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contributor authorVarszegi, Balazs
contributor authorTakacs, Denes
contributor authorStepan, Gabor
date accessioned2017-11-25T07:20:26Z
date available2017-11-25T07:20:26Z
date copyright2017/4/5
date issued2017
identifier issn1555-1415
identifier othercnd_012_05_051014.pdf
identifier urihttp://138.201.223.254:8080/yetl1/handle/yetl/4236445
description abstractA simple mechanical model of the skateboard–skater system is analyzed, in which a linear proportional-derivative (PD) controller with delay is included to mimic the effect of human control. The equations of motion of the nonholonomic system are derived with the help of the Gibbs–Appell method. The linear stability analysis of the rectilinear motion is carried out analytically in closed form. It is shown that how the control gains have to be varied with respect to the speed of the skateboard in order to stabilize the uniform motion. The critical reflex delay of the skater is determined as functions of the speed, position of the skater on the board, and damping of the skateboard suspension system. Based on these, an explanation is given for the experimentally observed dynamic behavior of the skateboard–skater system at high speed.
publisherThe American Society of Mechanical Engineers (ASME)
titleStability of Damped Skateboards Under Human Control
typeJournal Paper
journal volume12
journal issue5
journal titleJournal of Computational and Nonlinear Dynamics
identifier doi10.1115/1.4036482
journal fristpage51014
journal lastpage051014-7
treeJournal of Computational and Nonlinear Dynamics:;2017:;volume( 012 ):;issue: 005
contenttypeFulltext


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