描述PHC桩抗拔荷载-位移曲线的Weibull数学模型
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摘要
为加深对PHC桩的认识和推广其应用,基于3个场地共11根现场试验PHC抗拔桩的实测资料的优化拟合,对PHC桩的一些抗拔性状进行研究。针对抗拔PHC桩的承载特性,选用了Weibull数学模型描述PHC抗拔桩的上拔荷载-上拔位移曲线,对11根现场试验桩的拟合表明,Weibull模型的拟合精度高,相关系数R为0.98877~0.99963,平均0.99782;该模型对抗拔PHC桩的拟合效果比指数模型、双曲线模型的都要好;基于该数学模型的PHC桩上拔荷载的计算值与实测值的误差一般为±2.29245%;基于Weibull模型的拟合曲线,某两工程中PHC桩上拔荷载达到极限状态时的上拔位移量一般在5 mm~17 mm之间;基于Weibull模型的拟合结果,对PHC桩抗拔荷载与抗压荷载、PHC桩与钢管桩进行了比较。结果表明,选用的Weibull数学模型针对抗拔PHC桩上拔荷载-上拔位移曲线的拟合是较为精确的和可靠的,PHC桩是一种较为优越的桩型。
In order to understand PHC pile profoundly and extend its application,based on optimized fitting of actual measurement data of 11 field testing piles in 3 sites,some uplift bearing behaviors of PHC pile were studied.Aiming at the bearing characteristics of PHC pile,Weibull mathematical model was selected and optimized fitting analysis of uplift load versus uplift displacement curves was carried out.The fitting results of 11 field testing piles with the model showed that the fitting precision was high,the correlativity coefficients R was 0.98877~0.99963,the average value was 0.99861.The fitting effect with the model was better than the hyperbolic model and exponential model.The error between calculation value and field measurement value of uplifting load of PHC piles based on fitting equations was±2.29245%;the uplift displacement of PHC piles was 5 mm~17 mm in certain two engineering when uplifting load reach ultimate state based on fitting curves;comparison between uplifting load and compression load of PHC pile,between PHC pile and steel pipe pile was carried out based on fitting results.The following conclusions can be drawn that the Weibull mathematical model is accurate and credible for fitting of uplifting load versus uplifting displacement curves of PHC piles and PHC pile is an excellent pile.
In order to understand PHC pile profoundly and extend its application,based on optimized fitting of actual measurement data of 11 field testing piles in 3 sites,some uplift bearing behaviors of PHC pile were studied.Aiming at the bearing characteristics of PHC pile,Weibull mathematical model was selected and optimized fitting analysis of uplift load versus uplift displacement curves was carried out.The fitting results of 11 field testing piles with the model showed that the fitting precision was high,the correlativity coefficients R was 0.98877~0.99963,the average value was 0.99861.The fitting effect with the model was better than the hyperbolic model and exponential model.The error between calculation value and field measurement value of uplifting load of PHC piles based on fitting equations was±2.29245%;the uplift displacement of PHC piles was 5 mm~17 mm in certain two engineering when uplifting load reach ultimate state based on fitting curves;comparison between uplifting load and compression load of PHC pile,between PHC pile and steel pipe pile was carried out based on fitting results.The following conclusions can be drawn that the Weibull mathematical model is accurate and credible for fitting of uplifting load versus uplifting displacement curves of PHC piles and PHC pile is an excellent pile.
引文
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[14]Tu Xuhang,Wang Zhiliang,Liang Zhenmiao.Study on ap-plication of modified Weibull model to settlement predictionof foundation[J].Rock and Soil Mechanics,2005,26(4):621-623.[涂许杭,王志亮,梁振淼.修正的Weibull模型在沉降预测中的应用研究[J].岩土力学,2005,26(4):621-623.]
[15]Su Zhenming,Xin Yiyang.Static pulling test for pipe pilesof prestressed high strength concrete[J].Building Science,2006,22(5):43-46.[苏振明,辛艺阳.PHC桩竖向抗拔静载试验[J].建筑科学,2006,22(5):43-46.]
[16]Xu Guoping.Static pulling test for pipe piles of prestressedhigh strength concrete[J].Geotechnical Investigation andSurveying,2005(5):9-11.[许国平.PHC桩的竖向抗拔静载试验研究[J].工程勘察,2005(5):9-11.]
[17]Liu Xiang,Zhao Peng.Static pulling test for pipe piles ofprestressed high strength concrete[J].China Harbour Engi-neering,2005(6):53-55.[刘翔,赵鹏.PHC桩在天津港码头工程中的应用[J].中国港湾建设,2005(6):53-55.]
[2]蒋建平.大直径灌注桩竖向承载性状[M].上海:上海交通大学出版社,2007.
[3]Yang Shuyan,Jiang Qiliang,Li Xinguo.Analysis on seismicresponse effect of tunnel to nearby structure[J].Journal ofSichuan University:Engineering Science Edition,2007,39(3):41-46.[杨书燕,姜忻良,李新国.隧道对临近建筑物的地震反应影响分析[J].四川大学学报:工程科学版,2007,39(3):41-46.]
[4]Lei Xiaozhang,He Siming.Study on ultimate resistance ofrock-socket pile[J].Journal of Sichuan University:Engi-neering Science Edition,2007,37(4):7-10.[雷孝章,何思明.嵌岩桩极限侧阻力研究[J].四川大学学报:工程科学版,2007,37(4):7-10.]
[5]Zhu Hehua,Xie Yongjian,Wang Huaizhong.Behavior oflong PHC piles driven in Shanghai soft clay[J].ChineseJournal of Geotechnical Engineering,2004,26(6):745-749.[朱合华,谢永健,王怀忠.上海软土地基超长打入PHC桩工程性状研究[J].岩土工程学报,2004,26(6):745-749.]
[6]Liu Wenbai,Zhou Jian.Numerical simulation of particleflowcode for pile under uplifting load[J].Chinese Journalof Geotechnical Engineering,2004,26(4):516-521.[刘文白,周健.上拔荷载作用下桩的颗粒流数值模拟[J].岩土工程学报,2004,26(4):516-521.]
[7]Dang Faning,Liu Na,He Wenan.Hyperbolic model of loadtransfer method for single pile in Xi’an area and its engi-neering application[J].Chinese Journal of Geotechnical En-gineering,2007,29(9):1428-1432.[党发宁,刘娜,何文安.西安地区单桩荷载传递双曲线模型与工程应用[J].岩土工程学报,2007,29(9):1428-1432.]
[8]Hu Qi,Jiang Jun,Yan Xishui,et al.Regression analysis ofthe effect of ultimate bearing capability of single reinforcedpile[J].Journal of Harbin Institute of Technology,2006,38(4):602-604.[胡琦,蒋军,严细水,等.回归法分析预应力管桩单桩极限承载力时效性[J].哈尔滨工业大学学报,2006,38(4):602-604.]
[9]Guo Honglei,He Wen,Hu Yibing,et al.Prediction of ver-tical ultimate bearing capacity of PHC piles[J].EngineeringMechanics,2004,21(3):78-83.[郭宏磊,贺雯,胡亦兵等.PHC桩的竖向极限承载力的预测[J].工程力学,2004,21(3):78-83.]
[10]Sohn S Y,Chang I S,Moon T H.Random effects Weibullregression model for occupational lifetime[J].EuropeanJournal of Operational Research,2007,45(2):124-131.
[11]Moorman J E.A statistical model of cleavage fracture[J].Engineering Fracture Mechanics,2008,75(8):1587-1604.
[12]Chen Zhongan,Xu Ran,Zeng Zheng.Prediction of theductile-brittle transition curve of ferritic steels using veibullstress methodology[J].Engineering Mechanics,2007,24(12):25-30.[陈忠安,徐冉,曾振.Weibull应力方法预测低合金钢的韧脆转化曲线[J].工程力学,2007,24(12):25-30.]
[13]Wang Wei,Lu Tinghao.Study on prediction model of softfoundation settlement based on Weibull curve[J].Rock andSoil Mechanics,2007,28(4):803-807.[王伟,卢廷浩.基于Weibull曲线的软基沉降预测模型分析[J].岩土力学,2007,28(4):803-807.]
[14]Tu Xuhang,Wang Zhiliang,Liang Zhenmiao.Study on ap-plication of modified Weibull model to settlement predictionof foundation[J].Rock and Soil Mechanics,2005,26(4):621-623.[涂许杭,王志亮,梁振淼.修正的Weibull模型在沉降预测中的应用研究[J].岩土力学,2005,26(4):621-623.]
[15]Su Zhenming,Xin Yiyang.Static pulling test for pipe pilesof prestressed high strength concrete[J].Building Science,2006,22(5):43-46.[苏振明,辛艺阳.PHC桩竖向抗拔静载试验[J].建筑科学,2006,22(5):43-46.]
[16]Xu Guoping.Static pulling test for pipe piles of prestressedhigh strength concrete[J].Geotechnical Investigation andSurveying,2005(5):9-11.[许国平.PHC桩的竖向抗拔静载试验研究[J].工程勘察,2005(5):9-11.]
[17]Liu Xiang,Zhao Peng.Static pulling test for pipe piles ofprestressed high strength concrete[J].China Harbour Engi-neering,2005(6):53-55.[刘翔,赵鹏.PHC桩在天津港码头工程中的应用[J].中国港湾建设,2005(6):53-55.]
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