基于数学规划算法的单桩沉降计算分析研究

刘红军; 上官士青; 朴春德; 姜德鸿

基于数学规划算法的单桩沉降计算分析研究 English Version

1.中国海洋大学环境科学与工程学院，山东青岛 266100; 2. 中国矿业大学资源与地球科学学院，江苏徐州 221116; 3. 青岛市勘察测绘研究院，山东青岛 266032

基金项目: 国家自然科学基金项目(41072216)；博士点基金资助项目(20100132110001)

详细信息

作者简介:
刘红军（ 1966 – ），男，江苏靖江人，教授，博士生导师，主要从事海洋工程地质、岩土工程的研究与教学工作。

中图分类号: TU473
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出版历程
- 收稿日期: 2011-03-13
- 发布日期: 2012-05-19

Calculation and analysis of single pile settlement based on mathematical programming algorithm

1. College of Environmental Science and Engineering, China University of Ocean, Qingdao 266100, China; 2. The School of Resource and Earth Science, China University of Mining and Technology, Xuzhou 221116, China; 3. Qingdao Geotechnical Investigation and Surveying Research Institute, Qingdao 266032, China

摘要

摘要: 基于荷载传递法的土弹簧模型，提出了新假设，并建立了用于单桩沉降计算的数学规划模型。该数学模型以离散的最小势能方程为目标函数，桩顶荷载为约束条件，拟解决如何对各土弹簧进行荷载分配使整个系统势能最小的数学问题。不同于传统的土弹簧模型，论文提出的模型假设某一桩单元沉降值为该桩单元顶部平面沉降与底部平面沉降的平均值。通过算例验证，文章推出的计算方法可行有效，计算得出的 Q – s 曲线、轴力分布与实测数据吻合较好，并对比发现在桩单元较少的情况下，通过该数学规划模型求解单桩沉降可以达到比位移协调法更高的精度。
- 单桩沉降 /
- 荷载传递法 /
- 土弹簧模型 /
- 数学规划
Abstract: Based on the soil spring model of the load transfer method, a new assumption is proposed, and a mathematical programming model for calculating single pile settlement is established. In the mathematical model, the principle of the minimum potential energy is used as the objective function and the working load at the top of the pile is used as constraints, which is a mathematical approach to find how to distribute the load of soil spring to make the whole system potential energy minimum. Different from the traditional soil spring model, the proposed model defines the element value of a pile settlement as the average value of the top and bottom plane settlements of that pile element. Validated by an example, the Q-s curve calculated by the mathematical programming model and the measured data are in good agreement, which illustrates the proposed method is feasible and effective. And a comparison with the displacement coordination method shows that the proposed method has higher precision under the condition of less subdivision element.
- single pile settlement /
- load transfer method /
- soil spring model /
- mathematical programming

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参考文献(14)

[1]	SEED H B, REESE L C. The action of soft clay along friction piles[J]. Transactions, ASCE, 1957, 122 : 731 – 754.
[2]	COYLE H M, REESE L C. Load transfer for axially loaded piles in clay[J]. Journal of the Soil Mechanics and Foundations, 1966, 92 (SM2): 1 – 26.
[3]	陈龙珠 , 梁国钱 , 朱金颖 , 等 . 桩的轴向荷载一沉降曲线的一种解析算法 [J]. 岩土工程学报 , 1994, 16 (6): 30 – 38. (CHEN Long-zhu, LIANG Guo-qian, ZHU Jin-ying, et al. Analytical calculation of axial loadig-settlement curve of piles[J]. Chinese Journal of Geotechnical Engineering, 1994, 16 (6): 30 – 38. (in Chinese))
[4]	潘时声 , 侯学渊 . 桩的刚度计算 [J]. 岩土工程学报 , 1996, 18 (1): 1 – 6. (PAN Shi-sheng, HOU Xue-yuan. Computation of pile head stiffness[J]. Chinese Journal of Geotechnical Engineering , 1996, 18 (1): 1 – 6. (in Chinese))
[5]	房卫民 , 赵明华 , 苏检来 . 由沉降量控制桩竖向极限承载力的分析 [J]. 中南公路工程 , 1999, 24 : 23 – 25. (FANG Wei-min, ZHAO Ming-hua, SU Jian-lai. Analysis of predicting vertical limit bearing capacity by the pile settlement[J]. Central South Highway Engineering, 1999, 24 : 23 – 25. (in Chinese))
[6]	洪鑫 , 雷国辉 , 施建勇 . 双线性荷载传递函数的单桩荷载沉降关系统一解 [J]. 岩土工程学报 , 2004, 26 (3): 428 – 431. (HONG Xin, LEI Guo-hui, SHI Jian-yong. Unified load-settlement solution of single piles based on bilinear load transfer[J]. Chinese Journal of Geotechnical Engineering, 2004, 26 (3): 428 – 431. (in Chinese))
[7]	余闯 , 刘松玉 . 考虑桩侧土软化的单桩性状计算分析 [J]. 岩土力学 , 2005, 26 ( 增刊 ): 133 – 136. (YU Chuang, LIU Song-yu. Research on behaviors of single pile considering softening of pile-side soil[J]. Rock and Soil Mechanics, 2005, 26 (S0): 133 – 136. (in Chinese))
[8]	陈仁朋 , 周万欢 , 曹卫平 , 等 . 改进的桩土界面荷载传递双曲线模型及其在单桩负摩阻力时间效应研究中的应用 [J]. 岩土工程学报 , 2007, 29 (6): 824 – 830. (CHEN Ren-peng, ZHOU An-huan, CAO Wei-ping, et al. An improved load-transfer hyperbolic model for the pile-soil interface and its application to the study of negative friction of single piles considering time effect[J]. Chinese Journal of Geotechnical Engineering, 2007, 29 (6): 824 – 830. (in Chinese))
[9]	蒲诃夫 , 郑俊杰 , 章荣军 . 桩土界面荷载传递模型的改进及其数值实现 [J]. 华中科技大学学报 , 2010, 27 (1): 84 – 88. (PU He-fu, ZHENG Jun-jie, ZHANG Rong-jun. Improvement on the load transfer model of pile-soil interface and its numerical simulation[J]. Journal of Huazhong University of Science and Technology, 2010, 27 (1): 84 – 88. (in Chinese))
[10]	史佩栋 . 实用桩基工程手册 [M]. 北京 : 中国建筑工业出版社 , 1999: 104. (SHI Pei-dong. Practical pile foundation engineering handbook[M]. Beijing: China Architecture and Building Press, 1999: 104. (in Chinese))
[11]	SEO H, BASU D, PREZZI M, et al. Load-settlement response of rectangular and circular piles in multilayered soil[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2009: 420 – 430.
[12]	刘齐建 . 大直径桥梁基桩竖向承载力分析及试验研究 [D]. 长沙 : 湖南大学 , 2002: 54. (LIU Qi-jian. Analysis of axial load capacity and test research on large-diameter bridge pile[D]. Changsha: Hunan University, 2002: 54. (in Chinese))
[13]	戚伟 . 单桩沉降变形与承载力关系研究 [D]. 西安 : 长安大学 , 2004: 59 – 64. (QI Wei. The relationship between settlement property and bearing capacity of single pile under axial-loads[D]. Xi'an: Chang'an University, 2004: 59 – 64. (in Chinese))
[14]	杜藏 . 最优化计算方法 [M]. 天津 : 天津大学出版社 , 1996. (DU Zang. Optimization methods[M]. Tianjin: Tianjin University Press, 1996. (in Chinese))