Abstract
In this paper, geometry and inverse kinematics of a 3-PRPS type parallel manipulator are studied. This parallel manipulator is formed by connecting a moving platform with a base by three passive closing kinematic chains of a PRPS type. Constant and variable parameters characterizing the geometry of links and relative movements of elements of kinematic pairs, respectively, are defined, and the matrices of binary links and kinematic pairs are derived. On the base of these matrices of binary links and kinematic pairs, the inverse kinematics problem is solved and numerical results are presented.
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References
Tsai, L.W.: Robot Analysis: the Mechanics of Serial and Parallel Manipulators. Wiley, New York (1999)
Merlet, J.P.: Parallel Robots. Kluwer Academic Publishers, London (2000)
Clearly, C., Uebel, M.: Jacobian formulation for a Novel 6-DOF parallel manipulator. In: IEEE International Conference on Robotics and Automation, vol. 3, pp. 2377–2382 (1994)
Tsai, L.-W., Tahmasebi, F.: Synthesis and analysis of a new class of six-degree-of-freedom parallel manipulators. J. Robot. Syst. 10(5), 561–580 (1993)
Alizade, R.I., Tagiyev, N.R., Duffy, J.: A forward and reverse displacement analysis of a 6-DOF in-parallel manipulator. Mech. Mach. Theory 29(1), 115–124 (1994)
Collins, C.L., Long, G.L.: The singularity analysis of an in-parallel hand controller for force-reflected teleoperation. IEEE Trans. Robot. Autom. 11, 661–669 (1995)
Mimuza, N., Funabashi, Y.: A new analytical system applying 6 DOF parallel link manipulator for evaluating motion sensation. In: IEEE International Conference on Robotics and Automation, pp. 227–333 (1995)
Ebert, U., Gosselin, C.M.: Kinematic study of a new type of spatial parallel platform mechanism. In: ASME Design Engineering Technical Conference, Atlanta, 13–16 September, pp. 170–177 (1998)
Byun, Y.K., Cho, H.S.: Analysis of a novel 6-DOF 3-PPSP parallel manipulator. Int. J. Robot. Res. 16(6), 859–872 (1997)
Khali, D., Lee, S.-H., Tsai, K.-Y., Sandor, G.N.: Manipulator configurations based on Rotary-Liner (R-L) actuators and their direct and inverse kinematics. J. Mech. Transm. Autom. Des. 110, 397–404 (1988)
Baigunchekov, Zh., Izmambetov, M.: Inverse kinematics of Six - DOF three – limbed parallel manipulator, advances in robot design and intelligent control. In: Proceedings of the 25th Conference on Robotics in Aple-Adria-Danube Region (RAAD 2016), pp. 171–178. Springer (2016)
Baigunchekov, Zh., Izmambetov, M.: Geometry and direct kinematics of six-DOF three-limbed parallel manipulators, ROMANSY 21-robot design, dynamics and control. In: Proceedings of the 21st CISM – IFToMM Symposium, pp. 39–46. Springer (2016)
Baigunchekov, Zh., Laribi, M.A., Mustafa, A., Kaiyrov, R., Amanov, B., Kassinov, A.: Geometry and inverse kinematics of 3- PRRS type parallel manipulator. In: Advances in Intelligent Systems and Computing, pp. 12–18. Springer Nature Switzerland AG (2020)
Acknowledgment
This work is supported by the grant « 2018/AP05135493 - Structural-parametric synthesis of operating mechanisms of machines and manipulators » (2018-–020) of the Ministry of Education and Science, Kazakhstan.
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Baigunchekov, Z., Zeghloul, S., Kassinov, A. (2020). Inverse Kinematics of a 3-PRPS Type Parallel Manipulator. In: Zeghloul, S., Laribi, M., Sandoval Arevalo, J. (eds) Advances in Service and Industrial Robotics. RAAD 2020. Mechanisms and Machine Science, vol 84. Springer, Cham. https://doi.org/10.1007/978-3-030-48989-2_39
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DOI: https://doi.org/10.1007/978-3-030-48989-2_39
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