Inverse Kinematics to a Stewart Platform

Florian Ion Tiberiu PETRESCU, Relly Victoria Virgil PETRESCU, MirMilad MIRSAYAR

Abstract


Mechanical systems in motion type parallel structures are solid, fast and accurate. Between mobile systems parallel the best known and used system is that of a Stewart platforms, as being and the oldest system, quickly, solid and accurate. The paper presents a few main elements of the Stewart platforms. In the case where a motto element consists of a structure composed of two elements in a relative movement from the point of view of the train of propulsion and especially in the dynamic calculations, it is more convenient to represent the motto element as a single moving item. The paper presents an exact, original analytical geometry method for determining the kinematic and dynamic parameters of a parallel mobile structure. Compared with other methods already known, the presented method has the great advantage of being an exact analytical method of calculation and not one iterative-approximately.

Keywords


Mechatronics; Robotics; Parallel moving; Stewart structure

Full Text:

PDF

References


- R. Aversa, F. Tamburrino, R.V. Petrescu, F.I.T. Petrescu, M. Artur, G. Chen, A. Apicella, Biomechanically Inspired Shape Memory Effect Machines Driven by Muscle like Acting NiTi Alloys. Am. J. Appl. Sci. 13(11) (2016) 1264-1271. doi:10.3844/ajassp.2016.1264.1271

- R. Aversa, FIT. Petrescu, RV. Petrescu, A. Apicella, Biomimetic Finite Element Analysis Bone Modeling for Customized Hybrid Biological Prostheses Development. Am. J. Appl. Sci. 13(11) (2016) 1060-1067. doi:10.3844/ajassp.2016.1060.1067

- B.-J. Lee, Geometrical derivation of differential kinematics to calibrate model parameters of flexible manipulator. Int. J. Adv. Robot. Syst. 10(2) 2013. doi:10.5772/55592

- F. Padula, V. Perdereau, An on-line path planner for industrial manipulators. Int. J. Adv. Robot. Syst. 10(3) 2013. doi:10.5772/55063

- S. Perumaal, N. Jawahar, Automated trajectory planner of industrial robot for pick-and-place task. Int. J. Adv. Robot. Syst. 10(2) 2013. doi:10.5772/53940

- H. Dong, N. Giakoumidis, N. Figueroa, N. Mavridis, Approaching behaviour monitor and vibration indication in developing a General Moving Object Alarm System (GMOAS). Int. J. Adv. Robot. Syst. 10(7) 2013. doi:10.5772/56586

- F.I.T. Petrescu, A. Apicella, R. Aversa, R.V. Petrescu, J.K. Calautit, M.M. Mirsayar, A. Riccio, Something about the Mechanical Moment of Inertia. Am. J. Appl. Sci. 13(11) (2016) 1085-1090. doi:10.3844/ajassp.2016.1085.1090.

- W. Cao, H. Ding, Z. Bin, C. Ziming, New structural representation and digital-analysis platform for symmetrical parallel mechanisms. Int. J. Adv. Robot. Syst. 10(5) (2013). doi:10.5772/56380

- X. Tang, D. Sun, Z. Shao, The structure and dimensional design of a reconfigurable PKM. Int. J. Adv. Robot. Syst. 10(6) (2013). doi:10.5772/54696

- G. Tong, J. Gu, and W. Xie, Virtual entity-based rapid prototype for design and simulation of humanoid robots. Int. J. Adv. Robot. Syst. 10(7) (2013) doi:10.5772/55936

- R. Aversa, R.V. Petrescu, A. Apicella, F.I.T. Petrescu, Mitochondria are Naturally Micro Robots - A review. Am. J. Eng. Appl. Sci. 9(4) (2016) 991-1002. doi:10.3844/ajeassp.2016.991.1002

- M. Garcia-Murillo, J. Gallardo-Alvarado, E. Castillo-Castaneda, Finding the generalized forces of a series-parallel manipulator. Int. J. Adv. Robot. Syst. 10(1) (2013) doi:10.5772/53824

- W. Liu, B. Li, X. Yang, D. Zhang, Modelling and control of inverse dynamics for a 5-DOF parallel kinematic polishing machine. Int. J. Adv. Robot. Syst. 10(8) (2013). doi:10.5772/54966

- B. He, Z. Wang, Q. Li, H. Xie, R. Shen, An analytic method for the kinematics and dynamics of a multiple-backbone continuum robot. Int. J. Adv. Robot. Syst. 10(1) (2013). doi:10.5772/54051

- H. Liu, W. Zhou, X. Lai, S. Zhu, An efficient inverse kinematic algorithm for a PUMA560-structured robot manipulator. Int. J. Adv. Robot. Syst. 10(5) (2013). doi:10.5772/56403

- F.I.T. Petrescu, R.V. Petrescu, Mechanical Systems, Serial and Parallel – Course, LULU Publisher, London, UK, 2011. ISBN 978-1-4466-0039-9.

- F.I.T. Petrescu, R.V. Petrescu, 2012. Mecatronica-sisteme seriale si paralele. Create Space publisher, USA, 2012. ISBN 978-1-4750-6613-5.

- S. Tabaković, M. Zeljković, R. Gatalo, A. Živković, Program suite for conceptual designing of parallel mechanism-based robots and machine tools. Int. J. Adv. Robot. Syst. 10(6) (2013). doi:10.5772/56633

- K. Wang, M. Luo, T. Mei, J. Zhao, Y. Cao, Dynamics analysis of a three-DOF planar serial-parallel mechanism for active dynamic balancing with respect to a given trajectory. Int. J. Adv. Robot. Syst. 10(1) (2013). doi:10.5772/54201

- R.V. Petrescu, R. Aversa, A. Apicella, F.I.T. Petrescu, Future medicine services robotics. Am. J. Eng. Appl. Sci. 9(4) (2016) 1062-1087. doi:10.3844/ajeassp.2016.1062.1087

- R. Aversa, E.M. Buzea, R.V. Petrescu, A. Apicella, M. Neacsa, F.I.T. Petrescu, Present a Mechatronic System Having Able to Determine the Concentration of Carotenoids. Am. J. Eng. Appl. Sci. 9(4) (2016) 1106-1111. doi:10.3844/ajeassp.2016.1106.1111

- F.I.T. Petrescu, R.V. Petrescu, Dynamic cinematic to a structure 2R. GEINTEC J. 6(2) (2016) 3143-3154. DOI/10.7198/geintec.v6i2.371

- M.M. Mirsayar, V.A. Joneidi, R.V. Petrescu, F.I.T. Petrescu, F. Berto, Extended MTSN criterion for fracture analysis of soda lime glass. Eng. Fract. Mech. 178(1) (2017) 50–59. doi:10.1016/j.engfracmech.2017.04.018

- S. Wen, J. Zhu, X. Li, A. Rad, X. Chen, End-point contact force control with quantitative feedback theory for mobile robots. Int. J. Adv. Robot. Syst. 9(6) 2012. doi:10.5772/53742

- Gough-Stewart platform, From Wikipedia, the free encyclopedia. Retrieved from: https://en.wikipedia.org/wiki/Stewart_platform (25 Oct. 2017)

- F.I.T. Petrescu, R.V. Petrescu, Parallel Moving Mechanical Systems. Indep. J. Manag. Prod. 5(3) (2014) 564-580. doi:10.14807/ijmp.v5i3.159


Refbacks

  • There are currently no refbacks.




Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

ISSN 2170-127X

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at http://revue.ummto.dz.