【摘要】：基于Biot多孔介質(zhì)理論,應(yīng)用WKB(Wentzel-Kramers-Brillouin)法,推導(dǎo)得到SH波和Lamb波在梯度非均勻含液飽和材料中截止頻率的解析表達(dá)式.求解過程中應(yīng)用波數(shù)趨于零的極限條件,通過簡(jiǎn)化控制方程,獲得平面SH波和P-SV波的截止頻率.問題的解答揭示了截止頻率與材料的物理力學(xué)性質(zhì)以及非均勻性密切相關(guān).考慮材料參數(shù)沿板厚按指數(shù)形式變化的飽和多孔板,通過數(shù)值算例分析彈性平面波在該類非均質(zhì)飽和多孔材料中的截止頻率變化規(guī)律.數(shù)值結(jié)果表明,截止頻率隨著板的厚度、孔隙率和非均勻參數(shù)及滲透系數(shù)的不同均有顯著的變化,驗(yàn)證了計(jì)算結(jié)果滿足精確性要求.
[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.
【作者單位】： 蘭州理工大學(xué)土木工程學(xué)院;西部土木工程防災(zāi)減災(zāi)教育部工程研究中心;
【基金】：國(guó)家自然科學(xué)基金資助項(xiàng)目(51368038;11162008) 甘肅省環(huán)保廳科研資助項(xiàng)目(GSEP-2014-23) 甘肅省教育廳研究生導(dǎo)師基金資助項(xiàng)目(1103-07)
【分類號(hào)】：O357.3

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1 王惠明;鮑亦興;陳云敏;;自由-固定邊界板的導(dǎo)波[J];浙江大學(xué)學(xué)報(bào)(工學(xué)版);2006年02期

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