摘要
以Terzaghi一维固结理论为基础,采用Green函数法对二维固结微分方程进行求解,得到了不同边界条件及地基应力条件下的二维固结微分方程的解析解,给出了计算表,进一步推导了线性加载下的解答。以一均质地基为例,将计算结果与一维解答、前人所得数值结果进行对比,验证了该方法的准确性与可靠性。研究结果表明:进行工程实际研究时应重点关注荷载中心点下的平均固结度,荷载宽度与地基宽度越接近,荷载中心点下的平均固结度与一维结果越接近;而当地基宽度远大于荷载宽度和软土厚度时,使用一维固结理论计算误差较小,工程设计中是可靠的。该方法解答考虑更多工程情况,更快捷方便,便于工程人员使用,可应用于工程计算。
Based on Terzaghi's one-dimensional consolidation theory,the Green function method was used to solve the two-dimensional consolidation differential equations,and the analytical solutions of the two-dimensional consolidation differential equations under different boundary conditions and foundation stress conditions were obtained,and the calculation table was given to further derive the solutions under linear loading.Taking a homogeneous foundation as an example,the calculation results were compared with the one-dimensional solution and the numerical results obtained by previous authors to verify the accuracy and reliability of the method.The results show that the average consolidation under the load center point should be focused on when conducting practical engineering studies,and the closer the load width is to the foundation width,the closer the average consolidation under the load center point is to the one-dimensional results.When the foundation width is much larger than the load width and soft soil thickness,the calculation error using the one-dimensional consolidation theory is smaller and reliable in engineering design.This method considers more engineering situations,is faster,more convenient,and convenient for engineering personnel to use,and can be applied to engineering calculations.
作者
李秉宜
王唤唤
刘旭
LI Bing-yi;WANG Huan-huan;LIU Xu(College of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215011,China;Jiangsu Ecological Road Technology Industrialization Engineering Research Center,Suzhou 215011,China;Jiaxing Century Traffic Design Co.,Ltd.,Jiaxing 314001,China)
出处
《科学技术与工程》
北大核心
2023年第17期7485-7493,共9页
Science Technology and Engineering
基金
国家自然科学基金青年科学基金(52108340)。
关键词
岩土工程
Green函数法
二维固结
边界条件
geotechnical engineering
Green function method
two-dimensional consolidation
boundary conditions