滨海软土动孔压发展模型核心函数研究
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摘要
动孔压发展模型在滨海相软土动力学性质的研究中非常重要。结合软土动孔压发展的机理,分析了其数学模型的核心函数应具有的基本性质。提出了动孔压半值指数的概念,揭示了指数曲线模型、双曲线模型等传统动孔压模型核心函数的缺陷。根据能量耗散原理,建立了基于微分控制方程的动孔压发展新模型。数学分析表明,两个传统模型的核心函数及其动孔压半值指数均是新模型对应的特例,新模型克服了传统模型的不足,具有更广泛的实用性。
Model of dynamic pore water pressure developing process(DPDP) plays an important role in dynamic behavior study of seashore soft soil.According to mechanism of the DPDP,mathematical property that core function of the DPDP model should possess was analyzed.Concept of half-value pore water pressure index was proposed and employed to reveal the shortcomings of core functions of traditional DPDP models,such as exponent model and hyperbolic model.Based on energy dissipation theory and differential governing equation,a new model of DPDP was established.Mathematical analyses show that the core functions and half-value pore water pressure indexes of the two traditional models are only the simplified expressions of those of the new model,respectively.Finally,validity of the new model was proved.
Model of dynamic pore water pressure developing process(DPDP) plays an important role in dynamic behavior study of seashore soft soil.According to mechanism of the DPDP,mathematical property that core function of the DPDP model should possess was analyzed.Concept of half-value pore water pressure index was proposed and employed to reveal the shortcomings of core functions of traditional DPDP models,such as exponent model and hyperbolic model.Based on energy dissipation theory and differential governing equation,a new model of DPDP was established.Mathematical analyses show that the core functions and half-value pore water pressure indexes of the two traditional models are only the simplified expressions of those of the new model,respectively.Finally,validity of the new model was proved.
引文
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[3]Rayhani1 M,El Naggar1 M.Centrifuge modeling of seismic response of layered soft clay[J].Bulletin of Earthquake Engineering,2007,5(4):571-589.
[4]Xenaki V,Athanasopoulos G.Dynamic response of high-speed ballasted railway tracks[J].Soil Dynamics and Earthquake Engineering,2008,28(2):118-131.
[5]Jiewu Meng.Earthquake ground motion simulation with frequency-dependent soil properties[J].Soil Dynamics and Earthquake Engineering,2007,27(3):234-241.
[6]齐文浩,薄景山.一种新的土体动力模型[J].地震工程与工程振动,2009,29(1):169-174.
[7]曾长女,刘汉龙,周云东.饱和粉土粉粒含量影响的动孔压发展规律试验研究[J].防灾减灾工程学报,2006,26(6):180-184.
[8]张晨明,董秀竹,郭莹,等.波浪荷载作用下砂土变形特性的模拟试验研究[J].地震工程与工程振动,2005,25(2):155-161.
[9]王晓妮,卢廷浩,王伟.土体非线性模型的分段切线模量研究[J].河海大学学报(自然科学版),2006,34(2):204-207
[10]王伟.基于能量耗散原理的土与结构接触面模型研究及应用[D].南京:河海大学,2006.
[11]Duncan J M,Chang C Y.Nonlinear analysis of stress and strain in soils[J].Journal of the Soil Mechanics and Foundations Division,1970,96(5):1629-1653.
[12]王伟,孙斌祥,卢廷浩.公路路堤软土地基工后沉降三参数预估模型[J].中国公路学报,2008,21(2):12-17.
[2]曹宇春,王天龙.上海粉土液化特性及孔压模型的试验研究[J].上海地质,1998,67(3):60-64.
[3]Rayhani1 M,El Naggar1 M.Centrifuge modeling of seismic response of layered soft clay[J].Bulletin of Earthquake Engineering,2007,5(4):571-589.
[4]Xenaki V,Athanasopoulos G.Dynamic response of high-speed ballasted railway tracks[J].Soil Dynamics and Earthquake Engineering,2008,28(2):118-131.
[5]Jiewu Meng.Earthquake ground motion simulation with frequency-dependent soil properties[J].Soil Dynamics and Earthquake Engineering,2007,27(3):234-241.
[6]齐文浩,薄景山.一种新的土体动力模型[J].地震工程与工程振动,2009,29(1):169-174.
[7]曾长女,刘汉龙,周云东.饱和粉土粉粒含量影响的动孔压发展规律试验研究[J].防灾减灾工程学报,2006,26(6):180-184.
[8]张晨明,董秀竹,郭莹,等.波浪荷载作用下砂土变形特性的模拟试验研究[J].地震工程与工程振动,2005,25(2):155-161.
[9]王晓妮,卢廷浩,王伟.土体非线性模型的分段切线模量研究[J].河海大学学报(自然科学版),2006,34(2):204-207
[10]王伟.基于能量耗散原理的土与结构接触面模型研究及应用[D].南京:河海大学,2006.
[11]Duncan J M,Chang C Y.Nonlinear analysis of stress and strain in soils[J].Journal of the Soil Mechanics and Foundations Division,1970,96(5):1629-1653.
[12]王伟,孙斌祥,卢廷浩.公路路堤软土地基工后沉降三参数预估模型[J].中国公路学报,2008,21(2):12-17.
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