Advanced Search
  • 全国中文核心期刊
  • 中国科技核心期刊
  • 美国工程索引（EI）收录期刊
  • Scopus数据库收录期刊
Volume 35 Issue zk2
Turn off MathJax
Article Contents
Abstract
References
TANG Li-min. Polynomial Landweber iterative method for solving Poisson model parameters in soft subgrade settlement[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(zk2): 853-856.
Citation: TANG Li-min. Polynomial Landweber iterative method for solving Poisson model parameters in soft subgrade settlement[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(zk2): 853-856.
shu

Polynomial Landweber iterative method for solving Poisson model parameters in soft subgrade settlement

  • 1. Key Laboratory of Road Structure & Material of Ministry of Communications, Changsha 410004, China; 2. Changsha University of Science & Technology, Changsha 410004, China

More Information
  • Received Date: July 16, 2013
  • Published Date: November 24, 2013
    Graphical Abstract
    • Abstract
  • Solving Poisson model parameters in settlement analysis will fail when the iterative matrix is ill-conditioned. Based on the matrix transformation theory, the classical Landweber iteration formula is derived, and a polynomial Landweber iterative method of Poisson model for soft soil subgrade settlement is proposed. The formula is also given. According to the nonlinear least-squares principle, the methods and formulas for parameter factors in the formula are given. The observed data of soft soil roadbed in expressways are analyzed using this method. The results show that the polynomial Landweber iterative method can effectively avoid the convergence situation which the ill-posed iterative matrix. Ideal embankment settlement results are achieved when the parameter factors are accuately selected.
    • FullText(HTML)
    • References (12)
  • [1]
    朱志铎, 周礼红. 软土路基全过程沉降预测的Logistic模型应用研究[J]. 岩土工程学报, 2009, 31(6): 965-969. (ZHU Zhi-duo, ZHOU Li-hong. Application of Logistic model in settlement prediction during complete process of embankment construction[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(6): 965-969. (in Chinese))
    [2]
    赵明华, 龙 照, 邹新军. 路基沉降预测的Usher模型应用研究. [J].岩土力学, 2008, 29(11): 2973-2981. (ZHAO Ming-hua, LONG Zhao,ZOU Xin-jun.Prediction of roadbed settlement by Usher model[J]. Rock and Soil Mechanics, 2008, 29(11): 2973-2981. (in Chinese))
    [3]
    TANG Li-min. A regularization homotopy iterative method for ill-posed nonlinear least squares problem and its application[J]. Applied Mechanics and Materials, 2011(90-93): 3268-3273.
    [4]
    邓英尔, 谢和平. 全过程沉降预测的新模型与方法[J]. 岩土力学, 2005, 26(1): 1-4. (DENG Yin-er, XIE He-ping. New model and method of forecasting settlement during complete process of construction and operation[J]. Rock and Soil Mechanics, 2005, 26(1): 1-4. (in Chinese))
    [5]
    唐利民. 地基沉降预测模型的正则化算法[J]. 岩土力学, 2010, 31(12): 3945-3948+3957. (TANG Li-min. Regularization algorithm of foundation settlement prediction model[J]. Rock and Soil Mechanics, 2010, 31(12): 3945-3948+3957. (in Chinese))
    [6]
    宰金珉, 梅国雄. 全过程的沉降量预测方法研究[J]. 岩土力学, 2000, 21(4): 322-325.( ZAI Jin-min, MEI Guo-xiong. Forecast method of settlement during the complete process of construction and operation[J]. Rock and Soil Mechanics, 2000, 21(4): 322-325. (in Chinese))
    [7]
    А.Н.吉洪诺夫, В.Я.阿尔先宁. 不适定问题的解法[M]. 王秉忱译. 北京: 地质出版社, 1979: 142-174. (TIKHONOV A N, ARSENIN В Я. Solutions of ill-posed problems[M]. WANG Bing-chen, translate. Beijing: Geological Press, 1979: 142-174. (in Chinese))
    [8]
    王新洲. 非线性模型参数估计理论与应用[M]. 武汉: 武汉大学出版社, 2002: 1-132. (WANG Xin-zhou. Nonlinear model parameter estimation theory and application[M]. Wuhan: Wuhan University Press, 2002: 1-132. (in Chinese))
    [9]
    LANDWEBER L. An iteration formula for fredholm integral equations of the first kind amer[J]. J Math, 1951, 73: 615-624.
    [10]
    HANKE M, NEUBAUER A, SCHERZER O. A Convergence Analysis of the Landweber Iteration for Nonlinear Ill-posed Problems[J]. Numer Math, 1995, 72: 21-37.
    [11]
    KU¨GLER P. A derivative-free landweber iteration for parameter identifiation in certain elliptic pdes[J]. Inverse Problems, 2003, 19: 1407-1426.
    [12]
    XU J, HAN B, LI L. Frozen landweber iteration for nonlinear Ill-posed problems[J]. Acta Mathematicae Applicatae Sinica, 2007, 23(2): 329-336.
    • Related Articles
  • Supplements (0)

  • Cited by

    Periodical cited type(8)

    1. 刘雪莹，俞缙，周先齐，姚玮，任崇鸿，蔡燕燕. 一种新的岩石各向异性蠕变-渗透率模型. 岩土工程学报. 2025(02): 275-283 . 本站查看
    2. 郭建春，张涛，武玺，赵志红，李宗源，曾杰. 煤层气压裂水平井生产动态分析及其渗透率协同演化机制. 煤炭学报. 2025(01): 516-531 .
    3. 张磊丽，蔡婷婷，石磊，姜玉龙，夏瑾. 不同温度-围压-气体压力下煤体蠕变-渗流演化规律. 煤矿安全. 2024(03): 36-45 .
    4. 赵一博. 计算多孔介质流线迂曲度及其分形维数的新几何模型. 材料导报. 2024(S2): 282-286 .
    5. 李钊，倪冠华，杨威，温永瓒，王刚，刘震，王振洋. 不同冲击倾向性煤体孔隙结构及瓦斯吸附特征研究. 煤炭科学技术. 2024(S2): 56-70 .
    6. 张学博，王豪，杨明，王攀，韩林秀. 抽采钻孔失稳坍塌对瓦斯抽采的影响机制研究及应用. 煤炭学报. 2023(08): 3102-3115 .
    7. 王科文. 瓦斯抽采钻孔新型封孔工艺试验研究. 山东煤炭科技. 2023(09): 128-130 .
    8. 许江，饶豪魁，彭守建，陈奕安，陈灿灿，马天宇. 三轴应力条件下凝灰岩广义应力松弛流变模型的构建. 采矿与安全工程学报. 2023(06): 1264-1272 .

    Other cited types(16)

Catalog

    Get Citation
    PDF
    XML
    Article views PDF downloads Cited by(24)
    Related
    Copyright © 2010 Editorial By Chinese Journal of Geotechnical Engineering 苏ICP备05007122号-11公安联网备案号：32010602011255
    Editorial Office address：34 Hujuguan,Nanjing 210024,ChinaPostal Code：210024Tel：025-85829534，85829556E-mail: ge@nhri.cn

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return