弧形侧向抗力法的力法推导及例证
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摘要
弧形侧向抗力法是三角形侧向抗力法的理论修正。考虑大直径隧道穿越松软、水下软塑、复合等实际地层的非线性特征,进行其侧向抗力的弧形修正。给出部分正弦分布侧向抗力法的理论推导及例证。在自由变形法(FFD法)基础上对比三角形与弧形分布侧向抗力影响下衬砌结构的内力,拓展理论应用的限制条件及范围,并讨论各侧向抗力法在实际复合地层中的适用性。对比南京地铁一号线实测与理论计算结果显示:单圆整体式衬砌采用弧形侧向抗力法进行内力计算的过程明确,理论结果的误差范围可适用于实例复合地层中的衬砌计算。该算例的应用为复合地层单圆隧道衬砌的工程设计提供内力极值的理论参考,弧形侧向抗力法对类似工程设计具有一定实用性。
Sinusoidal curved lateral resistance method(SCLRM) is the theoretical correction for triangular method. Considering the nonlinear characteristics of soft,underwater soft plastic and composite strata that the large diameter tunnel passing through,the lateral resistance was corrected in SCLRM. The theoretical formulas of SCLRM were derived and the example was shown. Based on the free-form deformation method(FFD),the internal force distribution for the lining structure were calculated using triangle method and SCLRM. The scope and restriction of the application of theory were expanded. The applicability of each lateral resistance method in actual complex formations was discussed. Comparing the measurement value with theoretical results for Nanjing subway line one,it is indicated that the internal force calculation of single round integral type shield tunnel by SCLRM having a definite procession and a small error range which are suitable for this engineering example design. Application of this example provided a theoretical reference of internal force maximum value for designing single round shield tunnel passing through the composite strata. It seems that SCLRM has the certain practicality for similar project design.
Sinusoidal curved lateral resistance method(SCLRM) is the theoretical correction for triangular method. Considering the nonlinear characteristics of soft,underwater soft plastic and composite strata that the large diameter tunnel passing through,the lateral resistance was corrected in SCLRM. The theoretical formulas of SCLRM were derived and the example was shown. Based on the free-form deformation method(FFD),the internal force distribution for the lining structure were calculated using triangle method and SCLRM. The scope and restriction of the application of theory were expanded. The applicability of each lateral resistance method in actual complex formations was discussed. Comparing the measurement value with theoretical results for Nanjing subway line one,it is indicated that the internal force calculation of single round integral type shield tunnel by SCLRM having a definite procession and a small error range which are suitable for this engineering example design. Application of this example provided a theoretical reference of internal force maximum value for designing single round shield tunnel passing through the composite strata. It seems that SCLRM has the certain practicality for similar project design.
引文
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[9]贺少辉,马万权,曹德胜,等.隧道湿喷纤维高性能混凝土单层永久衬砌研究[J].岩石力学与工程学报,2004,23(20):3 509–3 517.(HE Shaohui,MA Wanquan,CAO Desheng,et al.Permanent single-layer tunnel lining by fibre-reinforced high performance shotcrete and wet-mix method[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(20):3 509–3 517.(in Chinese))
[10]张顶立,张素磊,房倩,等.铁路运营隧道衬砌背后接触状态及其分析[J].岩石力学与工程学报,2010,32(2):218–224.(ZHANG Dingli,ZHANG Sulei,FANG Qian,et al.Study of contact state behind tunnel lining in process of railway operation and its analysis[J].Chinese Journal of Rock Mechanics and Engineering,2010,32(2):218–224.(in Chinese))
[11]张成平,张顶立,王梦恕,等.高水压富水区隧道限排衬砌注浆圈合理参数研究[J].岩石力学与工程学报,2007,26(11):2 270–2 276.(ZHANG Chengping,ZHANG Dingli,WANG Mengshu,et al.Study on appropriate parameters of grouting circle for tunnels with limiting discharge lining in high water pressure and water-enriched region[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(11):2 270–2 276.(in Chinese))
[12]罗彦斌,陈建勋,王梦恕.隧道斜交横通道施工对主隧道衬砌结构的影响研究[J].岩石力学与工程学报,2010,29(增2):3 792–3 798.(LUO Yanbin,CHEN Jianxun,WANG Mengshu.Study of influence of skew horizontal adit tunnel construction on main tunnel lining structure[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(Supp.2):3 792–3 798.(in Chinese))
[13]李鹏飞,张顶立,赵勇,等.大断面黄土隧道二次衬砌受力特性研究[J].岩石力学与工程学报,2010,29(8):1 690–1 696.(LI Pengfei,ZHANG Dingli,ZHAO Yong,et al.Study of mechanical characteristics of secondary lining of large-section loess tunnel[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(8):1 690–1 696.(in Chinese))
[14]中华人民共和国国家标准编写组.GB50307—2012城市轨道交通岩土工程勘察规范[S].北京:中国计划出版社,2012.(The National Standards Compilation Group of People?s Republic of China.GB50307—2012 Code for geotechnical investigations of urban rail transit[S].Beijing:China Planning Press,2012.(in Chinese))
[15]曾巧玲,崔江余,陈文化,等.基础工程[M].北京:清华大学出版社,2007:121.(ZENG Qiaoling,CUI Jiangyu,CHEN Wenhua,et al.Foundation engineering[M].Beijing:Tsinghua University Press,2007:121.(in Chinese))
[16]Broms B B.Lateral resistance of piles in cohesive soil[J].Journal of the Soil Mechanics and Foundations Division,1964,90(2):27–64.
[17]宫全美,刘建国,丁春林,等.土的侧向压力对盾构隧道衬砌圆环内力的影响[J].城市轨道交通研究,2001,(2):28–32.(GONG Quanmei,LIU Jianguo,DING Chunlin,et al.Influence on internal force of shield tunnel?s lining under soil?s lateral pressure[J].Urban Mass Transit,2001,(2):28–32.(in Chinese))
[2]王梦恕.中国隧道及地下工程修建技术[M].北京:人民交通出版社,2010:32–58.(WANG Mengshu.Tunnelling and underground engineering technology in China[M].Beijing:China Communications Press,2010:32–58.(in Chinese))
[3]张顶立.海底隧道不良地质体及结构界面的变形控制技术[J].岩石力学与工程学报,2007,26(11):2 161–2 169.(ZHANG Dingli.Deformation control techniques of unfavorable geologic bodies and discontinuous surfaces in subsea tunnel[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(11):2 161–2 169.(in Chinese))
[4]LEE K M,HOU X Y,GE X W,et al.An analytical solution for a jointed shield-driven tunnel lining[J].International Journal for Numerical and Analytical Methods in Geomechanics,2001,25(4):365–390.
[5]丁春林,刘建国,宫全美,等.盾构隧道管片衬砌内力计算方法比较[J].地下空间,2001,21(3):208–209.(DING Chunlin,LIU Jianguo,GONG Quanmei,et al.Internal force calculation method comparison for shield tunnel lining[J].Underground Space,2001,21(3):208–209.(in Chinese))
[6]周济民,何川,方勇,等.黄土地层盾构隧道受力监测与荷载作用模式的反演分析[J].岩土力学,2011,32(1):165–171.(ZHOU Jimin,HE Chuan,FANG Yong,et al.Mechanical property testing and back analysis of load models of metro shield tunnel lining in loess strata[J].Rock and Soil Mechanics,2011,32(1):165–171.(in Chinese))
[7]何川,封坤,杨雄.南京长江隧道超大断面管片衬砌结构体的相似模型试验研究[J].岩石力学与工程学报,2007,26(11):2 261–2 269.(HE Chuan,FENG Kun,YANG Xiong.Model test on segmental lining of Nanjing Yangtze river tunnel with super-large cross-section[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(11):2 261–2 269.(in Chinese))
[8]谭忠盛,王梦恕.隧道衬砌结构可靠度分析的二次二阶矩法[J].岩石力学与工程学报,2004,23(13):2 243–2 247.(TAN Zhongsheng,WANG Mengshu.Second-order second-moment method for structural reliability analysis of tunnel lining[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(13):2 243–2 247.(in Chinese))
[9]贺少辉,马万权,曹德胜,等.隧道湿喷纤维高性能混凝土单层永久衬砌研究[J].岩石力学与工程学报,2004,23(20):3 509–3 517.(HE Shaohui,MA Wanquan,CAO Desheng,et al.Permanent single-layer tunnel lining by fibre-reinforced high performance shotcrete and wet-mix method[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(20):3 509–3 517.(in Chinese))
[10]张顶立,张素磊,房倩,等.铁路运营隧道衬砌背后接触状态及其分析[J].岩石力学与工程学报,2010,32(2):218–224.(ZHANG Dingli,ZHANG Sulei,FANG Qian,et al.Study of contact state behind tunnel lining in process of railway operation and its analysis[J].Chinese Journal of Rock Mechanics and Engineering,2010,32(2):218–224.(in Chinese))
[11]张成平,张顶立,王梦恕,等.高水压富水区隧道限排衬砌注浆圈合理参数研究[J].岩石力学与工程学报,2007,26(11):2 270–2 276.(ZHANG Chengping,ZHANG Dingli,WANG Mengshu,et al.Study on appropriate parameters of grouting circle for tunnels with limiting discharge lining in high water pressure and water-enriched region[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(11):2 270–2 276.(in Chinese))
[12]罗彦斌,陈建勋,王梦恕.隧道斜交横通道施工对主隧道衬砌结构的影响研究[J].岩石力学与工程学报,2010,29(增2):3 792–3 798.(LUO Yanbin,CHEN Jianxun,WANG Mengshu.Study of influence of skew horizontal adit tunnel construction on main tunnel lining structure[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(Supp.2):3 792–3 798.(in Chinese))
[13]李鹏飞,张顶立,赵勇,等.大断面黄土隧道二次衬砌受力特性研究[J].岩石力学与工程学报,2010,29(8):1 690–1 696.(LI Pengfei,ZHANG Dingli,ZHAO Yong,et al.Study of mechanical characteristics of secondary lining of large-section loess tunnel[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(8):1 690–1 696.(in Chinese))
[14]中华人民共和国国家标准编写组.GB50307—2012城市轨道交通岩土工程勘察规范[S].北京:中国计划出版社,2012.(The National Standards Compilation Group of People?s Republic of China.GB50307—2012 Code for geotechnical investigations of urban rail transit[S].Beijing:China Planning Press,2012.(in Chinese))
[15]曾巧玲,崔江余,陈文化,等.基础工程[M].北京:清华大学出版社,2007:121.(ZENG Qiaoling,CUI Jiangyu,CHEN Wenhua,et al.Foundation engineering[M].Beijing:Tsinghua University Press,2007:121.(in Chinese))
[16]Broms B B.Lateral resistance of piles in cohesive soil[J].Journal of the Soil Mechanics and Foundations Division,1964,90(2):27–64.
[17]宫全美,刘建国,丁春林,等.土的侧向压力对盾构隧道衬砌圆环内力的影响[J].城市轨道交通研究,2001,(2):28–32.(GONG Quanmei,LIU Jianguo,DING Chunlin,et al.Influence on internal force of shield tunnel?s lining under soil?s lateral pressure[J].Urban Mass Transit,2001,(2):28–32.(in Chinese))