In a series of papers, Chang et al. proved and experimentally demonstrated a phenomenon in underactuated mechanical systems, that they termed “damping-induced self-recovery.” This paper further investigates a few features observed in these demonstrated experiments and provides additional theoretical interpretation for the same. In particular, we present a model for the infinite-dimensional fluid–stool–wheel system, that approximates its dynamics to that of the better understood finite dimensional case, and comment on the effect of the intervening fluid on the large amplitude oscillations observed in the bicycle wheel–stool experiment.
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Technical Brief
References
1.
Ruina
, A.
, 2010
, “Dynamic Walking 2010: Cats, Astronauts, Trucks, Bikes, Arrows, and Muscle-Smarts: Stability, Translation, and Rotation
,” Massachusetts Institute of Technology, Cambridge, MA, Dec. 11, 2018, http://robots.ihmc.us/dynamicwalking2018/2.
Chang
, D. E.
, and Jeon
, S.
, 2013
, “Damping-Induced Self Recovery Phenomenon in Mechanical Systems With an Unactuated Cyclic Variable
,” ASME J. Dyn. Syst. Meas. Control
, 135
(2
), p. 021011
.3.
Chang
, D. E.
, and Jeon
, S.
, 2013
, “On the Damping-Induced Self-Recovery Phenomenon in Mechanical Systems With Several Unactuated Cyclic Variables
,” J. Nonlinear Sci.
, 23
(6
), pp. 1023
–1038
.4.
Chang
, D. E.
, and Jeon
, S.
, 2013
, “On the Self-Recovery Phenomenon in the Process of Diffusion
,” eprint arXiv:1305.6658
.https://arxiv.org/abs/1305.66585.
Chang
, D. E.
, and Jeon
, S.
, 2015
, “On the Self-Recovery Phenomenon for a Cylindrical Rigid Body Rotating in an Incompressible Viscous Fluid
,” ASME J. Dyn. Syst. Meas. Control
, 137
(2
), p. 021005
.6.
Landau
, L. D.
, and Lifshitz
, E. M.
, 1959
, Fluid Mechanics
, Vol. 6
, Elsevier, Amsterdam, The Netherlands.7.
Farlow
, S. J.
, 1993
, Partial Differential Equations for Scientists and Engineers
, Courier Corporation
, Chelmsford, MA.Copyright © 2019 by ASME
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