to stimulate passengers with virtual-but-real and shocked-but-exciting sensation. This mechanism will be chosen as a motion platform or a space orientating mechanism for a theme park game machine or a military fighter trainer.

Abstract: This new invented mechanism is geometrically defined by two concentric tetrahedrons. Four motors are mounted onto the four vertexes of an outer tetrahedron frame. Four outer arc-links which are driven by these motors are pivotally connected with another four inner arc-links which are pivoted by four vertexes of an inner tetrahedron frame. This mechanism not only extends the range in pitch, roll and yaw three rotational DoF for enlarging the limits of Stewart 6-axis motion platform but also increases two translational DoF for improving the shortage of gimbals type multi-ring mechanism. This mechanism can simulate high maneuvering motion (ex. Barrel roll or fast spin) as high-speed vehicles (ex. fighter or roller coaster) can to stimulate passengers with virtual-but-real and shocked-but-exciting sensation. This mechanism will be chosen as a motion platform or a space orientating mechanism for a theme park game machine or a military fighter trainer.