Numerical Study Of Ga Ton Board Experiment Via Discrete Element Method Simulation

INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019(2020)

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Abstract
Dalton hoard is an experimental device invented by Francis Dalton in 1873. A particle thrown into the Dalton board moves down due to gravity and bounces off pegs along its path down. Galton claimed it to be a random system, in which each particle has equal probability of moving to the left or right side of each peg it bounces off. It means that the final distribution of particles in the bottom part of the device shall approximate the shape of the binomial curve or Gaussian distribution. In this work, the behaviour of particles when moving through the Galton hoard using the discrete element numerical method was studied. The objective was to verify if the result of the simulation with calibrated input parameters of the contact model shows binomial distribution of particles in the bins in the bottom part of the Gallon board as in the case of real experiments with various constructions and versions of Galton hoards.
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Key words
calton board experiment,numerical study,simulation
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