地埋梁与横观各向同性层状地基相互作用的广义Vesic解答  

Generalized Vesic solutions for interaction of buried beams and transversely isotropic layered soils

作　　者：王雨[1] 陈文化[1] WANG Yu;CHEN Wen-hua(School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China)

机构地区：[1]北京交通大学土木建筑工程学院

出　　处：《岩土工程学报》2018年第12期2241-2248,共8页Chinese Journal of Geotechnical Engineering

基　　金：中央高校基本科研业务费专项资金资助项目(2016YJS115);国家自然科学基金项目(51178035)

摘　　要：根据横观各向同性弹性理论和传递矩阵法,考虑梁底埋深、地基的横观各向同性及成层性,推导得到基床系数的广义Vesic解答。数值算例验证了基床系数取值方法的合理性和准确性,分析了各个参数变化对基床系数取值的影响。结果表明,基床系数k随梁底埋深h的增加而不断增大至最大值,约为地表时的2.05~2.25倍;k随着地基总厚H的增大而减小,而随横观各向同性参数r的增大而增大;当h为0或H超过100b或r为1时,本文解退化为Vesic解;土层加权平均弹性模量相同且首层土体越硬时,k值越大,且广义Vesic解用于有限长梁分析时的计算误差越小。According to the transversely isotropic elasticity theory and the transfer matrix method, the generalized Vesic solutions for the coefficient of subgrade reaction are obtained by considering the buried depth of beams and the transverse isotropy and layered properties of soils. The rationality and accuracy of the proposed method are validated by numerical examples, and the influences of variation of some parameters on the coefficient of subgrade reaction are analyzed. The results show that the coefficient of subgrade reaction k increases with the increase of the buried depth h to the maximum value, about 2.05 ~ 2.25 times the surface. It decreases with the increase of total soil thickness H and increases with the increase of the transversely isotropic parameter r. When h is 0 or H exceeds 100 b or r is 1, the proposed solutions are degenerated to the Vesic solution. In the condition that the weighted-average elastic moduli of soils are the same, the harder the top soil layer is, the larger k is, and the smaller the deviation is when the generalized Vesic solution is used to analyze the finite beams.

关 键 词：基床系数 横观各向同性 层状地基 地埋梁 广义Vesic解 

分 类 号：TU470[建筑科学—结构工程]