Kinematic and dynamic analysis of a 3-DOF parallel mechanism
Source abstract
Abstract
This paper presents a three Degrees of Freedom (DOFs) parallel manipulator with no rotational capacity. Planar kinematic pairs (revolute joint and prismatic joint) are exclusively employed in this parallel structure. The parallelogram joint in each kinematic chain assists to ensure the moving platform’s orientation is constant throughout the reachable workspace. Unlike the general parallel mechanisms, three identical kinematic limbs are degenerated to two kinematic limbs through merging two passive prismatic joints with same movement. Three active sliding joints are still required to drive this special parallel structure. Its mobility characteristic is firstly studied in detail and all possible singularity configurations are discussed by means of screw theory. The Lagrangian formulation is employed to compute the mathematical model of the inverse dynamic problem. The reachable workspace is obtained based on the inverse kinematic solutions. The distributions of the maximum joint force effect and maximum joint velocity effect are conducted. An example is provided to illustrate their trends under preset motion of the mobile platform.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Robotic Mechanisms and Dynamics · Mechanical Engineering and Vibrations Research · Dynamics and Control of Mechanical Systems
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References (41)
Show source-provided references
1. Arian, A., Danaei, B., Abdi, H., Nahavandi, S.: Kinematic and dynamic analysis of the Gantry–Tau, a 3-DoF translational parallel manipulator. Appl. Math. Model. 51, 217–231 (2017)10.1016/j.apm.2017.06.012 ↗
2. Bai, S.P., Li, X.R., Angeles, J.: A review of spherical motion generation using either spherical parallel manipulators or spherical motors. Mech. Mach. Theory 140, 377–388 (2019)10.1016/j.mechmachtheory.2019.06.012 ↗
3. Brinker, J., Funk, N., Ingenlath, P., Takeda, Y., Corves, B.: Comparative study of serial-parallel delta robots with full orientation capabilities IEEE Robot. Autom. Lett. 2, 920–926 (2017)10.1109/LRA.2017.2654551 ↗
4. Callegari, M., Tarantini, M.: Kinematic analysis of a novel translational platform. J. Mech. Des. 125, 308–315 (2003)10.1115/1.1563637 ↗
5. Carricato, M., Castelli, V.P.: Singularity-free fully-isotropic translational parallel mechanisms. Int. J. Robot. Res. 21, 161–174 (2002)10.1177/027836402760475360 ↗
6. Clavel, R.: A fast robot with parallel geometry. In: Proceedings of International Symposium on Industrial Robot, pp. 91–100 (1988)
7. Cui, G.H., Zhang, D., Zhou, H.D., Zhang, Y.W.: Operating dexterity optimization and analysis of a 3-DOF parallel manipulator for a tunnel segment assembly system. Int. J. Mech. Mater. Des. 11, 277–285 (2015)10.1007/s10999-014-9268-8 ↗
8. Elgolli, H., Houidi, A., Mlika, A., Romdhane, L.: Analytical analysis of the dynamic of a spherical parallel manipulator. Int. J. Adv. Manuf. Technol. 101, 859–871 (2019)10.1007/s00170-018-2939-0 ↗
9. Gosselin, C.M., Schreiber, L.T.: Kinematically redundant spatial parallel mechanisms for singularity avoidance and large orientational workspace. IEEE Trans. Robot. 32, 286–300 (2016)10.1109/TRO.2016.2516025 ↗
10. Hu, B., Shi, Y.G., Xu, L.Z., Bai, P.: Reconsideration of terminal constraint/mobility and kinematics of 5-DOF hybrid manipulators formed by one 2R1T PM and one RR SM. Mech. Mach. Theory 149, 103837 (2020)10.1016/j.mechmachtheory.2020.103837 ↗
11. Huang, Z., Li, Q.C., Ding, H.F.: Theory of Parallel Mechanism, 1st edn. Springer, Dordrecht (2007)
12. Huang, J., Chen, Y.H., Zhong, Z.H.: Udwadia-Kalaba approach for parallel manipulator dynamics. ASME J. Dyn. Sys., Meas., Control 135, 061003 (2013)10.1115/1.4024600 ↗
13. Joshi, S.A., Tsai, L.W.: Jacobian analysis of limited-DOF parallel manipulators. ASME J. Mech. Des. 124, 254–258 (2002)10.1115/1.1469549 ↗
14. Kong, X.W., Gosselin, C.M.: Type Synthesis and Parallel Mechanisms, 1st edn. Springer, Heidelberg (2007)
15. Kong, X.W., Gosselin, C.M.: A formula that produces a unique solution to the forward displacement analysis of a quadratic spherical parallel manipulator: the Agile Eye. ASME J. Mech. Robot. 2, 044501 (2010)10.1115/1.4002077 ↗
16. Kumar, S., Bongardt, B., Simnofske, M., Kirchner, F.: Design and kinematic analysis of the novel almost spherical parallel mechanism active ankle. J. Intell. Robot. Syst. 94, 303–325 (2019)10.1007/s10846-018-0792-x ↗
17. Kumar, S., Wöhrle, H., Fernández, J.D.G., Müller, A., Kirchner, F.: A survey on modularity and distributivity in series-parallel hybrid robots. Mechatronics 68, 102367 (2020)10.1016/j.mechatronics.2020.102367 ↗
18. Laryushkin, P., Glazunov, V., Erastova, K.: On the maximization of joint velocities and generalized reactions in the workspace and singularity analysis of parallel mechanism. Robotica 37, 675–690 (2019)10.1017/S026357471800125X ↗
19. Li, Y.M., Xu, Q.S.: Kinematic analysis and design of a new 3-DOF translational parallel manipulator. J. Mech. Des. 128, 729–737 (2006)10.1115/1.2198254 ↗
20. Li, G.T., Huang, H.L., Guo, H.W., Li, B.: Dynamic modeling and control for a deployable grasping manipulator. IEEE Access 7, 23000–23011 (2019)10.1109/ACCESS.2019.2897689 ↗
21. Li, J., Ye, F., Shen, N.Y., Wang, Z.R., Geng, L.: Dimensional synthesis of a 5-DOF hybrid robot. Mech. Mach. Theory 150, 103865 (2020)10.1016/j.mechmachtheory.2020.103865 ↗
22. Liu, X.J., Wang, J.S., Pritschowa, G.: A new family of spatial 3-DoF fully-parallel manipulators with high rotational capability. Mech. Mach. Theory 40, 475–494 (2005)10.1016/j.mechmachtheory.2004.10.001 ↗
23. Marquet, F., Company, O., Krut, S., Gascuel, O., Pierrot, F.: Control of a 3-DOF over-actuated parallel mechanism. In: DETC: Design Engineering Technical Conferences-CIE: Computers and Information in Engineering Conference, Montreal, Canada, p. 34343 (2002)10.1115/DETC2002/MECH-34343 ↗
24. Merlet, J.P.: Parallel robots, 2nd edn. Kluwer Academic Publishers, Dordrecht (2006)
25. Nurahmi, L., Gan, D.M.: Dynamic analysis of the 3-RRPS metamorphic parallel mechanism based on instantaneous screw axis. In: Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering (IDETC/CIE) Conference, Anaheim, USA, p. 59230, V05AT07A064 (2019)10.1115/DETC2019-97851 ↗
26. Patrikalakis, N. M., Takashi, M.: Shape Interrogation for Computer Aided Design and Manufacturing. Springer (2009)10.1007/978-3-642-04074-0 ↗
27. Rodriguez-Leal, E., Dai, J.S., Pennock, G.R.: Screw-system-based mobility analysis of a family of fully translational parallel manipulators. Math. Probl. Eng. 2013 262801 (2013)10.1155/2013/262801 ↗
28. Romdhane, L., Affi, Z., Fayet, M.: Design and singularity analysis of a 3-translational-DOF in-parallel manipulator. J. Mech. Des. 124, 419–426 (2002)10.1115/1.1480815 ↗
29. Shen, H.P., Chablat, D., Zeng, B.X., Li, J., Wu, G.L., Yang, T.L.: A translational three-degrees of- freedom parallel mechanism with partial motion decoupling and analytic direct kinematics. ASME J. Mech. Robot. 12, 021112 (2020)10.1115/1.4045972 ↗
30. Sun, T., Yang, S.F.: An approach to formulate the Hessian matrix for dynamic control of parallel robots. IEEE/ASME Trans. Mechatron. 24, 271–281 (2019)10.1109/TMECH.2019.2891297 ↗
31. Talke, K., Drotman, D., Stroumtsos, N., Oliveira, M. D., Bewley, T.: Design and parameter optimization of a 3-PSR parallel mechanism for replicating wave and boat motion In: Int. Cont. Robot. Autom. Montreal, Canada, pp. 7955–7961 (2019)10.1109/ICRA.2019.8793473 ↗
32. Tsai, L.W.: Robot Analysis: The Mechanics of Serial and Parallel Manipulators. Wiley (1999)
33. Tsai, L.W., Joshi, S.: Kinematics and optimization of a spatial 3-UPU parallel manipulator. J. Mech. Des. 122, 439–446 (2000)10.1115/1.1311612 ↗
34. Tsai, L.W., Walsh, G.C., Stamper, R.E.: Kinematics of a novel three DOF translational platform. In: IEEE Int. Cont. Robot. Autom. Minneapolis, USA, vol. 4, pp. 3446–3451 (1996)10.1109/ROBOT.1996.509237 ↗
35. Wang, G.X.: Dynamics analysis of parallel mechanism with flexible moving platform based on floating frame of reference formulation. ASME J. Mech. Robot. 11, 041002 (2019)10.1115/1.4043045 ↗
36. Wang, D., Wang, L.P., Wu, J., Ye, H.: An experimental study on the dynamics calibration of a 3-DOF parallel tool head. IEEE/ASME Trans. Mechatron. 24, 2931–2941 (2019)10.1109/TMECH.2019.2942622 ↗
37. Wolf, A., Ottaviano, E., Shoham, M., Ceccarelli, M.: Application of line geometry and linear complex approximation to singularity analysis of the 3-DOF CaPaMan parallel manipulator. Mech. Mach. Theory 39, 75–95 (2004)10.1016/S0094-114X(03)00105-8 ↗
38. Wu, Y.N., Gosselin, C.M.: Design of reactionless 3-DOF and 6-DOF parallel manipulators using parallelepiped mechanisms. IEEE Trans. Robot. 21, 821–833 (2005)10.1109/TRO.2005.847573 ↗
39. Xu, P., Cheung, C.F., Li, B., Ho, L.T., Zhang, J.F.: Kinematics analysis of a hybrid manipulator for computer controlled ultra-precision freeform polishing. Robot. Comput.-Integr. Manuf. 44, 44–56 (2017)10.1016/j.rcim.2016.08.003 ↗
40. Ye, H., Wang, D., Wu, J., Yue, Y., Zhou, Y.L.: Forward and inverse kinematics of a 5-DOF hybrid robot for composite material machining. Robot. Comput.-Integr. Manuf. 65, 101961 (2020)10.1016/j.rcim.2020.101961 ↗
41. Zhang, H.D., Zhang, X.M., Zhang, Z.H., Yang, L.X.: Dynamic modeling and comparative analysis of a 3-PRR parallel robot with multiple lubricated joints. Int. J. Mech. Mater. Des. 16, 541–555 (2020)10.1007/s10999-019-09479-5 ↗