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The dynamical analysis of energy decay in one-dimensionalcomposite granular chain

Xia Ji-Hong Liu Chang-Song Wang Ping-Jian Liu Hui Yan Long

The dynamical analysis of energy decay in one-dimensionalcomposite granular chain

Xia Ji-Hong, Liu Chang-Song, Wang Ping-Jian, Liu Hui, Yan Long
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  • The structure transition from compression state to dilation state in both heavy-particle sections gives rise to the crossover of the energy decay in one-dimensional composite granular chain. And the structure transition closely relates to the change in state of motion of heavy grain at both interfaces. The analysis demonstrates that the change in state of motion gives rise to the great difference of reflectivity in both branches, which induces different rates of energy decay of light-particle section in both branches.
    • Funds:
    [1]

    Lu K Q, Liu J X 2004 Phys. 33 629 (in Chinese) [陆坤权、刘寄星 2004 物理 33 629]

    [2]

    Lu K Q, Liu J X 2004 Phys. 33 713 (in Chinese) [陆坤权、刘寄星 2004 物理 33 713]

    [3]

    Li Y C, Zhang Z B, Tu H E, Liu R, Hu H Y, Hou M Y 2009 Acta Phys. Sin. 58 5857 (in Chinese) [李寅阊、张兆部、涂洪恩、刘 锐、胡海云、厚美瑛 2009 物理学报 58 5857]

    [4]

    Jiang Y M, Zheng H P 2008 Acta Phys. Sin. 57 7360 (in Chinese) [蒋亦民、郑鹤鹏 2008 物理学报 57 7360]

    [5]

    Sun Q C, Wang G Q 2008 Acta Phys. Sin. 57 4667 (in Chinese) [孙其诚、王光谦 2008 物理学报 57 4667]

    [6]

    Jaeger H M, Nagel S R, Behringer R P 1996 Rev. Mod. Phys. 68 1259

    [7]

    Nesterenko V F 1984 J. Appl. Mech. Tech. Phys. 5 733

    [8]

    Sen S, Manciu M, Manciu F S 1999 Appl. Phys. Lett. 75 1479

    [9]

    Hong J, Xu A 2002 Appl. Phys. Lett. 81 4868

    [10]

    Rosas A ,Lindenberg K 2004 Phys. Rev. E 69 037601

    [11]

    Daraio C, Nesterenko V F, Herbold E B, Jin S 2005 Phys. Rev. E 72 016603

    [12]

    Job S, Melo F, Sokolow A, Sen S 2005 Phys. Rev. Lett. 94 178002

    [13]

    Vergara L 2005 Phys. Rev. Lett. 95 108002

    [14]

    Melo F, Job S, Santibanez F, Tapia F 2006 Phys. Rev. E 73 041305

    [15]

    Coste C, Falcon E, Fauve S 1997 Phys. Rev. E 56 6104

    [16]

    Daraio C, Nesterenko V F, Herbold E B, Jin S 2006 Phys. Rev. Lett. 96 058002

    [17]

    Nesterenko V F, Daraio C, Herbold E B, Jin S 2005 Phys. Rev. Lett. 95 158702

    [18]

    Manciu M, Sen S, Hurd A J 2000 Phys. Rev. E 63 016614

    [19]

    Manciu F S, Sen S 2002 Phys. Rev. E 66 016616

    [20]

    Hong J 2005 Phys. Rev. Lett. 94 108001

    [21]

    Wang P J, Xia J H, Li Y D, Liu C S 2007 Phys. Rev. E 76 041305

    [22]

    Wang P J, Li Y D, Xia J H, Liu C S 2008 Phys. Rev. E(R) 77 060301

    [23]

    Vergara L 2006 Phys. Rev. E 73 066623

  • [1]

    Lu K Q, Liu J X 2004 Phys. 33 629 (in Chinese) [陆坤权、刘寄星 2004 物理 33 629]

    [2]

    Lu K Q, Liu J X 2004 Phys. 33 713 (in Chinese) [陆坤权、刘寄星 2004 物理 33 713]

    [3]

    Li Y C, Zhang Z B, Tu H E, Liu R, Hu H Y, Hou M Y 2009 Acta Phys. Sin. 58 5857 (in Chinese) [李寅阊、张兆部、涂洪恩、刘 锐、胡海云、厚美瑛 2009 物理学报 58 5857]

    [4]

    Jiang Y M, Zheng H P 2008 Acta Phys. Sin. 57 7360 (in Chinese) [蒋亦民、郑鹤鹏 2008 物理学报 57 7360]

    [5]

    Sun Q C, Wang G Q 2008 Acta Phys. Sin. 57 4667 (in Chinese) [孙其诚、王光谦 2008 物理学报 57 4667]

    [6]

    Jaeger H M, Nagel S R, Behringer R P 1996 Rev. Mod. Phys. 68 1259

    [7]

    Nesterenko V F 1984 J. Appl. Mech. Tech. Phys. 5 733

    [8]

    Sen S, Manciu M, Manciu F S 1999 Appl. Phys. Lett. 75 1479

    [9]

    Hong J, Xu A 2002 Appl. Phys. Lett. 81 4868

    [10]

    Rosas A ,Lindenberg K 2004 Phys. Rev. E 69 037601

    [11]

    Daraio C, Nesterenko V F, Herbold E B, Jin S 2005 Phys. Rev. E 72 016603

    [12]

    Job S, Melo F, Sokolow A, Sen S 2005 Phys. Rev. Lett. 94 178002

    [13]

    Vergara L 2005 Phys. Rev. Lett. 95 108002

    [14]

    Melo F, Job S, Santibanez F, Tapia F 2006 Phys. Rev. E 73 041305

    [15]

    Coste C, Falcon E, Fauve S 1997 Phys. Rev. E 56 6104

    [16]

    Daraio C, Nesterenko V F, Herbold E B, Jin S 2006 Phys. Rev. Lett. 96 058002

    [17]

    Nesterenko V F, Daraio C, Herbold E B, Jin S 2005 Phys. Rev. Lett. 95 158702

    [18]

    Manciu M, Sen S, Hurd A J 2000 Phys. Rev. E 63 016614

    [19]

    Manciu F S, Sen S 2002 Phys. Rev. E 66 016616

    [20]

    Hong J 2005 Phys. Rev. Lett. 94 108001

    [21]

    Wang P J, Xia J H, Li Y D, Liu C S 2007 Phys. Rev. E 76 041305

    [22]

    Wang P J, Li Y D, Xia J H, Liu C S 2008 Phys. Rev. E(R) 77 060301

    [23]

    Vergara L 2006 Phys. Rev. E 73 066623

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  • Received Date:  14 September 2009
  • Accepted Date:  29 March 2010
  • Published Online:  15 January 2011

The dynamical analysis of energy decay in one-dimensionalcomposite granular chain

  • 1. (1)Institute of Solid State Physics, Chinese Academy Sciences, Hefei 230031, China; (2)School of Information & Electronics Engineering,Shandong Institute Of Business and Technology,Yantai 264005,China

Abstract: The structure transition from compression state to dilation state in both heavy-particle sections gives rise to the crossover of the energy decay in one-dimensional composite granular chain. And the structure transition closely relates to the change in state of motion of heavy grain at both interfaces. The analysis demonstrates that the change in state of motion gives rise to the great difference of reflectivity in both branches, which induces different rates of energy decay of light-particle section in both branches.

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