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Design and Analysis of a Four-Pendulum Omnidirectional Spherical Robot

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Abstract

This paper presents the design, analysis, and comparison of a novel four-pendulum spherical robot. The proposed mechanism rolls omnidirectionally via four tetrahedrally-located pendulums that shift the robot’s center of mass to create rolling torque. The nine dynamic equations of motion are derived via the Lagrangian and nonholonomic constraint equations, and then simulated numerically; results show successful propulsion with expected behaviors. The mechanism is then compared to existing center-of-mass designs in terms of directionality, drive torque arm, and inertia eccentricity. In these regards, the four-pendulum design is a balance of existing designs: it is omnidirectional with eccentricity and torque capability that are in the middle of the range exhibited by existing designs. In addition, the new four-pendulum mechanism has been built and tested as a successful proof-of-concept prototype.

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References

  1. Chase, R., Pandya, A.: A review of active mechanical driving principles of spherical robots. Robotics 1, 3–23 (2012)

    Article  Google Scholar 

  2. Crossley, V.A.: A literature review of the design of spherical rolling robots. Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh (2006)

  3. Armour, R. H., Vincent, J. F. V.: Rolling in nature and robotics: a review. J. Bionic Eng. 3(4), 12, 195–208 (2006)

    Article  Google Scholar 

  4. Seeman, M., Broxvall, M., Saffiotti, A., Wide, P.: An autonomous spherical robot for security tasks. In: IEEE Conference on Computational Intelligence for Homeland Security and Personal Safety (2006)

  5. Hogan, F. R., Forbes, J. R., Barfoot, T. D.: Rolling stability of a power-generating tumbleweed rover. J. Spacecr. Rocket. 51(6), 1895–1906 (2014)

    Article  Google Scholar 

  6. Hernandez, J. D., Barrientos, J., del Cerro, J., Barrientos, A., Sanz, D.: Moisture measurement in crops using spherical robots. Industrial Robot: An International Journal 40(1), 59–66 (2013)

    Article  Google Scholar 

  7. Li, M., Guo, S., Hirata, H., Ishihara, H.: Design and performance evaluation of an amphibious spherical robot. Robot. Auton. Syst. 64, 21–34 (2015)

    Article  Google Scholar 

  8. Michaud, F., Laplante, J. -F., Larouche, H., Duquette, A., Caron, S., Letourneau, D., Masson, P.: Autonomous spherical mobile robot for child-development studies. IEEE Trans. Syst. Man Cybern. 35(4), 471–479 (2005)

    Article  Google Scholar 

  9. Bhattacharya, S., Agrawal, S. K.: Spherical rolling robot: a design and motion planning studies. IEEE Trans. Robot. Autom. 16(6), 835–9 (2000)

    Article  Google Scholar 

  10. Joshi, V. A., Banavar, R. N., Hippalgaonkar, R.: Design and analysis of a spherical mobile robot. Mech. Mach. Theory 45(2), 130–136 (2010)

    Article  MATH  Google Scholar 

  11. Gajamohan, M., Muehlebach, M., Widmer, T., D’Andrea, R.: The Cubli: a reaction wheel based 3D inverted pendulum. In: European Control Conference (2013)

  12. Sugiyama, Y., Shiotsu, A., Yamanaka, M., Hirai, S.: Circular/spherical robots for crawling and jumping. In: IEEE International Conference on Robotics and Automation (2005)

  13. Wait, K. W., Jackson, P. J., Smoot, L. S.: Self locomotion of a spherical rolling robot using a novel deformable pneumatic method. In: IEEE International Conference on Robotics and Automation (2010)

  14. Artusi, M., Potz, M., Aristizabal, J., Menon, C., Cocuzza, S., Debei, S.: Electroactive elastomeric actuators for the implementation of a deformable spherical rover. IEEE/ASME Trans. Mechatron. 16(1), 50–57 (2011)

    Article  Google Scholar 

  15. Lux, J.: Alternative Way of Shifting Mass to Move a Spherical Robot. Tech Rep., NASA’s Jet Propulsion Laboratory, June (2005)

  16. Halme, A., Schonberg, T., Wang, Y.: Motion control of a spherical mobile robot. In: 4Th International Workshop on Advanced Motion Control, pp 259–264 (1996)

  17. Bicchi, A., Balluchi, A., Prattichizzo, D., Gorelli, A.: Introducing the Sphericle: an experimental testbed for research and teaching in Nonholonomy. In: IEEE International Conference on Robotics and Automation, pp 2620–2625 (1997)

  18. Alves, J., Dias, J.: Design and control of a spherical mobile robot. Journal of Systems and Control Engineering 217, 457–467 (2003)

    Google Scholar 

  19. Michaud, F., Caron, S.: Roball, the rolling robot. Auton. Robot. 12(2), 211–222 (2002)

    Article  MATH  Google Scholar 

  20. Schroll, G. C.: Dynamic Model of a Spherical Robot from First Principles. Master’s Thesis, Colorado State University, Summer (2010)

  21. Ghanbari, A., Mahboubi, S., Fakhrabadi, M.: Design, dynamic modeling and simulation of a spherical mobile robot with a novel motion mechanism. In: IEEE/ASME International Conference on Mechatronics and Embedded Systems and Applications (MESA), pp 434– 439 (2010)

  22. Yoon, J. -C., Ahn, S. -S., Lee, Y. -J.: Spherical robot with new type of two-pendulum driving mechanism. In: 15Th IEEE International Conference on Intelligent Engineering Systems (INES), IEEE, pp 275– 279 (2011)

  23. Javadi A., A.H., Mojabi, P.: Introducing glory: a novel strategy for an omnidirectional spherical rolling robot. J. Dyn. Syst. Meas. Control. 126(3), 678– 83 (2004)

    Article  Google Scholar 

  24. Sang, S., Zhao, J., Hao, W., Qi, A.: Modeling and simulation of a spherical mobile robot. Computer Science and Information Systems 7(1) (2010)

  25. Tomik, F., Nudehi, S., Flynn, L. L., Mukherjee, R.: Design, fabrication and control of SpheRobot: a spherical mobile robot. J. Intell. Robot. Syst. 67(2), 117– 131 (2012)

    Article  Google Scholar 

  26. Karadogan, E., Williams, R. L.: The Robotic Lumbar Spine: Dynamics and Feedback Linearization Control. Computational and Mathematical Methods in Medicine , vol. 2013 (2013)

  27. Murray, R., Li, Z., Sastry, S.S.: A Mathematical Introduction to Robotic Manipulation. CRC Press (1994)

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Authors and Affiliations

  1. Central Michigan University, Mount Pleasant, MI, 48859, USA

    Brian P. DeJong, Ernur Karadogan, Kumar Yelamarthi & James Hasbany

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  1. Brian P. DeJong
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  2. Ernur Karadogan
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  3. Kumar Yelamarthi
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  4. James Hasbany
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Correspondence to Brian P. DeJong.

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DeJong, B.P., Karadogan, E., Yelamarthi, K. et al. Design and Analysis of a Four-Pendulum Omnidirectional Spherical Robot. J Intell Robot Syst 86, 3–15 (2017). https://doi.org/10.1007/s10846-016-0414-4

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  • DOI: https://doi.org/10.1007/s10846-016-0414-4

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