Toppling Dynamics of Regularly Spaced Dominoes in an Array

摘要

This paper studies a new comprehensive model for toppling dynamics of regularly spaced dominoes in an array. The model has unlocked the hypotheses introduced by Stronge and Shu (Stronge, W.J., and Shu, D., 1988, "The Domino Effect: Successive Destabilization by Cooperative Neighbours,"Proc. R. Soc. A, 418(1854), pp. 155-163), which can provide us some essential insights into the mechanism of domino wave. Extensive comparisons are made between the proposed model and the experimental results studied in the existing literature. Our numerical studies show that the existing theoretical models are special cases of the proposed model, and the fluctuation in the waveform of propagation speed observed from experiments was caused by the irregular multiple impacts between colliding dominoes. The influence of physical parameters of domino on the natural speed of toppling dominoes is also considered, and it is found that the coefficients of friction and restitution between colliding dominoes have more effects due to the energy dissipation during impact.