Dissipative shocks in a chain fountain.

作者: Epifanio G. Virga

DOI: 10.1103/PHYSREVE.89.053201

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摘要: The fascinating and anomalous behavior of a chain that instead falling straight down under gravity, first rises then falls, acquiring steady shape in space resembles fountain's spray, has recently attracted both popular academic interest. paper presents complete mathematical solution this problem, whose distinctive feature is the introduction number dissipative shocks can be resolved exactly.

参考文章(16)
Anoop Grewal, Phillip Johnson, Andy Ruina, A chain that speeds up, rather than slows, due to collisions: How compression can cause tension American Journal of Physics. ,vol. 79, pp. 723- 729 ,(2011) , 10.1119/1.3583481
W. Steiner, H. Troger, On the equations of motion of the folded inextensible string Zeitschrift für Angewandte Mathematik und Physik. ,vol. 46, pp. 960- 970 ,(1995) , 10.1007/BF00917880
On a Class of Dynamical Problems Proceedings of The Royal Society of London. ,vol. 8, pp. 506- 511 ,(1856) , 10.1098/RSPL.1856.0133
A. E. Green, P. M. Naghdi, A derivation of jump condition for entropy in thermomechanics Journal of Elasticity. ,vol. 8, pp. 179- 182 ,(1978) , 10.1007/BF00052481
Oliver M. O'Reilly, Peter C. Varadi, A treatment of shocks in one-dimensional thermomechanical media Continuum Mechanics and Thermodynamics. ,vol. 11, pp. 339- 352 ,(1999) , 10.1007/S001610050116
A.E. Green, P.M. Naghdi, On thermal effects in the theory of rods International Journal of Solids and Structures. ,vol. 15, pp. 829- 853 ,(1979) , 10.1016/0020-7683(79)90053-2
A. E. Green, P. M. Naghdi, A Note on Thermodynamics of Constrained Materials Journal of Applied Mechanics. ,vol. 44, pp. 787- 788 ,(1977) , 10.1115/1.3424183
E. E. Zajac, Dynamics and Kinematics of the Laying and Recovery of Submarine Cable Bell System Technical Journal. ,vol. 36, pp. 1129- 1207 ,(1957) , 10.1002/J.1538-7305.1957.TB01505.X
On thermodynamics and the nature of the second law Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 357, pp. 253- 270 ,(1977) , 10.1098/RSPA.1977.0166