CAJ | 학술논문

基于虚土桩模型，对均质黏弹性地基中桩土纵向耦合振动问题进行了研究。首先，假定桩侧土为各向同性的线性黏弹性材料，并考虑土体的竖向波动效应，结合Euler-Bernoulli杆件理论，建立了桩土纵向耦合振动的定解问题；其次，采用分离变量法求解桩侧土纵向振动的控制方程，得到了桩侧土与桩身接触面上的剪切动刚度，将所得的剪切动刚度代入到桩身振动控制方程，采用Laplace变换技术，进一步求得了任意荷载作用下桩顶纵向振动阻抗的解析解。基于所得解，详细讨论了不同桩身设计参数时桩端土厚度对桩顶纵向振动阻抗的影响。最后，将虚土桩模型与其他桩端土支承模型进行了对比研究，结果表明，对虚土桩模型选用合适的材料参数和桩端土厚度，其得到的桩端支承复刚度值介于现有多种模型的计算值之间。
기우허토장모형，대균질점탄성지기중장토종향우합진동문제진행료연구。수선，가정장측토위각향동성적선성점탄성재료，병고필토체적수향파동효응，결합Euler-Bernoulli간건이론，건립료장토종향우합진동적정해문제；기차，채용분리변량법구해장측토종향진동적공제방정，득도료장측토여장신접촉면상적전절동강도，장소득적전절동강도대입도장신진동공제방정，채용Laplace변환기술，진일보구득료임의하재작용하장정종향진동조항적해석해。기우소득해，상세토론료불동장신설계삼수시장단토후도대장정종향진동조항적영향。최후，장허토장모형여기타장단토지승모형진행료대비연구，결과표명，대허토장모형선용합괄적재료삼수화장단토후도，기득도적장단지승복강도치개우현유다충모형적계산치지간。
Based on fictitious soil pile model,the vertical dynamic response of pile embedded in homogeneous viscoelastic soil was investigated.Assuming the surrounding soil of pile to be isotropic viscoelastic material and considering its vertical wave effect,the definite problem of soil-pile system subjected to arbitrary dynamic force was established based on the Euler-Bernoulli rod theory.The shear dynamic stiffness at the interface of soil and pile was derived by means of separation of variables to solve the governing equation of surrounding soil.Substituting the shear dynamic stiffness acquired into the governing equation of pile,the analytical solution of vertical dynamic impedance was deduced by virtue of Laplace transform technique.Based on the obtained solution,the influence of depth of pile end soil on the vertical dynamic impedance was studied in detail with different design parameters of pile.Constrast analysis was made between the fictitious soil pile model and other pile end soil supporting models.It is shown that the complex supporting stiffness calculated by fictitious soil pile model is in the middle of the supporting stiffnesses calculated by other existing models if adopting appropriate material parameters and proper depth of pile end soil in the fictitious soil pile model.