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    Stability of Damped Skateboards Under Human Control

    Source: Journal of Computational and Nonlinear Dynamics:;2017:;volume( 012 ):;issue: 005::page 51014
    Author:
    Varszegi, Balazs
    ,
    Takacs, Denes
    ,
    Stepan, Gabor
    DOI: 10.1115/1.4036482
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A 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.
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      Stability of Damped Skateboards Under Human Control

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4236445
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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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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian