Computer simulation of a parallel structure manipulator for determining natural frequencies and oscillation modes
Abstract and keywords
Abstract (English):
The aim of the study is to develop and analyse computer models for determining the natural frequencies and oscillation modes of a planar parallel manipulator using the Universal Mechanism software package. The article is devoted to solving the problem of ensuring vibration resistance of robot manipulators. The novelty of the work lies in developing and analysing a computer model of a planar manipulator, in which solid bodies form joints with the number of freedom degrees in relative motion from 1 to 4; in determining the influence of the mass and link elasticity, as well as the type of kinematic pairs on natural frequencies and oscillation modes. As a result of the study, computer models of a planar manipulator with three degrees of freedom are developed. For these models natural frequencies and vibration modes are determined, the values of natural frequencies are compared with the known analytical solution, the influence of inertial and elastic properties of links, the number of excess links to natural frequencies and oscillation modes are established. The proposed computer model can be used to determine with sufficient accuracy the natural frequencies and oscillation modes of a planar parallel manipulator; a planar manipulator with weightless elastic rods and an elastic drive has six natural oscillation frequencies. Natural forms retain their shape for different values of the inertial and elastic parameters of the links. Oscillations of the platform on these forms in the horizontal and vertical planes are independent. The values of natural frequencies, at which the platform oscillates in the horizontal motion of the mechanism links, depend on the ratio of the drive stiffness coefficients and the bending stiffness of the rods. The values of natural frequencies, at which the platform oscillates in the vertical plane, depend on the bending and torsional stiffness of the rods and on the type of kinematic pairs in the mechanism scheme.

Keywords:
manipulator, parallel structure, computer simulation, vibrations, natural frequencies and modes
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References

1. Kuznetsov N.K., Strelov A.V. Experimental Studies of Elastic Oscillations of an Electromechanical Robot. Bulletin of Irkutsk State Technical University. 2003;3-4(15-16):36-41.

2. Kirsanov M.N., Dai Ts. Dependence of the Natural Vibration Frequency of the Plane Model of the Manipulator Truss on the Number of Panels. Progressive Technologies and Systems of Mechanical Engineering. 2021;1(72):21-26.

3. Rodin I.A., Vasiliev I.A. Studying of Elastic Oscillations’ Natural Frequencies of Manipulators in Case of Their Reconfiguration. Robotics and Technical Cybernetics. 2019;7(1):29-33. doi:https://doi.org/10.31776/RTCJ.7104

4. Maslov A.N. Positioning of the Non-Rigid Link of the Robot-Manipulator, Taking into Account the Restrictions on Control. Bulletin of Moscow Power Engineering Institute. 2011;2:5-9.

5. Ganiev R.F., Glazunov V.A. Handling Mechanisms of Parallel Structure and Their Applications in Modern Equipment. Reports of the Academy of Sciences. 2014;459(4):428. doi:https://doi.org/10.7868/S086956521434009X

6. Kheilo S.V., Shirinkin M.A., Glazunov V.A. Determination of Frequencies of Free Vibrations of the Parallel Structure Manipulator. Proceedings of Higher Educational Institutions. Textile Industry Technology. 2011;4(333):120-124.

7. Heilo S.V. Frequency Criterion of Special Configurations of Parallel Structure Mechanisms. Engineering and Automation Problems. 2013;1:65-71.

8. Nosova N.Yu. Development and Research of Spatial Parallel Structure Mechanisms with Articulated Parallelograms with a Different Number of Freedom Degrees. Candidate of Technical Sciences Dissertation. Moscow: Mechanical Engineering Research Institute of the Russian Academy of Sciences; 2021.

9. Demidov SM, Artemenko YuN, Glazunov VA, et al. Analysis of Dynamic Properties of Parallel Structure Mechanisms. Mechanical Engineering and Engineering Education. 2012;1(30):36-41.

10. Skvortsov S.A., Lysogorsky A.E., Glazunov V.A. Dynamic Analysis of Parallel Structure Mechanism Executing Translational Motions. Proceedings of the South-West State University. Technics and Technologies. 2015;2(15):70-79.

11. Glazunov VA, Kheilo SV, Kostyukov AM. Investigation of Oscillations of the Parallel Structure Mechanism. In: Proceedings of International Conference in 2 Parts: Vibration Technologies, Mechatronics and Controlled Machines; 2016 May 18-20; Kursk: Southwestern State University: 2016. p. 23-28.

12. Song J., Lu Yang, Wang Y., Lu Yi. Stiffness and Elastic Deformation of 4-DoF Parallel Manipulator with Three Asymmetrical Legs for Supporting Helicopter Rotor. Journal of Robotics [Internet]. 2020;2020:1-11. Available from: https://doi.org/10.1155/2020/8571318

13. Antonov A.V., Glazunov V.A. Influence of Elastic Forces on Movement Accuracy of Parallel Manipulator. Extreme Robotics. 2020;1(1):47-55.

14. Pogorelov D.Y. On Numerical Methods of Modelling Large Multibody Systems. Mechanism and Machine Theory. 1999;34(5):791-800. doi:https://doi.org/10.1016/S0094-114X(98)00055-X

15. Pogorelov D.Yu., Tolstosheev A.K., Kovalev R.V. Dynamic Analysis and Synthesis of Mechanisms Using the UM Program. Bryansk: Bryansk State Technical University; 1997.

16. Universal Mechanism 9. User Manual: Getting Started [Internet]. 2021 [cited 2022 Aug 30]. Available from: http://www.universalmechanism.com/download/90/rus/gs_um.pdf

17. Tolstosheev A.K., Tatarintsev V.A. Designing Statically Determinable Mechanisms of Technological Mechatronic Machines with Parallel Kinematics. Mekhatronika, Avtomatizatsiya, Upravlenie. 2019;20(7):428-436. doi:https://doi.org/10.17587/mau.20.428-436

18. Tolstosheev A.K., Tatarintsev V.A. Structural Analysis of Robot Machine Mechanisms with Parallel Kinematics. Bulletin of Bryansk State Technical University. 2017;1(54):33-43. doi:https://doi.org/10.12737/24889

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