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LIU Hong-jun, SHANGGUAN Shi-qing, PIAO Chun-de, JIANG De-hong. Calculation and analysis of single pile settlement based on mathematical programming algorithm[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(5): 868-873.
Citation: LIU Hong-jun, SHANGGUAN Shi-qing, PIAO Chun-de, JIANG De-hong. Calculation and analysis of single pile settlement based on mathematical programming algorithm[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(5): 868-873.

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

More Information
  • Received Date: March 13, 2011
  • Published Date: May 19, 2012
  • 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.
  • [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))
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