壁板桩群桩竖直荷载沉降关系的变分法分析

›› 2007, Vol. 28 ›› Issue (10): 2071-2076.

壁板桩群桩竖直荷载沉降关系的变分法分析

雷国辉^{1, 2}，詹金林³，洪鑫⁴

1.河海大学岩土工程水利部重点实验室，南京 210098；2.河海大学岩土工程研究所，南京 210098； 3.现代建筑设计集团申元岩土工程有限公司，上海 200011；4.昆山市建设工程质量检测中心，昆山 215337

收稿日期:2005-11-01 出版日期:2007-10-10 发布日期:2013-10-15
作者简介:雷国辉，男，1972年生，博士，主要从事软基处理与基础工程研究。
基金资助:
教育部留学回国人员科研启动基金

Variational analysis of load-settlement relationship of vertically loaded barrette groups

LEI Guo-hui^{1, 2}, ZHAN Jin-lin³, HONG Xin⁴

1. Key Laboratory for Geotechnical Engineering of Ministry of Water Resource, Hohai University, Nanjing 210098, China; 2. Research Institute of Geotechnical Engineering, Hohai University, Nanjing 210098, China; 3. Xiandai Architectural Design Group, Shenyuan Geotechnical Co., Ltd, Shanghai 200011, China; 4. Kunshan Construction Engineering Quality Testing Center, Kunshan 215337, China

Received:2005-11-01 Online:2007-10-10 Published:2013-10-15

摘要/Abstract

摘要： 将壁板桩桩身竖向位移用有限级数函数表示，地基土体的荷载位移关系用Mindlin点对点的位移解表示，同时考虑壁板桩桩身剪应力沿其周边以及桩底法向应力沿桩底面分布的不均匀性，采用双重高斯数值积分法将基于变分原理建立的壁板桩群桩体系的总势能展开为简单的矩阵形式方程，并根据最小势能原理得到壁板桩群桩竖直荷载沉降关系的显式解答。与近似三维分析方法计算结果的对比验证了所提出解答的合理性，也展示了其计算速度更快，计算存储量要求更低的优点。

关键词: 壁板桩, 变分法, 群桩, 荷载沉降关系

Abstract: Based on the variational principle, the total potential energy of a general group of vertically loaded barrettes is established. By using the double Gauss numerical integration method, it is expanded to a simple equation of matrix form, in which a finite series is used to denote the vertical displacement of barrette shaft, Mindlin’s point-to-point displacement solution is applied to describe the force-displacement relationship of ground soils, and allowance is made for the non-uniform distributions of both the side shear stresses along the perimeter of the barrette shaft and the normal stresses at the barrette base. In light of the principle of minimum potential energy, an explicit solution is obtained for the load-settlement relationship of barrette groups. The proposed solution is verified from the comparisons of the calculated results made with an approximate three-dimensional method. Its merits in higher computational velocity and greatly reduced computer storage memory are also illustrated.

Key words: barrette, variational method, pile group, load-settlement relationship

中图分类号:

TU 476+.3

雷国辉，詹金林，洪鑫. 壁板桩群桩竖直荷载沉降关系的变分法分析[J]. , 2007, 28(10): 2071-2076.

LEI Guo-hui, ZHAN Jin-lin, HONG Xin. Variational analysis of load-settlement relationship of vertically loaded barrette groups[J]. , 2007, 28(10): 2071-2076.

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