基于非局部Biot理论的平面波作用下饱和地基动力响应

基于非局部Biot理论的平面波作用下饱和地基动力响应

王宁, 丁海滨, 童立红, 蒋亚龙

Dynamic Responses of Saturated Soil Foundation Subjected to Plane Wave Based on Nonlocal-Biot Theory

WANG Ning, DING Haibin, TONG Lihong, JIANG Yalong

表1 系数矩阵表达式

Tab.1 Expression of coefficient matrix

系数	P波	SV波
G₁_i	$k_{αi}^{2}$ ( $k_{αi}^{2}$ τ²-1)(λ_c+μ+ξ_iαM+μcos2θ_αi)	[-1+τ²(k²- $ν_{αi}^{2}$ )][k²(λ_c+αMξ_i)- $ν_{αi}^{2}$ (λ_c+2μ+αMξ_i)]
G₁₃	μ $k_{b}^{2}$ ( $k_{b}^{2}$ τ²-1)sin 2θ_β	-2jkμν_β[-1+τ²(k²- $ν_{b}^{2}$ )]
G₂_i	-μ $k_{αi}^{2}$ ( $k_{αi}^{2}$ τ²-1)sin 2θ_α₁	2jkμν_αi[-1+τ²(k²- $ν_{αi}^{2}$ )]
G₂₃	μ $k_{β}^{2}$ ( $k_{β}^{2}$ τ²-1)cos 2θ_β	μ(k²-k⁴τ²+ $ν_{b}^{2}$ +τ² $ν_{b}^{4}$ )
G₃_i	$k_{αi}^{2}$ M(ξ_i+α)	M(k²- $ν_{α 1}^{2}$ )(α+ξ₁)