梯度饱和多孔材料中弹性波的截止频率
发布时间：2018-10-16 22:17
【摘要】：基于Biot多孔介质理论,应用WKB(Wentzel-Kramers-Brillouin)法,推导得到SH波和Lamb波在梯度非均匀含液饱和材料中截止频率的解析表达式.求解过程中应用波数趋于零的极限条件,通过简化控制方程,获得平面SH波和P-SV波的截止频率.问题的解答揭示了截止频率与材料的物理力学性质以及非均匀性密切相关.考虑材料参数沿板厚按指数形式变化的饱和多孔板,通过数值算例分析弹性平面波在该类非均质饱和多孔材料中的截止频率变化规律.数值结果表明,截止频率随着板的厚度、孔隙率和非均匀参数及渗透系数的不同均有显著的变化,验证了计算结果满足精确性要求.
[Abstract]:Based on the theory of Biot porous media and WKB (Wentzel-Kramers-Brillouin) method, the analytical expressions of the cutoff frequencies of SH wave and Lamb wave in gradient non-uniform liquid-saturated materials are derived. The cutoff frequency of plane SH wave and P-SV wave is obtained by simplifying the governing equation by applying the limit condition of wave number approaching zero. The solution of the problem reveals that the cutoff frequency is closely related to the physical and mechanical properties and inhomogeneity of the material. Considering the saturated porous plates whose material parameters vary exponentially along the thickness of the plates, the cutoff frequency of elastic plane waves in this kind of heterogeneous saturated porous materials is analyzed by numerical examples. The numerical results show that the cutoff frequency varies significantly with the thickness, porosity, non-uniform parameters and permeability coefficient of the plate, which verifies that the calculation results meet the requirements of accuracy.
【作者单位】： 兰州理工大学土木工程学院;西部土木工程防灾减灾教育部工程研究中心;
【基金】：国家自然科学基金资助项目(51368038;11162008) 甘肃省环保厅科研资助项目(GSEP-2014-23) 甘肃省教育厅研究生导师基金资助项目(1103-07)
【分类号】：O357.3
本文编号：2275795
[Abstract]:Based on the theory of Biot porous media and WKB (Wentzel-Kramers-Brillouin) method, the analytical expressions of the cutoff frequencies of SH wave and Lamb wave in gradient non-uniform liquid-saturated materials are derived. The cutoff frequency of plane SH wave and P-SV wave is obtained by simplifying the governing equation by applying the limit condition of wave number approaching zero. The solution of the problem reveals that the cutoff frequency is closely related to the physical and mechanical properties and inhomogeneity of the material. Considering the saturated porous plates whose material parameters vary exponentially along the thickness of the plates, the cutoff frequency of elastic plane waves in this kind of heterogeneous saturated porous materials is analyzed by numerical examples. The numerical results show that the cutoff frequency varies significantly with the thickness, porosity, non-uniform parameters and permeability coefficient of the plate, which verifies that the calculation results meet the requirements of accuracy.
【作者单位】： 兰州理工大学土木工程学院;西部土木工程防灾减灾教育部工程研究中心;
【基金】：国家自然科学基金资助项目(51368038;11162008) 甘肃省环保厅科研资助项目(GSEP-2014-23) 甘肃省教育厅研究生导师基金资助项目(1103-07)
【分类号】：O357.3
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，本文编号：2275795
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