地埋梁与横观各向同性层状地基相互作用的广义Vesic解答

王雨; 陈文化

doi:10.11779/CJGE201812011

地埋梁与横观各向同性层状地基相互作用的广义Vesic解答 English Version

王雨,
陈文化

北京交通大学土木建筑工程学院,北京 100044

基金项目: 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）

详细信息

作者简介:
王雨(1989- ),男,山东德州人,博士研究生,主要从事结构与土体相互作用的研究工作。E-mail: wangyu198909@163.com。

中图分类号: TU470
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出版历程
- 收稿日期: 2017-08-13
- 发布日期: 2018-12-24

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

School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China

摘要

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。
- 基床系数 /
- 横观各向同性 /
- 层状地基 /
- 地埋梁 /
- 广义Vesic解
Abstract: 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 100b 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.
- coefficient of subgrade reaction /
- transverse isotropy /
- multi-layered soil /
- buried beam /
- generalized Vesic solution

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参考文献(14)

[1]	BIOT M A.Bending of an infinite beam on an elastic foundation[J]. Journal of Applied Mechanics, ASME, 1937, 59: A1-A7.
[2]	TERZAGHI K.Evaluation of coefficients of subgrade reaction[J]. Géotechnique, 1955, 5(4): 297-326.
[3]	VESIC A B.Bending of beams resting on isotropic elastic solid[J]. Journal of the Engineering Mechanics Division, ASCE, 1961, 87(2): 35-53.
[4]	俞剑, 张陈蓉, 黄茂松. 被动状态下地埋管线的地基模量[J]. 岩石力学与工程学报, 2012, 31(1): 123-132. (YU Jian, ZHANG Chen-rong, HUANG Mao-song.Subgrade modulus of underground pipelines subjected to soil movements[J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(1): 123-132. (in Chinese))
[5]	DALOGLU A T, VALLABHAN C V G. Values of k for slab on Winkler foundation[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2000, 126(5): 463-471.
[6]	SHELDON T, SEZEN H, MOORE I D.Beam-on-springs modeling of jointed pipe culverts[J]. Journal of Performance of Constructed Facilities, 2016, 30(2): 1-9.
[7]	艾智勇, 张逸帆. 层状横观各向同性地基与刚性条形基础共同作用分析[J]. 岩土工程学报, 2014, 36(4): 752-756. (AI Zhi-yong, ZHANG Yi-fan.Interactive analysis of a rigid strip footing on transversely isotropic layered soils[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(4): 752-756. (in Chinese))
[8]	LIANG R Y, SHATNAWI E S.Estimating subgrade reaction modulus for transversely isotropic rock medium[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2010, 136(8): 1077-1085.
[9]	王春玲, 丁欢, 刘俊卿. 层状横观各向同性地基上异性矩形薄板的弯曲解析解[J]. 计算力学学报, 2014, 31(1): 78-83. (WANG Chun-ling, DING Huan, LIU Jun-qing.Bending analytic solutions of anisotropic rectangular plates with four free edges on the transversely isotropic elastic multilayered subgrade[J]. Chinese Journal of Computational Mechanics, 2014, 31(1): 78-83. (in Chinese))
[10]	AI Z Y, FENG D L.BEM analysis of laterally loaded pile groups in multi-layered transversely isotropic soils[J]. Engineering Analysis with Boundary Elements, 2014, 44: 143-151.
[11]	韩泽军, 林皋, 周小文, 等. 横观各向同性层状地基上埋置刚性条带基础动力刚度矩阵求解[J]. 岩土工程学报, 2016, 38(6): 1117-1124. (HAN Ze-jun, LIN Gao, ZHOU Xiao-wen, et al.Solution of dynamic stiffness matrix for rigid strip foundations embedded in layered transversely isotropic soil[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(6): 1117-1124. (in Chinese))
[12]	韩泽军, 林皋, 周小文. 三维横观各向同性层状地基任意点格林函数求解[J]. 岩土工程学报, 2016, 38(12): 2218-2225. (HAN Ze-jun, LIN Gao, ZHOU Xiao-wen.Solution to Green’s functions for arbitray points in 3D cross-anisotropic multi-layered soil[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(12): 2218-2225. (in Chinese))
[13]	钟阳, 殷建华. 弹性层状体的求解方法[M]. 北京: 科学出版社, 2007: 212-226. (ZHONG Yang, YIN Jian-hua.Solving method of elastic layered body[M]. Beijing: Science Press, 2007: 212-226. (in Chinese))
[14]	AI Z Y, LI Z X, CHENG Y C.BEM analysis of elastic foundation beams on multilayered isotropic soils[J]. Soils and Foundations, 2014, 54(4): 667-674.

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