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Study on effects of spinal joint for running quadruped robots

  • Luong Tin Phan
  • Yoon Haeng Lee
  • Young Hun Lee
  • Hyunyong Lee
  • Hansol Kang
  • Hyouk Ryeol ChoiEmail author
Original Research Paper
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Abstract

Most legged animals use their flexible body and supporting muscles to produce power for their locomotion, resulting in superior mobility and fast motions. In reality, an animal body consists of multiple bones and joints as well as legs having two or three segments with mass and inertia. In this paper, we study the bounding locomotion of a quadruped robot with a model closer to a real animal, i.e., a model that has one spinal joint, multiple two-segmented prismatic legs with masses and series elastic actuators, to obtain an insight into the robot’s dynamic behaviors. The models with passive mechanical properties are optimized with open-loop control to achieve the periodic bounding gait. The effects of spine flexibility in a segmented body are investigated on quadrupedal bounding gait by changing dynamic properties and hardware parameters. Comparisons of models reveal that body flexibility affects energy consumption and increases leg recirculation and stride length. The cost of transport of the articulated spine models is smaller than that of the rigid body one at low speed (\(< 0.45\sqrt{gl_0}\)) and bigger at high speed (\(>0.45\sqrt{gl_0}\)). The stride length increases 25%. Furthermore, the study on location of spinal joint reveals that the asymmetric segmented body possesses bigger spine oscillation; up to 370% higher actuator force/torque in the rear leg but 36.1% smaller in the front leg; shorter stride period; and smaller cost of transport which helps the robot to run more efficiently. The study also shows that the asymmetric mass distribution of the body caused the torque/force increase at the rear leg, especially at hip joint, and the decrease at the front leg.

Keywords

Legged robots Quadrupeds Periodic bounding Planar models Locomotion 

Notes

Acknowledgements

This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No.2014R1A2A2A01005241).

References

  1. 1.
    Raibert MH (1986) Legged robots that balance. MIT Press, CambridgeCrossRefGoogle Scholar
  2. 2.
    Poulakakis I (2006) On the stability of the passive dynamics of quadrupedal running with a bounding gait. Int J Robot Res 25(7):669–687CrossRefGoogle Scholar
  3. 3.
    Fukuoka Y, Kimura H, Cohen AH (2003) Adaptive running of a quadruped robot on irregular terrain based on biological concepts. Int J Robot Res 2(3):187–202CrossRefGoogle Scholar
  4. 4.
    BostonDynamics, BigDog Overview (2010)Google Scholar
  5. 5.
    Boston Dynamics, Introducing Spot (2015). https://www.youtube.com/watch?v=M8YjvHYbZ9w
  6. 6.
    Lee YH, Lee YH, Lee H, Phan LT, Kang H et al (2017) Trajectory design and control of quadruped robot for trotting over obstacles. In: IEEE/RSJ international conference on intelligent robots and systems, pp 4897–4902Google Scholar
  7. 7.
    Boszczyk BM, Boszczyk AA, Putz R (2001) Comparative and functional anatomy of the mammalian lumbar spine. Anat Rec 264(2):157–168CrossRefGoogle Scholar
  8. 8.
    Heglund NC, Taylor CR (1988) Speed, stride frequency and energy cost per stride: how do they change with body size and gait? J Exp Biol 138(1):301–318Google Scholar
  9. 9.
    Hildebrand M (1959) Motions of the running cheetah and horse. J Mammal 40(4):481–495CrossRefGoogle Scholar
  10. 10.
    Schilling N, Hackert R (2006) Sagittal spine movements of small therian mammals during asymmetrical gaits. J Exp Biol 209(Pt 19):3925–3939CrossRefGoogle Scholar
  11. 11.
    Alexander RM (1984) The gaits of bipedal and quadrupedal animals. Int J Robot Res 3(2):49–59CrossRefGoogle Scholar
  12. 12.
    Leeser KF, Raibert M (1996) Locomotion experiments on a planar quadruped robot with articulated spine by locomotion experiments on a planar quadruped robot with. Master’s Thesis, Massachusetts Institute of TechnologyGoogle Scholar
  13. 13.
    Seok S, Wang A, Otten D, Lang J, Kim S (2013) Design principles for highly efficient quadrupeds and implementation on the MIT Cheetah robot. In: IEEE international conference on robotics and automation, pp 3307–3312Google Scholar
  14. 14.
    Boston Dynamics, Cheetah-Fastest Legged Robot (2012). http://www.bostondynamics.com/
  15. 15.
    Boston Dynamics, Introducing Wildcat (2013). https://youtu.be/wE3fmFTtP9g
  16. 16.
    Duperret JM, Pusey GDKJL, Koditschek DE (2014) Towards a comparative measure of legged agility. In: International symposium on experimental roboticsGoogle Scholar
  17. 17.
    Nanua P (1992) Dynamics of a galloping quadruped. Ph.D. dissertation, Ohio State UniversityGoogle Scholar
  18. 18.
    Culha U, Saranli U (2011) Quadrupedal bounding with an actuated spinal joint. In: IEEE international conference on robotics and automation, pp 1392–1397Google Scholar
  19. 19.
    Pouya S, Khodabakhsh M, Moeckel R, Ijspeert AJ (2012) Role of spine compliance and actuation in the bounding performance of quadruped robots. In: Proceedings of the dynamic walking conferenceGoogle Scholar
  20. 20.
    Cao Q, Poulakakis I (2013) Passive stability and control of quadrupedal bounding with a flexible torso. In: IEEE/RSJ international conference on intelligent robots and systems, pp 6037–6043Google Scholar
  21. 21.
    Deng Q, Wang S, Xu W, Mo J, Liang Q (2012) Quasi passive bounding of a quadruped model with articulated spine. Mech Mach Theory 52:232–242CrossRefGoogle Scholar
  22. 22.
    Yamasaki R, Ambe Y, Aoi S, Matsuno F (2013) Quadrupedal bounding with spring-damper body joint. In: IEEE/RSJ international conference on intelligent robots and systems, pp 2345–2350Google Scholar
  23. 23.
    Cao Q, Poulakakis I (2015) On the energetics of quadrupedal running: predicting the metabolic cost of transport via a flexible-torso model. Bioinspiration Biomim 5:232–242Google Scholar
  24. 24.
    Rummel J, Seyfarth A (2008) Stable running with segmented legs. Int J Robot Res 27(8):919–934CrossRefGoogle Scholar
  25. 25.
    Koutsoukis K, Papadopoulos E (2016) On passive quadrupedal bounding with translational spinal joint. In: IEEE/RSJ international conference on intelligent robots and systems, pp 3406–3411Google Scholar
  26. 26.
    Fisher C, Shield S, Patel A (2017) The effect of spine morphology on rapid acceleration in quadruped robots. In: IEEE/RSJ international conference on intelligent robots and systems, pp 2121–2127Google Scholar
  27. 27.
    Alexander RM, Jayes AS, Ker RF (1980) Estimates of energy cost for quadruped running gaits. J Zool Lond 190:155–192CrossRefGoogle Scholar
  28. 28.
    Schmiedeler JP, Waldron KJ (1999) The mechanics of quadrupedal galloping and the future of legged vehicles. Int J Robot Res 18(12):1224–1234CrossRefGoogle Scholar
  29. 29.
    Zou H, Schmiedeler JP (2006) The effect of asymmetrical body-mass distribution on the stability and dynamics of quadruped bounding. IEEE Trans Robot 22(4):711–723CrossRefGoogle Scholar
  30. 30.
    Phan LT, Lee YH, Kim DY, Lee H, Choi HR (2016) Hybrid Quadruped Bounding with a passive compliant spine and asymmetric segmented body. In: IEEE/RSJ international conference on intelligent robots and systems, pp 3387–3392Google Scholar
  31. 31.
    Phan LT, Lee YH, Lee YH, Lee H, Choi HR (2017) Study on quadruped bounding with a passive compliant spine. In: IEEE/RSJ international conference on intelligent robots and systems, pp 3387–3392Google Scholar
  32. 32.
    Remy CD, Buffinton K, Siegwart R (2011) A MATLAB framework for efficient gait creation. In: IEEE/RSJ international conference on intelligent robots and systems, pp 190–196Google Scholar
  33. 33.
    Alexander RM (1990) Three uses for springs in legged locomotion. Int J Robot Res 9(2):53–61CrossRefGoogle Scholar
  34. 34.
    Pratt Gill A, Williamson Matthew M (1995) Series elastic actuators. In: Proceedings 1995 IEEE/RSJ international workshop on intelligent robots and systems (IROS), pp 399–406Google Scholar
  35. 35.
    Brown TG (1911) Studies in the physiology of the nervous system. VIII. Neural balance and reflex reversal, with a note on progression in the decerebrate Guine-Pig. Exp Physiol 4:273–288CrossRefGoogle Scholar
  36. 36.
    Cao Q, Poulakakis I (2014) On the energetics of quadrupedal bounding with and without torso compliance. In: IEEE international conference on intelligent robots and systems, Chicago, USA, pp 4901–4906Google Scholar
  37. 37.
    Mares MA (1999) Encyclopedia of deserts. University of Oklahoma Press, Norman, p 111Google Scholar
  38. 38.
    Hoyt DF, Taylor CR (1981) Gait and the energetics of locomotion in horses. Nature 292(5820):239–240CrossRefGoogle Scholar
  39. 39.
    Xi W, Yesilevskiy Y, Remy CD (2015) Selecting gaits for economical locomotion of legged robots. Int J Robot Res 35(9):1140–1154CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Luong Tin Phan
    • 1
  • Yoon Haeng Lee
    • 1
  • Young Hun Lee
    • 1
  • Hyunyong Lee
    • 1
  • Hansol Kang
    • 1
  • Hyouk Ryeol Choi
    • 1
    Email author
  1. 1.School of Mechanical EngineeringSungkyunkwan UniversitySuwonKorea

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