An algorithm to solve the inverse kinematics to a stewart platform

Main Article Content

Florian Ion Tiberiu Petrescu
Relly Victoria Virgil Petrescu
صندلی اداری

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 platform, 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.

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Author Biographies

Florian Ion Tiberiu Petrescu, Bucharest Polytechnic University

Ph.D. Eng. Florian Ion T. PETRESCU

Senior Lecturer at UPB (Bucharest Polytechnic University), Theory of Mechanisms and Robots department,

Date of birth: March.28.1958; Higher education: Polytechnic University of Bucharest, Faculty of Transport, Road Vehicles Department, graduated in 1982, with overall average 9.63;

Doctoral Thesis: "Theoretical and Applied Contributions About the Dynamic of Planar Mechanisms with Superior Joints".

Expert in: Industrial Design, Mechanical Design, Engines Design, Mechanical Transmissions, Dynamics, Vibrations, Mechanisms, Machines, Robots.

Association:

Member ARoTMM, IFToMM, SIAR, FISITA, SRR, AGIR. Member of Board of SRRB (Romanian Society of Robotics).

Relly Victoria Virgil Petrescu, Ph.D. Eng. Relly Victoria V. PETRESCU Senior Lecturer at UPB (Bucharest Polytechnic University), TTL department, Date of birth: March.13.1958; Higher education: Polytechnic University of Bucharest, Faculty of Transport, Road Vehicles Department, graduated in 1982, with overall average 9.43;

Ph.D. Eng. Relly Victoria V. PETRESCU

Senior Lecturer at UPB (Bucharest Polytechnic University), TTL department,

Date of birth: March.13.1958; Higher education: Polytechnic University of Bucharest, Faculty of Transport, Road Vehicles Department, graduated in 1982, with overall average 9.43;

 

References

AVERSA, R.; PARCESEPE, D.; PETRESCU, R. V.; BERTO, F.; CHEN, G.; PETRESCU, F. I. T.; TAMBURRINO, F.; APICELLA, A. (2017a) Processability of Bulk Metallic Glasses. Am. J. Applied Sci., v. 14, n. 2, p. 294-301. DOI: 10.3844/ajassp.2017.294.301

AVERSA, R.; PETRESCU, R. V.; PETRESCU, F. I. T.; APICELLA, A. (2017b) Nano-Diamond Hybrid Materials for Structural Biomedical Application. Am. J. of Biochemistry and Biotechnology, v. 13, n. 1, p. 34-41. DOI: 10.3844/ajbbsp.2017.34.41

AVERSA, R.; PARCESEPE, D.; PETRESCU, R. V.; CHEN, G.; PETRESCU, F. I. T.; TAMBURRINO, F.; APICELLA, A. (2016a) Glassy Amorphous Metal Injection Molded Induced Morphological Defects. Am. J. Applied Sci.,v. 13, n. 12, p. 1476-1482. DOI: 10.3844/ajassp.2016.1476.1482

AVERSA, R.; PETRESCU, F. I. T.; PETRESCU, R. V.; APICELLA, A. (2016b) Biomimetic Finite Element Analysis Bone Modeling for Customized Hybrid Biological Prostheses Development. Am. J. Applied Sci., v. 13, n. 11, p. 1060-1067. DOI: 10.3844/ajassp.2016.1060.1067

AVERSA, R.; TAMBURRINO, F.; PETRESCU, R. V.; PETRESCU, F. I. T.; ARTUR, M.; CHEN, G.; APICELLA, A. (2016c) Biomechanically Inspired Shape Memory Effect Machines Driven by Muscle like Acting NiTi Alloys. Am. J. Applied Sci., v. 13, n. 11, p. 1264-1271. DOI: 10.3844/ajassp.2016.1264.1271

AVERSA, R.; PETRESCU, R. V.; PETRESCU, F. I. T.; APICELLA, A. (2016d) Smart-Factory: Optimization and Process Control of Composite Centrifuged Pipes. Am. J. Applied Sci., v. 13, n. 11, p. 1330-1341. DOI: 10.3844/ajassp.2016.1330.1341

CAO, W.; DING, H.; BIN, Z.; ZIMING, C. (2013) New structural representation and digital-analysis platform for symmetrical parallel mechanisms. Int. J. Advanced Robotic Sys., DOI: 10.5772/56380

DONG, H.; GIAKOUMIDIS, N.; FIGUEROA, N.; MAVRIDIS, N. (2013) Approaching behavior monitor and vibration indication in developing a General Moving Object Alarm System , n. GMOAS). Int. J. Advanced Robotic Sys., DOI: 10.5772/56586

GARCIA, E.; JIMENEZ, M. A.; DE SANTOS, P. G.; ARMADA, M. (2007) The evolution of robotics research. Robotics Automation Magazine, IEEE, n. 14, p. 90-103.

GARCIA-MURILLO, M.; GALLARDO-ALVARADO, J.; CASTILLO-CASTANEDA, E. (2013) Finding the generalized forces of a series-parallel manipulator. IJARS, DOI: 10.5772/53824

GOUGH-STEWART PLATFORM, From Wikipedia, the free encyclopedia. Retrieved from: https://en.wikipedia.org/wiki/Stewart_platform

HE, B.; WANG, Z.; LI, Q.; XIE, H.; AND SHEN, R. (2013) An analytic method for the kinematics and dynamics of a multiple-backbone continuum robot. IJARS, DOI: 10.5772/54051

LEE, B. J. (2013) Geometrical derivation of differential kinematics to calibrate model parameters of flexible manipulator. Int. J. Advanced Robotic Sys., DOI: 10.5772/55592

LIN, W.; LI, B.; YANG, X.; ZHANG, D. (2013) Modelling and control of inverse dynamics for a 5-DOF parallel kinematic polishing machine. Int. J. Advanced Robotic Sys., DOI: 10.5772/54966

LIU, H.; ZHOU, W.; LAI, X.; ZHU, S. (2013) An efficient inverse kinematic algorithm for a PUMA560-structured robot manipulator. IJARS, DOI: 10.5772/56403

MELO, L. F.; REIS ALVES, S. F.; ROSARIO, J. M. (2012) Mobile robot navigation modelling, control and applications. Int. Rev. Modelling Simulations, n. 5, p. 1059-1068.

MIRSAYAR, M. M.; JONEIDI, V. A.; PETRESCU, R. V.; PETRESCU, F. I. T.; BERTO, F. (2017) Extended MTSN criterion for fracture analysis of soda lime glass, Engineering Fracture Mechanics, v. 178, p. 50–59, ISSN: 0013-7944, http://doi.org/10.1016/j.engfracmech.2017.04.018

PADULA, F.; PERDEREAU, V. (2013) An on-line path planner for industrial manipulators. Int. J. Advanced Robotic Sys.; DOI: 10.5772/55063

PERUMAL, S.; JAWAHAR, N. (2013) Automated trajectory planner of industrial robot for pick-and-place task. IJARS, DOI: 10.5772/53940

PETRESCU, F. I. T. ; PETRESCU, R.V. (2011) Mechanical Systems, Serial and Parallel – Course , n. in Romanian), LULU Publisher, London, UK, 124 pages, ISBN 978-1-4466-0039-9, Romanian edition.

PETRESCU, F. I. T.; PETRESCU, R. V. (2012) Mecatronica-sisteme seriale si paralele. Create Space publisher, USA, ISBN 978-1-4750-6613-5, 128 pages, Romanian edition.

PETRESCU, F. I. T.; APICELLA, A.; RAFFAELLA, A.; PETRESCU, R. V.; CALAUTIT, J. K.; MIRSAYAR, M. M.; ANIELLO, R. (2016b) Something about the Mechanical Moment of Inertia. Am. J. Applied Sci., v. 13, n. 11, p. 1085-1090. DOI: 10.3844/ajassp.2016.1085.1090

PETRESCU, F. I. T.; PETRESCU, R. V. (2016a) Parallel moving mechanical systems kinematics. ENGEVISTA, n. 18, p. 455-491.

PETRESCU, F. I. T.; PETRESCU, R. V. (2016b) Dynamic cinematic to a structure 2R. Revista Geintec-Gestao Inovacao E Tecnologias, n. 6, p. 3143-3154.

PETRESCU, F. I. T.; PETRESCU, R. V. (2014) Parallel Moving Mechanical Systems, IJM&P, v. 5, n. 3, p. 564-580.

PETRESCU, F. I. T. (2012) Teoria Mecanismelor Color: Curs si Aplicatii. 1st Edn.; CreateSpace Publisher, p. 284.

PETRESCU, R. V.; AVERSA, R.; APICELLA, A.; PETRESCU, F. I. T. (2016A) Future medicine services robotics. Am. J. Eng. Applied Sci., n. 9, p. 1062-1087.

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; BUCINELL, R.; CORCHADO, J. (2017a) Modern propulsions for aerospace-a review. J. Aircraft Spacecraft Technol., n. 1, p. 1-8. DOI: 10.3844/jastsp.2017.1.8

PETRESCU, R.V.; AVERSA, R.; AKASH, B.; BUCINELL, R.; CORCHADO, J. (2017b) Modern propulsions for aerospace-part II. J. Aircraft Spacecraft Technol., n. 1, p. 9-17. DOI: 10.3844/jastsp.2017.9.17

PETRESCU, R.V.; AVERSA, R.; AKASH, B.; BUCINELL, R.; CORCHADO, J. (2017C) History of aviation-a short review. J. Aircraft Spacecraft Technol., n. 1, p. 30-49. DOI: 10.3844/jastsp.2017.30.49

PETRESCU, R.V.; AVERSA, R.; AKASH, B.; BUCINELL, R.; CORCHADO, J. (2017d) Lockheed martin-a short review. J. Aircraft Spacecraft Technol., n. 1, p. 50-68. DOI: 10.3844/jastsp.2017.50.68

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; CORCHADO, J.; BERTO, F. (2017e) Our universe. J. Aircraft Spacecraft Technol., n. 1, p. 69-79. DOI: 10.3844/jastsp.2017.69.79

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; CORCHADO, J.; BERTO, F. (2017f) What is a UFO? J. Aircraft Spacecraft Technol., n. 1, p. 80-90. DOI: 10.3844/jastsp.2017.80.90

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; CORCHADO, J.; BERTO, F. (2017g) About bell helicopter FCX-001 concept aircraft-a short review. J. Aircraft Spacecraft Technol., n. 1, p. 91-96. DOI: 10.3844/jastsp.2017.91.96

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; CORCHADO, J.; BERTO, F. (2017h) Home at airbus. J. Aircraft Spacecraft Technol., n. 1, p. 97-118. DOI: 10.3844/jastsp.2017.97.118

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; CORCHADO, J.; BERTO, F. (2017i) Airlander. J. Aircraft Spacecraft Technol., n. 1, p. 119-148. DOI: 10.3844/jastsp.2017.119.148

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; CORCHADO, J.; BERTO, F. (2017j) When boeing is dreaming-a review. J. Aircraft Spacecraft Technol., n. 1, p. 149-161. DOI: 10.3844/jastsp.2017.149.161

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; CORCHADO, J.; BERTO, F. (2017k) About Northrop Grumman. J. Aircraft Spacecraft Technol., n. 1, p. 162-185. DOI: 10.3844/jastsp.2017.162.185

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; CORCHADO, J.; BERTO, F. (2017l) Some special aircraft. J. Aircraft Spacecraft Technol., n. 1, p. 186-203. DOI: 10.3844/jastsp.2017.186.203

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; CORCHADO, J.; BERTO, F. (2017m) About helicopters. J. Aircraft Spacecraft Technol., n. 1, p. 204-223. DOI: 10.3844/jastsp.2017.204.223

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; BERTO, F.; APICELLA, A. (2017n) The modern flight. J. Aircraft Spacecraft Technol., n. 1, p. 224-233. DOI: 10.3844/jastsp.2017.224.233

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; BERTO, F.; APICELLA, A. (2017o) Sustainable energy for aerospace vessels. J. Aircraft Spacecraft Technol., n. 1, p. 234-240. DOI: 10.3844/jastsp.2017.234.240

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; BERTO, F.; APICELLA, A. (2017p) Unmanned helicopters. J. Aircraft Spacecraft Technol., n. 1, p. 241-248. DOI: 10.3844/jastsp.2017.241.248

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; BERTO, F.; APICELLA, A. (2017q) Project HARP. J. Aircraft Spacecraft Technol., n. 1, p. 249-257. DOI: 10.3844/jastsp.2017.249.257

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; BERTO, F.; APICELLA, A. (2017r) Presentation of romanian engineers who contributed to the development of global aeronautics-part I. J. Aircraft Spacecraft Technol., n. 1, p. 258-271. DOI: 10.3844/jastsp.2017.258.271

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; BERTO, F.; APICELLA, A. (2017s) A first-class ticket to the planet mars, please. J. Aircraft Spacecraft Technol., n. 1, p. 272-281. DOI: 10.3844/jastsp.2017.272.281

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; BERTO, F.; APICELLA, A.; PETRESCU, F. I. T. (2017t) Forces of a 3R Robot. J. of Mechatronics and Robotics, v. 1, n. 1, p. 1-14. DOI: 10.3844/jmrsp.2017.1.14

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; BERTO, F.; APICELLA, A.; PETRESCU, F. I. T. (2017u) Direct Geometry and Cinematic to the MP-3R Systems. J. of Mechatronics and Robotics, v. 1, n. 1, p. 15-23. DOI: 10.3844/jmrsp.2017.15.23

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; BERTO, F.; APICELLA, A.; PETRESCU, F. I. T. (2017v. Dynamic Elements at MP3R. J. of Mechatronics and Robotics 1, n. 2, p. 24-37. DOI: 10.3844/jmrsp.2017.24.37

PETRESCU, R. V.; AVERSA, R.; AKASH, B.; BERTO, F.; APICELLA, A.; PETRESCU, F. I. T. (2017w) Geometry and Direct Kinematics to MP3R with 4×4 Operators. J. of Mechatronics and Robotics, v. 1, n. 2, p. 38-46. DOI: 10.3844/jmrsp.2017.38.46

PETRESCU, R. V.; AVERSA, R.; APICELLA, A.; MIRSAYAR, M. M.; KOZAITIS, S.; ABU-LEBDEH, T.; PETRESCU, F. I. T. (2017x) Current Stage in the Field of Mechanisms with Gears and Rods. J. of Mechatronics and Robotics, v. 1, n. 2, p. 47-57. DOI: 10.3844/jmrsp.2017.47.57

PETRESCU, R. V.; AVERSA, R.; APICELLA, A.; MIRSAYAR, M. M.; KOZAITIS, S.; ABU-LEBDEH, T.; PETRESCU, F. I. T. (2017y) Geometry and Inverse Kinematic at the MP3R Mobile Systems. J. of Mechatronics and Robotics, v. 1, n. 2, p. 58-65. DOI: 10.3844/jmrsp.2017.58.65

PETRESCU, R. V.; AVERSA, R.; APICELLA, A.; MIRSAYAR, M. M.; KOZAITIS, S.; ABU-LEBDEH, T.; PETRESCU, F. I. T. (2017z) Synthesis of Optimal Trajectories with Functions Control at the Level of the Kinematic Drive Couplings. J. of Mechatronics and Robotics, v. 1, n. 2, p. 66-74. DOI: 10.3844/jmrsp.2017.66.74

PETRESCU, R. V.; AVERSA, R.; APICELLA, A.; MIRSAYAR, M. M.; KOZAITIS, S.; ABU-LEBDEH, T.; PETRESCU, F. I. T. (2017aa) The Inverse Kinematics of the Plane System 2-3 in a Mechatronic MP2R System, by a Trigonometric Method. J. of Mechatronics and Robotics, v. 1, n. 2, p. 75-87. DOI: 10.3844/jmrsp.2017.75.87

PETRESCU, R. V.; AVERSA, R.; APICELLA, A.; MIRSAYAR, M. M.; KOZAITIS, S.; ABU-LEBDEH, T.; PETRESCU, F. I. T. (2017ab) Serial, Anthropomorphic, Spatial, Mechatronic Systems can be Studied More Simply in a Plan. J. of Mechatronics and Robotics, v. 1, n. 2, p. 88-97. DOI: 10.3844/jmrsp.2017.88.97

PETRESCU, R. V.; AVERSA, R.; APICELLA, A.; MIRSAYAR, M. M.; KOZAITIS, S.; ABU-LEBDEH, T.; PETRESCU, F. I. T. (2017ac) Analysis and Synthesis of Mechanisms with Bars and Gears Used in Robots and Manipulators. J. of Mechatronics and Robotics, v. 1, n. 2, p. 98-108. DOI: 10.3844/jmrsp.2017.98.108

PETRESCU, R. V.; AVERSA, R.; APICELLA, A.; MIRSAYAR, M. M.; KOZAITIS, S.; ABU-LEBDEH, T.; PETRESCU, F. I. T. (2017ad) Speeds and Accelerations in Direct Kinematics to the MP3R Systems. J. of Mechatronics and Robotics, v. 1, n. 2, p. 109-117. DOI: 10.3844/jmrsp.2017.109.117

PETRESCU, R. V.; AVERSA, R.; APICELLA, A.; MIRSAYAR, M. M.; KOZAITIS, S.; ABU-LEBDEH, T.; PETRESCU, F. I. T. (2017ae) Geometry and Determining the Positions of a Plan Transporter Manipulator. J. of Mechatronics and Robotics, v. 1, n. 2, p. 118-126. DOI: 10.3844/jmrsp.2017.118.126

REDDY, P.; SHIHABUDHEEN, K. V.; JACOB, J. (2012) Precise nonlinear modeling of flexible link flexible joint manipulator. IReMoS, n. 5, p. 1368-1374.

TABAKOVIĆ, S.; ZELJKOVIĆ, M.; GATALO, R.; ŽIVKOVIĆ, A. (2013) Program suite for conceptual designing of parallel mechanism-based robots and machine tools. Int. J. Advanced Robotic Sys.; DOI: 10.5772/56633

TANG, X.; SUN, D.; SHAO, Z. (2013) The structure and dimensional design of a reconfigurable PKM. IJARS, DOI: 10.5772/54696

TONG, G.; GU, J.; XIE, W. (2013) Virtual entity-based rapid prototype for design and simulation of humanoid robots. Int. J. Advanced Robotic Sys.; DOI: 10.5772/55936

WANG, K.; LUO, M.; MEI, T.; ZHAO, J.; CAO, Y. (2013) Dynamics analysis of a three-DOF planar serial-parallel mechanism for active dynamic balancing with respect to a given trajectory. Int. J. Advanced Robotic Sys.; DOI: 10.5772/54201

WEN, S.; ZHU, J.; LI, X.; RAD, A.; CHEN, X. (2012) End-point contact force control with quantitative feedback theory for mobile robots. IJARS, DOI: 10.5772/53742

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