梁单元模拟管片接头的盾构衬砌计算模型
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摘要
目前考虑接头刚度的盾构非均质衬砌模型需要借助专业有限元软件计算,本文提出了用通用有限元软件来实现该功能的计算方法,即用普通梁单元模拟盾构衬砌管片接头。本文研究了实现该模型的关键问题,即建立起管片接头刚度、环间接头刚度与梁单元的几何参数、物理参数之间的关系。理论推导与数值计算表明:在模拟管片之间的接头时,Timoshenko梁能同时模拟接头的转动刚度、轴向刚度和剪切刚度,而Euler-Bernoulli梁只能模拟接头的转动刚度和轴向刚度;在模拟管片环之间的接头时,Timoshenko梁与Euler-Bernoulli梁均可以实现环间接头刚度的模拟,采用后者时求解梁单元截面参数比前者更简便。该模型能实现专业盾构隧道计算软件的主要功能,从而为盾构衬砌计算提供了一种简单、实用的方法。
Professional FEM softwares are usually employed as calculating structure with segment joints of shield tunnel,the paper presents a model using general FEM software to calculate the structure,which simulates segment joints as common beam elements.The paper studied the key problem of the model which is to establish relationship between stiffness of any segment joint and parameters of beam element.For transversal segment joints,theoretical derivation and numerical calculation shows that Timoshenko beam can simulate rotational stiffness,axial stiffness and shear stiffness,and Euler-Bernoulli beam can simulate rotational stiffness and axial stiffness.For longitudinal joints,both Timoshenko beam and Euler-Bernoulli beam may be used,and parameters solution of Euler-Bernoulli beam is simplier.The model can be used to carry out main functions of professional softwares for shield tunnel,therefore,it is convenient and practical.
Professional FEM softwares are usually employed as calculating structure with segment joints of shield tunnel,the paper presents a model using general FEM software to calculate the structure,which simulates segment joints as common beam elements.The paper studied the key problem of the model which is to establish relationship between stiffness of any segment joint and parameters of beam element.For transversal segment joints,theoretical derivation and numerical calculation shows that Timoshenko beam can simulate rotational stiffness,axial stiffness and shear stiffness,and Euler-Bernoulli beam can simulate rotational stiffness and axial stiffness.For longitudinal joints,both Timoshenko beam and Euler-Bernoulli beam may be used,and parameters solution of Euler-Bernoulli beam is simplier.The model can be used to carry out main functions of professional softwares for shield tunnel,therefore,it is convenient and practical.
引文
[1]Murakami H,Koizumi A.Study on load bearing capacity and mechanics of shield segment ring(in Japanese).Proc for the Japan Society for Civil Engineers,1978,272(4):103-115.
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[5]傅衣铭,熊慧而.材料力学[M].长沙:湖南大学出版社,2007.(Fu Yiming,Xiong Huier.Mechanics of materials[M].Changsha:Hunan University Press,2007.(in Chinese))
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[2]朱合华,崔茂玉,杨金松.盾构衬砌管片的设计模型与荷载分布的研究[J].岩土工程学报,2000,22(2):190-194.(Zhu Hehua,Cui Maoyu,Yang Jinsong.Design model for shield lining segments and distribution of load[J].Chinese Journal of Geotechnical Engineering,2000,22(2):190-194.(in Chinese))
[3]朱伟,黄正荣,梁精华.盾构衬砌管片的壳-弹簧设计模型研究[J].岩土工程学报,2006,28(8):940-947.(Zhu Wei,Huang Zhengrong,Liang Jinghua.Studies on shell-spring design model for segment of shield tunnels[J].Chinese Journal of Geotechnical Engineering,2006,28(8):940-947.(in Chinese))
[4]刘晶波,李彬,谷音.地铁盾构隧道地震反应分析[J].清华大学学报(自然科学版),2005,45(6),757-760.(Liu Jingbo,Li Bin,Gu Yin.Seismic response analysis of shielded subway tunnels[J].Journal of T singhua University(Sci&Tech),2005,45(6),757-760.(in Chinese))
[5]傅衣铭,熊慧而.材料力学[M].长沙:湖南大学出版社,2007.(Fu Yiming,Xiong Huier.Mechanics of materials[M].Changsha:Hunan University Press,2007.(in Chinese))
[6]周顺华.城市轨道交通结构工程[M].上海:同济大学出版社,2004.(Zhou Shunhua.Stucture enginnering of rail transportation in city[M].Shanghai:Tongji University Press,2004.(in Chinese))
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