Gushing metal chain  

作　　者：Alexander BELYAEV Alexander SUKHANOV Alexander TSVETKOV 

机构地区：[1]Institute of Applied Mathematics and Mechanics, Saint-Petersburg Polytechnic University, St. Petersburg 195251, Russia

出　　处：《Frontiers of Mechanical Engineering》2016年第1期95-100,共6页机械工程前沿（英文版）

摘　　要：This article addresses the problem in which a chain falls from a glass from some height. This phenomenon demonstrates a paradoxical rise of the chain over the glass. To explain this effect, an initial hypothesis and an appropriate theory are proposed for calculating the steady fall parameters of the chain. For this purpose, the modified Cayley ＇s problem of falling chain given its rise due to the centrifugal force of upward inertia is solved. Results show that the lift caused by an increase in linear density at the part of chain where it is being bent （the upper part） is due to the convergence of the chain balls to one another. The experiments confirm the obtained estimates of the lifting chain.This article addresses the problem in which a chain falls from a glass from some height. This phenomenon demonstrates a paradoxical rise of the chain over the glass. To explain this effect, an initial hypothesis and an appropriate theory are proposed for calculating the steady fall parameters of the chain. For this purpose, the modified Cayley ＇s problem of falling chain given its rise due to the centrifugal force of upward inertia is solved. Results show that the lift caused by an increase in linear density at the part of chain where it is being bent （the upper part） is due to the convergence of the chain balls to one another. The experiments confirm the obtained estimates of the lifting chain.

关 键 词：CHAIN FOUNTAIN Meshchersky equation Cayley＇s problem 

分 类 号：O157.5[理学—数学] TH714.52[理学—基础数学]