CAJ | 학술논문

现有不排水桩复合地基固结微分方程由Carrilo定理组合得到，即地基径向和竖向固结是组合固结。为此，基于现有砂井轴对称固结模型，根据等竖向应变假设，采用分离变量法和Fourier正弦级数方法，推导了线性加载条件下不排水桩复合地基径竖向同时固结完整解，克服了传统不排水复合地基固结微分方程通过Carrilo定理组合不适用线性加载这一缺点。分析了线性加载工况下桩土压缩模量比，加载历时和竖向固结系数对固结的影响，并对比了不排水桩复合地基与天然地基固结速率。计算结果表明，桩土压缩模量比越大固结速率越快；线性加载速率越慢固结越慢，瞬时加载固结速率最快；未扰动土体竖向渗透系数对地基固结速率影响显著，不排水桩复合地基固结速率远快于天然地基。
현유불배수장복합지기고결미분방정유Carrilo정리조합득도，즉지기경향화수향고결시조합고결。위차，기우현유사정축대칭고결모형，근거등수향응변가설，채용분리변량법화Fourier정현급수방법，추도료선성가재조건하불배수장복합지기경수향동시고결완정해，극복료전통불배수복합지기고결미분방정통과Carrilo정리조합불괄용선성가재저일결점。분석료선성가재공황하장토압축모량비，가재력시화수향고결계수대고결적영향，병대비료불배수장복합지기여천연지기고결속솔。계산결과표명，장토압축모량비월대고결속솔월쾌；선성가재속솔월만고결월만，순시가재고결속솔최쾌；미우동토체수향삼투계수대지기고결속솔영향현저，불배수장복합지기고결속솔원쾌우천연지기。
Existing differential equation for impervious pile composite consolidation is established by Carrillo’s equation , which is a combination of radial and vertical consolidation .Therefore ,Based on the axisymmetric consolidation model of sand-wells and on the assumption of equal vertical strain ,the explicit solutions of impervious pile composite foundation vertical and horizontal consolidation under ramp loading were obtained through variable separation method and Fourier sine series method .The solutions overcame the disadvantage of conventional consolidation differential equations of imper-vious pile composite foundation ,which was not suitable for ramp loading when combined with Carrillo’s equation .The influences of pile-soil compression modulus ,loading period and vertical coefficient on the consolidation under ramp load-ing were analyzed ,and consolidation rate was compared between impervious pile composite foundation and natural founda-tion .The calculation results indicate that with the increase of the pile-soil compression modulus ,the composite founda-tion consolidation rate is accelerated .And the longer the loading period ,the slower the consolidation rate ,the fastest the consolidation rate under instantaneous loading .Vertical hydraulic conductivity of the undisturbed soil has a significant impact on consolation rate;impervious pile composite foundation consolidation rate is faster than that of natural founda-tion .