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对颗粒物质的有效质量谱及耗散功率进行了数值研究，发现水平和垂直激励下颗粒体系的共振频率fg与体积模量k均随压强P呈分段幂律变化，在高压强下遵循fg∝P1/6，k∝P1/3的规律，在低压强下遵循fg∝P1/4，k∝P1/2的规律.同时，在水平和垂直振动下，颗粒体系品质因子的倒数1/Q随P的变化呈指数衰减.在特定频率和压强下，颗粒体系的平均耗散功率p随振动强度Γ的变化曲线上存在一个特征振动强度Γ*，当ΓΓ*时，颗粒体系表现出类固态行为，平均耗散功率p随振动强度Γ呈幂律标度，p∝Γα（2αΓ >Γ*时，颗粒体系表现出类液态行为，体系的平均耗散功率p随振动强度Γ呈线性变化.由此得到了水平激励下颗粒体系类固体类流体转变的Γ-P相图.
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[3] Bi Z, Sun Q, Jin F, Zhang M 2011 Granular Mat. 13 503
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[8] Sun Q C, Wang G Q, Hu K H 2009 Prog. Nat. Sci. 19 523
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[12] Valenza J, Hsu C J, Ingale R, Gland N, Makse H A, Johnson D L 2009 Phys. Rev. E 80 051304
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[15] Peng Z, Jiang Y M, Liu R, Hou M Y 2013 Acta Phys. Sin. 62 024502 (in Chinese)[彭政, 蒋亦民, 刘锐, 厚美瑛2013物理学报62 024502]
[16] Ansari I H, Alam M 2016 Phys. Rev. E 93 052901
[17] Eshuis P, van der Weele K, van deer Meer D, Lohse D 2005 Phys. Rev. Lett. 95 258001
[18] Eshuis P, van der Weele K, van der Meer D, Bos R, Lohse D 2007 Phys. Fluids 19 123301
[19] Garcimartín A, Pastor J M, Arévalo R, Maza D 2007 Eur. Phys. J. Spec. Top. 146 331
[20] Saluña C, Pöschel T 2000 Eur. Phys. J. E 1 55
[21] 2015 Acta Phys. Sin. 64 044501 (in Chinese)[余田, 张国华, 孙其诚, 赵雪丹, 马文波2015物理学报64 044501]
[22] Xu N 2011 Front. Phys. 6 109
[23] Lastakowski H, Géminard J C, Vidal V 2015 Sci. Rep.-UK 5 13455
[24] Goddard J D 1990 Proc. R. Soc. Lond. A 430 105
-
[1] Lu K Q, Liu J X 2004 Physics 33 629 (in Chinese)[陆坤权, 刘寄星2004物理33 629]
[2] Sun Q, Jin F, Zhou G D 2013 Granular Mat. 15 119
[3] Bi Z, Sun Q, Jin F, Zhang M 2011 Granular Mat. 13 503
[4] Peyneau P E, Roux J N 2008 Phys. Rev. E 78 041307
[5] Majmudar T S, Behringer R P 2005 Nature 435 1079
[6] 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]
[7] Zhou G D, Sun Q C 2013 Powder Technol. 239 115
[8] Sun Q C, Wang G Q, Hu K H 2009 Prog. Nat. Sci. 19 523
[9] Karimi K, Maloney C E 2011 Phys. Rev. Lett. 107 268001
[10] Wortel G H, van Hecke M 2015 Phys. Rev. E 92 040201
[11] Wang P P, Wang W J, Liu C S, Zhu Z G 2009 Rock Soil Mech. 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]
[12] Valenza J, Hsu C J, Ingale R, Gland N, Makse H A, Johnson D L 2009 Phys. Rev. E 80 051304
[13] Hsu C J, Johnson D L, Ingale R A, Valenza J J, Gland N, Makse H A 2009 Phys. Rev. Lett. 102 058001
[14] Valenza J, Johnson D L 2012 Phys. Rev. E 85 041302
[15] Peng Z, Jiang Y M, Liu R, Hou M Y 2013 Acta Phys. Sin. 62 024502 (in Chinese)[彭政, 蒋亦民, 刘锐, 厚美瑛2013物理学报62 024502]
[16] Ansari I H, Alam M 2016 Phys. Rev. E 93 052901
[17] Eshuis P, van der Weele K, van deer Meer D, Lohse D 2005 Phys. Rev. Lett. 95 258001
[18] Eshuis P, van der Weele K, van der Meer D, Bos R, Lohse D 2007 Phys. Fluids 19 123301
[19] Garcimartín A, Pastor J M, Arévalo R, Maza D 2007 Eur. Phys. J. Spec. Top. 146 331
[20] Saluña C, Pöschel T 2000 Eur. Phys. J. E 1 55
[21] 2015 Acta Phys. Sin. 64 044501 (in Chinese)[余田, 张国华, 孙其诚, 赵雪丹, 马文波2015物理学报64 044501]
[22] Xu N 2011 Front. Phys. 6 109
[23] Lastakowski H, Géminard J C, Vidal V 2015 Sci. Rep.-UK 5 13455
[24] Goddard J D 1990 Proc. R. Soc. Lond. A 430 105
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