改进的无网格法及其在冻土区桩基温度场中的应用

doi:10.7522/j.issn.1000-0240.2018.0106

冰川冻土 ›› 2018, Vol. 40 ›› Issue (5): 974-978.doi: 10.7522/j.issn.1000-0240.2018.0106

改进的无网格法及其在冻土区桩基温度场中的应用

高志华¹, 赵昭¹, 曾辉辉², 田威¹

1. 长安大学建筑工程学院, 陕西西安 710064,;
2. 中铁二院西北勘察设计有限责任公司, 甘肃兰州 730000

收稿日期:2018-04-08 修回日期:2018-07-12 出版日期:2018-10-25 发布日期:2018-12-10
作者简介:高志华(1975-),女(汉),山西万荣人,副教授,2008年在中国科学院寒区旱区环境与工程研究所获博士学位,从事寒区工程数值计算及土力学研究.E-mail:zhgao@chd.edu.cn.
基金资助:
国家自然科学基金项目（51579013）资助

Analysis of temperature distribution along piles in permafrost regions by the improved element-free Galerkin method

GAO Zhihua¹, ZHAO Zhao¹, ZENG Huihui², TIAN Wei¹

1. School of Civil Engineering, Chang'an University, Xi'an 710061, China;
2. CREEC(Northwest) Survey and Design Co. Ltd., Lanzhou 730000, China

Received:2018-04-08 Revised:2018-07-12 Online:2018-10-25 Published:2018-12-10

摘要/Abstract

摘要： 采用带权正交基函数对传统的无网格法中的基函数进行了改进，避免了计算过程中可能出现的矩阵不可逆情况，而且编程容易实现且计算效率高。并将其应用到冻土区桩基包括了热传导和相变潜热的温度场中，同时考虑了混凝土水化热释放对桩周冻土的影响，将计算结果和有限元计算结果及现场实测数据进行了比较分析，从趋势和最大数值看都反映了实测曲线的趋势，又把不同深度处桩侧和不同桩径处温度随时间的变化规律计算结果和有限元计算结果做了对比，都验证了该方法的可行性和优越性。

关键词: 改进的无网格法, 多年冻土, 桩基温度场, 水化热

Abstract: The element-free Galerkin method (EFG) has been improved by using the orthonormal basis functions to obtain a shape function. So, the improved element-free Galerkin method (IEFG) can obtain the solution of undetermined coefficients directly without the inverse matrices. An ill-conditional or singular matrices can be avoided by the method. Because of the advantages of the IEFG, it has greater computational efficiency and can obtain the solution for arbitrary node distribution. In this paper, the method was introduced to analyze the temperature distribution along piles in permafrost. The control equations of temperature field in permafrost regions were established. The effects of heat conduction and latent heat on the temperature distribution were considered and the release of concrete hydration heat was studied by control equation. It is concluded that the calculated results are in good agreement with the monitoring data and the results by the finite element method.

Key words: the improved element-free Galerkin method, permafrost, temperature field of pile, hydration heat

中图分类号:

P642.14

高志华, 赵昭, 曾辉辉, 田威. 改进的无网格法及其在冻土区桩基温度场中的应用[J]. 冰川冻土, 2018, 40(5): 974-978.

GAO Zhihua, ZHAO Zhao, ZENG Huihui, TIAN Wei. Analysis of temperature distribution along piles in permafrost regions by the improved element-free Galerkin method[J]. Journal of Glaciology and Geocryology, 2018, 40(5): 974-978.

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改进的无网格法及其在冻土区桩基温度场中的应用

Analysis of temperature distribution along piles in permafrost regions by the improved element-free Galerkin method

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