CAJ | 학술논문

基于三相多孔介质波动方程，考虑孔隙中水和空气两种不相混溶流体间的耦合效应，通过算子分解和分离变量法，在求得轴对称条件下非饱和自由场波动域解答的基础上，结合上下区域的连续性条件以及桩端Winkler弹性支承假定，通过求解桩的振动微分方程，对部分埋入弹性支承桩在竖向稳态谐振作用下的频域响应进行了理论推导，获得了桩顶阻抗函数的封闭解。通过对比饱和条件下完全埋入桩的桩顶复阻抗曲线，发现该退化解与已有的边界元法和虚拟桩法的结果基本吻合，验证了解答的正确性。参数分析结果表明：桩顶复刚度随自由段桩长的增加而大幅降低，孔隙水的参与作用仅在接近完全饱和时才得以发挥，而饱和度和土底反力系数的影响较为有限。
기우삼상다공개질파동방정，고필공극중수화공기량충불상혼용류체간적우합효응，통과산자분해화분리변량법，재구득축대칭조건하비포화자유장파동역해답적기출상，결합상하구역적련속성조건이급장단Winkler탄성지승가정，통과구해장적진동미분방정，대부분매입탄성지승장재수향은태해진작용하적빈역향응진행료이론추도，획득료장정조항함수적봉폐해。통과대비포화조건하완전매입장적장정복조항곡선，발현해퇴화해여이유적변계원법화허의장법적결과기본문합，험증료해답적정학성。삼수분석결과표명：장정복강도수자유단장장적증가이대폭강저，공극수적삼여작용부재접근완전포화시재득이발휘，이포화도화토저반력계수적영향교위유한。
In this paper, first, the motion response of unsaturated free field under symmetrical condition is obtained via operator splitting and variable separation , in which the wave equation of three-phase porous media and the cou-pling of two immiscible fluids ( namely water and air ) filled in pores are taken into consideration .Then, on the ba-sis of the continuity condition of upper and lower regions as well as the assumption of Winkler 's elastic support at the pile tip, the differential equation of pile vibration is deduced , the frequency domain response of the partially-embedded elastic support pile under steady harmonic vibration is theoretically analyzed , and the closed forms of the impedance function of pile top are obtained .Finally, the complex impedance curves of pile top in unsaturated soil are compared with those in saturated soil , and good agreement is found between the theoretical results and the re-sults obtained from the existing boundary element method and the virtual pile method , which means that the theoret-ical derivation is correct .Parameter analysis results indicate that the complex stiffness of pile top significantly de-creases with the increase of extended segment length;and that the pore water contributes to the dynamic behavior only in approximately saturated condition , while the influences of the saturation and the reaction coefficient at soil layer bottom are rather limited .