Toppling dynamics of a mass-varying domino system

Shi, Tengfei; Liu, Yang; Wang, Nannan; Liu, Caishan

doi:10.1007/s11071-019-05324-8

“…All previous investigation did not take into account the dominoes width [3][4][5][6][7][8][9][10][11][12][13][14]. The reason is perhaps that the dominoes width has little influence on the velocity of dominoes toppling motion, the problem is how to justify this statement.…”

Section: Influence Of Dominoes Width and Mass On The Toppling Velocitymentioning

confidence: 99%

“…The domino effect is not only an interesting game but also an important physical phenomena, and often be used to describes some social catastrophe, such as the cascading consequences of research misconduct [1]. The mechanics of domino falling has been studied extensively by number of leading scholars [2][3][4][5][6][7][8][9][10][11][12][13][14]. In 1983, McLachlan et al [4] found a scaling law for the velocity v in the limiting case of dominoes with zero thickness spaced in a straight line.…”

Section: Introductionmentioning

confidence: 99%

“…Shi et al [13] developed a precise numerical model with consideration of multipoint impacts between dominoes. Shi et al [14] studies the toppling dynamics of a mass-varying domino system for which the mass of the domino changes at an exponential rate of its sequence number. Szirtes and Rozsa [6] studied domino by using dimensional analysis [15] for a domino with equal thickness δ, separation λ and height h. Hence the five variables and their dimensions are listed in Table I below:…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Universal Scaling Law for the Velocity of Dominoes Toppling Motion

Sun¹

2020

Preprint

0

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By using directed dimensional analysis and data fitting, an explicit universal scaling law for the velocity of dominoes toppling motion is formulated. The scaling law shows that domino propagational velocity is linearly proportional to the $1/2$ power of domino separation and thickness, and $-1/2$ power of domino height and gravitation. The study also proved that dominoes width and mass have no influence on the domino wave traveling velocity. The scaling law obtained in this Letter is very useful to the dominoes game and will help the domino player to place the dominoes for fast speed and have a quick estimation on the speed without doing complicated multi-bodies dynamical simulation.

show abstract

“…Shi et al [13] developed a precise numerical model with consideration of multipoint impacts between dominoes. Shi et al [14] studies the toppling dynamics of a mass-varying domino system for which the mass of the domino changes at an exponential rate of its sequence number.…”

Section: Introductionmentioning

confidence: 99%

Universal Scaling Law for the Velocity of Dominoes Toppling Motion

Sun¹

2019

Preprint

0

View full text Add to dashboard Cite

By using directed dimensional analysis and data fitting, an explicit universal scaling law for the velocity of dominoes toppling motion is formulated. The scaling law shows that domino propagational velocity is linear proportional to the 3/2 power of domino separation, and -1/2 power of domino height and thickness. The study also proved that dominoes width and mass have no influence to the domino wave traveling velocity.

show abstract

“…The domino effect is not only an interesting game but also an important physical phenomena, and often be used to describes some social catastrophe, such as the cascading consequences of research misconduct [1]. The mechanics of domino falling has been studied extensively by number of leading scholars [2][3][4][5][6][7][8][9][10][11][12][13][14]. In 1983, McLachlan et al [4] found a scaling law for the speed v in the limiting case of dominoes with zero thickness spaced in a straight line.…”

Section: Introductionmentioning

confidence: 99%