Scaling law for velocity of domino toppling motion in curved paths

The arranged paths of dominoes have many shapes. The scaling law for the propagation speed of domino toppling has been extensively investigated. However, in all previous investigations the scaling law for the velocity of domino toppling motion in curved lines was not taken into account. In this stud...

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Autores principales:	Song Guangkai, Guo Xiaolin, Sun Bohua
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	domino toppling motion scaling law velocity curved paths Physics QC1-999
Acceso en línea:	https://doaj.org/article/4ed36e813cb7405cad2055acc87f6c36
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id	oai:doaj.org-article:4ed36e813cb7405cad2055acc87f6c36
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spelling	oai:doaj.org-article:4ed36e813cb7405cad2055acc87f6c362021-12-05T14:11:02ZScaling law for velocity of domino toppling motion in curved paths2391-547110.1515/phys-2021-0049https://doaj.org/article/4ed36e813cb7405cad2055acc87f6c362021-07-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0049https://doaj.org/toc/2391-5471The arranged paths of dominoes have many shapes. The scaling law for the propagation speed of domino toppling has been extensively investigated. However, in all previous investigations the scaling law for the velocity of domino toppling motion in curved lines was not taken into account. In this study, the finite-element analysis (FEA) program ABAQUS was used to discuss the scaling law for the propagation speed of domino toppling motion in curved lines. It is shown that the domino propagation speed has a rising trend with increasing domino spacing in a straight line. It is also found that domino propagation speed is linearly proportional to the square root of domino separation. This research proved that the scaling law for the speed of domino toppling motion given by Sun [Scaling law for the propagation speed of domino toppling. AIP Adv. 2020;10(9):095124] is true. Moreover, the shape of domino arrangement paths has no influence on the scaling law for the propagation speed of dominoes, but can affect the coefficient of the scaling law for the velocity. Therefore, the amendatory function for the propagation speed of dominoes in curved lines was formulated by the FEA data. On one hand, the fitted amendatory function, φrevise{\varphi }_{{\rm{revise}}}, provides the simple method for a domino player to quickly estimate the propagation speed of dominoes in curved lines; on the other hand, it is the rationale for the study of the domino effect.Song GuangkaiGuo XiaolinSun BohuaDe Gruyterarticledominotoppling motionscaling lawvelocitycurved pathsPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 426-433 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	domino toppling motion scaling law velocity curved paths Physics QC1-999
spellingShingle	domino toppling motion scaling law velocity curved paths Physics QC1-999 Song Guangkai Guo Xiaolin Sun Bohua Scaling law for velocity of domino toppling motion in curved paths
description	The arranged paths of dominoes have many shapes. The scaling law for the propagation speed of domino toppling has been extensively investigated. However, in all previous investigations the scaling law for the velocity of domino toppling motion in curved lines was not taken into account. In this study, the finite-element analysis (FEA) program ABAQUS was used to discuss the scaling law for the propagation speed of domino toppling motion in curved lines. It is shown that the domino propagation speed has a rising trend with increasing domino spacing in a straight line. It is also found that domino propagation speed is linearly proportional to the square root of domino separation. This research proved that the scaling law for the speed of domino toppling motion given by Sun [Scaling law for the propagation speed of domino toppling. AIP Adv. 2020;10(9):095124] is true. Moreover, the shape of domino arrangement paths has no influence on the scaling law for the propagation speed of dominoes, but can affect the coefficient of the scaling law for the velocity. Therefore, the amendatory function for the propagation speed of dominoes in curved lines was formulated by the FEA data. On one hand, the fitted amendatory function, φrevise{\varphi }_{{\rm{revise}}}, provides the simple method for a domino player to quickly estimate the propagation speed of dominoes in curved lines; on the other hand, it is the rationale for the study of the domino effect.
format	article
author	Song Guangkai Guo Xiaolin Sun Bohua
author_facet	Song Guangkai Guo Xiaolin Sun Bohua
author_sort	Song Guangkai
title	Scaling law for velocity of domino toppling motion in curved paths
title_short	Scaling law for velocity of domino toppling motion in curved paths
title_full	Scaling law for velocity of domino toppling motion in curved paths
title_fullStr	Scaling law for velocity of domino toppling motion in curved paths
title_full_unstemmed	Scaling law for velocity of domino toppling motion in curved paths
title_sort	scaling law for velocity of domino toppling motion in curved paths
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/4ed36e813cb7405cad2055acc87f6c36
work_keys_str_mv	AT songguangkai scalinglawforvelocityofdominotopplingmotionincurvedpaths AT guoxiaolin scalinglawforvelocityofdominotopplingmotionincurvedpaths AT sunbohua scalinglawforvelocityofdominotopplingmotionincurvedpaths
_version_	1718371472964059136

Scaling law for velocity of domino toppling motion in curved paths

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