An Improved Mathematical Model of Galton Board with Velocity-Dependent Restitution

Auni Aslah Mat Daud

    Research output: Contribution to journalArticle

    Abstract

    A Galton board is an instrument invented in 1873 by Francis Galton (1822-1911). It is a box with a glass front and many horizontal nails or pins embedded in the back and a funnel. Galton and many modern statisticians claimed that a lead ball descending to the bottom of the Galton board would display random walk. In this study, a new mathematical model of Galton board is developed, to further improve three very recently proposed models. The novel contribution of this paper is the introduction of the velocity-dependent coefficient of restitution. The developed model is then analyzed using symbolic dynamics. The results of the symbolic dynamics analysis prove that the developed Galton board model does not behave the way Galton envisaged.

    Original languageEnglish
    Article number060901
    Number of pages3
    JournalJournal of Computational and Nonlinear Dynamics
    Volume12
    Issue number6
    DOIs
    Publication statusPublished - 1 Nov 2017

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    Symbolic Dynamics
    Mathematical Model
    Mathematical models
    Dependent
    Coefficient of restitution
    Symbolic Analysis
    Nails
    Dynamic Analysis
    Dynamic analysis
    Random walk
    Ball
    Horizontal
    Lead
    Model
    Glass

    Cite this

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    An Improved Mathematical Model of Galton Board with Velocity-Dependent Restitution. / Mat Daud, Auni Aslah.

    In: Journal of Computational and Nonlinear Dynamics, Vol. 12, No. 6, 060901, 01.11.2017.

    Research output: Contribution to journalArticle

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