管桩作为一种常用的桩基础,在实际工程中被广泛应用,其动力响应分析具有重要研究价值。基于弹性动力学原理和黏弹性饱和土模型,考虑了土骨架的非流动黏性和管桩的横向惯性效应,研究了分数阶黏弹性饱和土中大直径管桩在竖向动载荷作用下...管桩作为一种常用的桩基础,在实际工程中被广泛应用,其动力响应分析具有重要研究价值。基于弹性动力学原理和黏弹性饱和土模型,考虑了土骨架的非流动黏性和管桩的横向惯性效应,研究了分数阶黏弹性饱和土中大直径管桩在竖向动载荷作用下的动力特性。首先,基于Biot动力固结理论和分数阶标准线性固体(fractional-order standard linear solid,简称FSLS)模型,建立了分数阶黏弹性饱和土在柱坐标系下的波动方程。其次,基于Rayleigh-Love杆模型并考虑管桩的横向惯性效应,推导了管桩的桩顶动阻抗解析解答。最后,通过算例分析,研究了分数阶模型参数、管桩横向惯性效应、桩长和土体渗透力对管桩桩顶动阻抗的影响规律。结果表明:饱和土体骨架FSLS模型参数中分数阶数和应变松弛时间的增大以及应力松弛时间的减小都会增大桩顶动阻抗;管桩的横向惯性效应在高频区段对降低桩顶动阻抗尤为明显;缩小管桩外半径和扩大其内半径以及增加桩长,降低土体渗透性均有助于提高桩顶动阻抗。展开更多
劲性复合桩作为一种新型桩基,其动力响应分析具有重要的实际意义。基于弹性动力学理论和三相多孔介质模型,考虑劲性复合桩的特殊结构和非饱和土体骨架的非流动黏性特征,利用理论推导和参数分析,分析了分数阶黏弹性非饱和地基中劲性复合...劲性复合桩作为一种新型桩基,其动力响应分析具有重要的实际意义。基于弹性动力学理论和三相多孔介质模型,考虑劲性复合桩的特殊结构和非饱和土体骨架的非流动黏性特征,利用理论推导和参数分析,分析了分数阶黏弹性非饱和地基中劲性复合桩的纵向振动特性。首先,通过力学平衡推导,建立了劲性复合桩的纵向振动方程,并利用已有的非饱和土体运动控制方程描述桩周土体的动力响应,其中采用分数阶标准线性固体(fractional standard linear solid,简称FSLS)模型表征土体骨架的非流动(频率相关)黏性;然后,经过严格的理论推导,得到了劲性复合桩的桩顶动阻抗解析解答;最后,通过计算案例和参数敏感性分析,讨论了桩和土体参数对劲性复合桩的桩顶动阻抗的影响规律。结果表明:水泥土桩的横截面占比以及桩长的增大均会提高桩顶动阻抗;分数阶数和应变松弛时间的增大以及应力松弛时间的减小均有助于提高桩顶动阻抗;增大土体饱和度或减小土体固有渗透系数亦将提升桩顶动阻抗。展开更多
This paper presents the one-dimensional(1D)viscoelastic consolidation system of saturated clayey soil under continuous drainage boundaries.The fractional-derivative Merchant(FDM)model has been introduced into the cons...This paper presents the one-dimensional(1D)viscoelastic consolidation system of saturated clayey soil under continuous drainage boundaries.The fractional-derivative Merchant(FDM)model has been introduced into the consolidation system to simulate the viscoelasticity.Swartzendruber’s flow law is also introduced to describe the non-Darcian flow characteristics simultaneously.The generalized numerical solution of the 1D consolidation under continuous boundaries is given by the finite difference scheme.Furthermore,to illustrate the effectiveness of the numerical method,two simplified cases are compared against the current analytical and numerical results.Finally,the effects of boundary parameters and model parameters on the viscoelastic consolidation were illustrated and discussed.The results indicated that the boundary parameters have a significant influence on consolidation.The larger the values of boundary parameters,the faster the whole dissipation of the excess pore-water pressure and soils’settlement rate.Fractional-order and viscosity parameter have little effect on consolidation,which are primarily significant in the middle and late consolidation phases.With the increase of the modulus ratio,the whole consolidation process becomes faster.Moreover,considering Swartzendruber’s flow delays the consolidation rate of the soil layer.展开更多
文摘管桩作为一种常用的桩基础,在实际工程中被广泛应用,其动力响应分析具有重要研究价值。基于弹性动力学原理和黏弹性饱和土模型,考虑了土骨架的非流动黏性和管桩的横向惯性效应,研究了分数阶黏弹性饱和土中大直径管桩在竖向动载荷作用下的动力特性。首先,基于Biot动力固结理论和分数阶标准线性固体(fractional-order standard linear solid,简称FSLS)模型,建立了分数阶黏弹性饱和土在柱坐标系下的波动方程。其次,基于Rayleigh-Love杆模型并考虑管桩的横向惯性效应,推导了管桩的桩顶动阻抗解析解答。最后,通过算例分析,研究了分数阶模型参数、管桩横向惯性效应、桩长和土体渗透力对管桩桩顶动阻抗的影响规律。结果表明:饱和土体骨架FSLS模型参数中分数阶数和应变松弛时间的增大以及应力松弛时间的减小都会增大桩顶动阻抗;管桩的横向惯性效应在高频区段对降低桩顶动阻抗尤为明显;缩小管桩外半径和扩大其内半径以及增加桩长,降低土体渗透性均有助于提高桩顶动阻抗。
文摘劲性复合桩作为一种新型桩基,其动力响应分析具有重要的实际意义。基于弹性动力学理论和三相多孔介质模型,考虑劲性复合桩的特殊结构和非饱和土体骨架的非流动黏性特征,利用理论推导和参数分析,分析了分数阶黏弹性非饱和地基中劲性复合桩的纵向振动特性。首先,通过力学平衡推导,建立了劲性复合桩的纵向振动方程,并利用已有的非饱和土体运动控制方程描述桩周土体的动力响应,其中采用分数阶标准线性固体(fractional standard linear solid,简称FSLS)模型表征土体骨架的非流动(频率相关)黏性;然后,经过严格的理论推导,得到了劲性复合桩的桩顶动阻抗解析解答;最后,通过计算案例和参数敏感性分析,讨论了桩和土体参数对劲性复合桩的桩顶动阻抗的影响规律。结果表明:水泥土桩的横截面占比以及桩长的增大均会提高桩顶动阻抗;分数阶数和应变松弛时间的增大以及应力松弛时间的减小均有助于提高桩顶动阻抗;增大土体饱和度或减小土体固有渗透系数亦将提升桩顶动阻抗。
基金Projects(51879104,52078206)supported by the National Natural Science Foundation of China。
文摘This paper presents the one-dimensional(1D)viscoelastic consolidation system of saturated clayey soil under continuous drainage boundaries.The fractional-derivative Merchant(FDM)model has been introduced into the consolidation system to simulate the viscoelasticity.Swartzendruber’s flow law is also introduced to describe the non-Darcian flow characteristics simultaneously.The generalized numerical solution of the 1D consolidation under continuous boundaries is given by the finite difference scheme.Furthermore,to illustrate the effectiveness of the numerical method,two simplified cases are compared against the current analytical and numerical results.Finally,the effects of boundary parameters and model parameters on the viscoelastic consolidation were illustrated and discussed.The results indicated that the boundary parameters have a significant influence on consolidation.The larger the values of boundary parameters,the faster the whole dissipation of the excess pore-water pressure and soils’settlement rate.Fractional-order and viscosity parameter have little effect on consolidation,which are primarily significant in the middle and late consolidation phases.With the increase of the modulus ratio,the whole consolidation process becomes faster.Moreover,considering Swartzendruber’s flow delays the consolidation rate of the soil layer.
