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Autobalancing a generalized gravity equilibrator

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Abstract

It is possible to balance a mechanical system in such a way that gravity does not affect the motion. We call these systems gravity equilibrators. Gravity equilibrators find application in areas such as manufacturing, shipping, and mechanical support. Currently, gravity equilibrators have no general means for autobalancing, which is particularly important for applications where a variety of weights may be applied. We present here a general control strategy which increases the usefulness of gravity equilibrators. Experimental results illustrate this improvement in versatility.

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References

  1. Herder JL (2001) Energy-free systems theory, conception, and design of statically balanced spring mechanisms. Ph.D. Dissertation, Delft University of Technology

  2. Agrawal SK, Fattah A (2004) Gravity-balancing of spatial robotic manipulators. Mech Mach Theory 39(12):1331–1344. doi:10.1016/j.mechmachtheory.2004.05.019

    Article  MathSciNet  MATH  Google Scholar 

  3. Rahman T, Ramanathan R, Seliktar R, Harwin W (1995) A simple technique to passively gravity-balance articulated mechanisms. J Mech Des 117(4):655–658. doi:10.1115/1.2826738 (Accessed 11 Dec 2007)

    Article  Google Scholar 

  4. Van Dorsser WD, Barents R, Wisse BM, Herder JL (2007) Gravity-balanced arm support with energy-free adjustment. J Med Devices 1:151–158. doi:10.1115/1.2736400

  5. Barents R, Schenk M, Van Dorsser WD, Wisse BM, Herder JL (2009) Spring-to-spring balancing as energy-free adjustment method in gravity equilibrators. Proc IDETC/CIE 133(6):1–12. doi:10.1115/1.4004101

  6. te Riele FL, Herder JL (2001) Perfect static balance with normal springs. In: Proceedings of the ASME design engineering technical conference, pp 9–12

  7. te Riele FL, Hekman EE, Herder JL (2004) Planar and spatial gravity balancing with normal springs. In: Proceedings of design engineering technical conference and computers and information In engineering conference. 2(28):415–424. doi:10.1115/DETC2004-57164

  8. Donelan JM, Kram R (1997) The effect of reduced gravity on the kinematics of human walking: a test of the dynamic similarity hypothesis for locomotion. J Exp Biol 200:3193–3201

    Google Scholar 

  9. Lu Q, McAvoy J, Ma O (2009) A simulation study of a reduced gravity simulator for simulating human jumping and walking in a reduced-gravity environment. Dyn Syst Control Conf 2:763–770. doi:10.1115/DSCC2009-2629

    Google Scholar 

  10. Paz RA, de Jesus Barajas J, Ma O (2013) Autobalancing control for a reduced gravity simulator. IEEE/ASME international conference on advanced intelligent mechatronics (AIM), pp 405–410. DOI:10.1109/AIM.2013.6584125

  11. Nathan RH (1985) A constant force generation mechanism. J Mech Des 107(4):508–512. doi:10.1115/1.3260755 (Accessed 19 Nov 2009)

    Google Scholar 

  12. Slotine J-JE, Li W (1991) Applied nonlinear control. Prentice-Hall, Englewood Cliffs

    MATH  Google Scholar 

  13. \(\dot{\text{ Z }}\)ak SH (2002) Systems and control. Oxford University Press, Oxford

  14. Dorf RC, Bishop RH (2010) Modern control systems, 12th edn. Prentice-Hall, Englewood Cliffs

    MATH  Google Scholar 

  15. Shigley JE, Mischke CR, Budynas RG (2004) Mechanical engineering design, 7th edn. McGraw-Hill Book Company, New York

    Google Scholar 

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Correspondence to Jose C. Barajas.

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This work was supported by the National Science Foundation, under Grant Number 0960156.

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Barajas, J.C., Paz, R.A. Autobalancing a generalized gravity equilibrator. Int. J. Dynam. Control 4, 515–526 (2016). https://doi.org/10.1007/s40435-015-0173-2

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  • DOI: https://doi.org/10.1007/s40435-015-0173-2

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