%0 Journal Article
%A XIAO Yue
%A XIAO Yue
%A ZENG Fanlin
%A ZENG Fanlin
%T MOTION OF A HANGING CHAIN AFTER AN INITIAL HORIZONTAL IMPACT AT THE FREE END
%D 2014
%R 10.6052/1000-0879-13-085
%J Mechanics in Engineering
%P 337-340
%V 36
%N 3
%X The transient response of a hanging chain after an initial impact at the free end, is not only an interesting mathematical problem, but also has a certain engineering application. In the theoretical frame of the Lagrange dynamics differential equation, the dynamic response of a hanging chain under the impact of a horizontal impulse-momentum *S* is analyzed by using the second kind Lagrange's equations under a generalized impulse-momentum, and a general solution is obtained to compute the angular velocity of each segment. This method can be used conveniently to obtain the transient response of a hanging chain with several segments and in different initial conditions.
%U http://lxsj.cstam.org.cn/EN/10.6052/1000-0879-13-085