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For a vertically vibrating box filled with Cu grains or glass beads, we study power of dissipating energy of the granular system, by measuring acceleration of the box and force acting on it. It is found that for a given vibrating strength the power displays a wide peak structure centered at several tens Hz as vibrating frequency varies, and for a given frequency its variation with the strength obeys a power law, with an exponent smaller than that of a forced harmonic oscillator model 2. The results are considered to be useful for determining magnitudes of transport coefficients of granular liquids and gases, as well as difference in dissipative energy between their different dynamic patterns.
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Keywords:
- granular matter /
- energy dissipation /
- vertical vibration
[1] Aranson I S Tsimring L S 2006 Rev. Mod. Phys. 78 641
[2] Luck J M, Mehta A 1993 Phys. Rev. E 48 3988
[3] Jiang Z H, Zheng R H, Zhao H F, Wu J 2007 Acta Phys. Sin. 56 3727 (in Chinese) [姜泽辉, 郑瑞华, 赵海发, 吴 晶 2007 56 3727]
[4] Jiang Z H, Li B, Zhao H F, Wang Y Y, Dai Z B 2005 Acta Phys. Sin. 54 1273 (in Chinese) [姜泽辉, 李斌, 赵海发, 王运鹰, 戴智斌 2005 54 1273]
[5] Jiang Z H, Liu X Y, Peng Y J, Li J W 2005 Acta Phys. Sin. 54 5692 (in Chinese) [姜泽辉, 刘新影, 彭雅晶, 李建伟 2005 54 5692]
[6] Jiang Z H, Wang Y Y,Wu J 2006 Acta Phys. Sin. 55 4748 (in Chinese) [姜泽辉, 王运鹰, 吴 晶 2005 55 4748]
[7] Wang W J, Kong X Z, Zhu Z G 2007 Phys. Rev. E 75 041302
[8] Wang P P, Wang W J, Liu C S, Zhu Z G 2009 Rock and Soil Mechanics 30 Supp. 129 (in Chinese) [汪盼盼, 王万景, 刘长松, 朱震刚 2009 岩土力学 30 增刊 129]
[9] Xiong X M, Wang H Y, Zhang J X 2003 Acta Metall. Sin. 39 1223 (in Chinese) [熊小敏, 王海燕, 张进修 2003 金属学报 39 1223]
[10] Zhang J X, Xiong X M 2003 Acta Metall. Sin. 39 1127 (in Chinese) [张进修, 熊小敏 2003 金属学报 39 1127]
[11] Wildman R D, Martin T W, Krouskop P E, Talbot J, Huntley J M, Parker D J 2005 Phys. Rev. E 71 061301
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[1] Aranson I S Tsimring L S 2006 Rev. Mod. Phys. 78 641
[2] Luck J M, Mehta A 1993 Phys. Rev. E 48 3988
[3] Jiang Z H, Zheng R H, Zhao H F, Wu J 2007 Acta Phys. Sin. 56 3727 (in Chinese) [姜泽辉, 郑瑞华, 赵海发, 吴 晶 2007 56 3727]
[4] Jiang Z H, Li B, Zhao H F, Wang Y Y, Dai Z B 2005 Acta Phys. Sin. 54 1273 (in Chinese) [姜泽辉, 李斌, 赵海发, 王运鹰, 戴智斌 2005 54 1273]
[5] Jiang Z H, Liu X Y, Peng Y J, Li J W 2005 Acta Phys. Sin. 54 5692 (in Chinese) [姜泽辉, 刘新影, 彭雅晶, 李建伟 2005 54 5692]
[6] Jiang Z H, Wang Y Y,Wu J 2006 Acta Phys. Sin. 55 4748 (in Chinese) [姜泽辉, 王运鹰, 吴 晶 2005 55 4748]
[7] Wang W J, Kong X Z, Zhu Z G 2007 Phys. Rev. E 75 041302
[8] Wang P P, Wang W J, Liu C S, Zhu Z G 2009 Rock and Soil Mechanics 30 Supp. 129 (in Chinese) [汪盼盼, 王万景, 刘长松, 朱震刚 2009 岩土力学 30 增刊 129]
[9] Xiong X M, Wang H Y, Zhang J X 2003 Acta Metall. Sin. 39 1223 (in Chinese) [熊小敏, 王海燕, 张进修 2003 金属学报 39 1223]
[10] Zhang J X, Xiong X M 2003 Acta Metall. Sin. 39 1127 (in Chinese) [张进修, 熊小敏 2003 金属学报 39 1127]
[11] Wildman R D, Martin T W, Krouskop P E, Talbot J, Huntley J M, Parker D J 2005 Phys. Rev. E 71 061301
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