All

›› 2014, Vol. 36 ›› Issue (3): 337-340.doi: 10.6052/1000-0879-13-085

• Applied Research • Previous Articles     Next Articles

MOTION OF A HANGING CHAIN AFTER AN INITIAL HORIZONTAL IMPACT AT THE FREE END

XIAO Yue, ZENG Fanlin   

  1. Department of Astronautic Science and Mechanics, Harbin Institute of Technology, Harbin 150001, China
  • Received:2013-03-22 Revised:2013-05-16 Online:2014-06-08 Published:2014-06-10

Abstract: 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.

Key words: hanging chain|Lagrange equations|generalized impulse-momentum|transient response

CLC Number: 

  • O311.1