Curling rock dynamics: Towards a realistic model

Abstract

We present a model of curling rock motion, which yields realistic dependence upon the dynamical parameters. The underlying assumptions are motivated by physical arguments. We make clear which of the model predictions depend upon the assumptions made about frictional asymmetry and which are independent of these assumptions. PACS Nos.: 45.20

Dynamics and curl ratio of a curling stone

“…The asymmetric friction coefficient of ice at the front and rear running bands, l q R C l q F , has been noted by Johnston [2], Shegelski et al [3,5], Penner [6] and Denny [7], but none of them could give a reasonable physical mechanism for the occurrence of the asymmetry. Recently, Maeno [11] proposed the evaporation-abrasion model on the basis of the physical consideration of the interaction between the characteristic forms of ice pebbles and running band.…”

“…Unfortunately, however, most of them are neither based on quantitative measurements nor scientific evidence, but are empirical and qualitative. Understanding of the dynamics of a stone on ice is not complete, though it has been the subject of a number of studies [1][2][3][4][5][6][7][8][9][10][11].…”

On the motion of a heavy body with a circular base on a horizontal plane and riddles of curling

“…Исследованию динамики керлинга посвящено значительное число работ, включая [1][2][3][4][5][6][7][8][9]. Отметим следующие результаты.…”

“…При интегральном расчете сил и момента трения распределение нормальной нагрузки считалось постоянным. Денни высказал предположение [7] об изменении условий контакта в процессе дви-жения камня вследствие сбивания «пупырышков». На переднюю часть контактного коль-ца налипает снежная крошка, что приводит к уменьшению коэффициента трения в этих точках.…”

Curly: An AI-based Curling Robot Successfully Competing in the Olympic Discipline of Curling

“…The pebbles change their condition from time to time depending on the temperature, humidity, ice makers, elapsed time since the maintenance ended, amount of sweeping done during the game, etc [Denny, 2002;Nyberg et al, 2013]. That is, when delivering curling stones using the same direction, force and curl, the trajectory of the stones will vary strongly over time.…”