高效非线性混凝土杆单元模型研究
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摘要
该文提出了适用于推覆分析的高效非线性混凝土杆单元模型,并编制了相应的计算机程序。在截面分析中,采用对横截面外围线的线积分来得到积分结果,只需很少的积分点就能得到精确解。在杆单元分析中,采用子结构技术,用一个杆单元模拟一根柱或一根梁,提高精度的同时大大减少了结构的自由度。通过3个不同类型算例的计算分析,对比了该文程序和通用有限元软件ADINA的计算结果和计算时间,结果表明,该文提出的杆单元模型具有准确、高效的优势,所编制分析程序运行稳定,结果可靠,可应用于实际工程的非线性计算分析。
An efficient nonlinear reinforced concrete bar element is proposed, which is applicable to push-over analysis. Corresponding computer program is created. In cross-section analysis, integral results are obtained by using line integral over the external line of cross-section, thus exact solutions are obtained with fewer integral points. In bar element analysis, substructure technology is used. A column or a beam is modeled as one bar element, as a result, accuracy is improved and degrees of freedom are reduced. Through the analysis of three different examples, results calculated by the proposed element and by ADINA, a general purpose finite element software, are compared. The results show that the proposed bar element has advantages of preciseness and efficiency, and can be applied to the practical engineering.
An efficient nonlinear reinforced concrete bar element is proposed, which is applicable to push-over analysis. Corresponding computer program is created. In cross-section analysis, integral results are obtained by using line integral over the external line of cross-section, thus exact solutions are obtained with fewer integral points. In bar element analysis, substructure technology is used. A column or a beam is modeled as one bar element, as a result, accuracy is improved and degrees of freedom are reduced. Through the analysis of three different examples, results calculated by the proposed element and by ADINA, a general purpose finite element software, are compared. The results show that the proposed bar element has advantages of preciseness and efficiency, and can be applied to the practical engineering.
引文
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[4]丁光莹,李杰.混凝土框架结构非线性静力分析的随机模拟[J].同济大学学报,2003,31(4):389―394.Ding Guangying,Li Jie.Random simulation study on nonlinear static performance of reinforced concrete frame structure[J].Journal of Tongji University,2003,31(4):389―394.(in Chinese)
[5]Fabio F Taucer,Enrico S.Fiber beam-column model for seismic response analysis of reinforced concrete structures[R].University of California,Berkeley:EERC91-17,1991.
[6]Spaconee,Filippouf,Taucerf.Fiber beam-column modeling for non-linear analysis of R/C frames[J].Journal of Earthquake Engineering and Structural Dynamics,1996,25:711―725.
[7]张强,周德源,伍永飞,邹翾.钢筋混凝土框架结构非线性分析纤维模型研究[J].结构工程师,2008,24(1):15―20.Zhang Qiang,Zhou Deyuan,Wu Yongfei,Zou Xuan.Nonlinear analysis of reinforced concrete frame[J].Structural Engineers,2008,24(1):15―20.(in Chinese)
[8]梁兴文,叶艳霞.混凝土结构非线性分析[M].北京:中国建筑工业出版社,2007.Liang Xingwen,Ye Yanxia.Nonlinear analysis of concrete structures[M].Beijing:China Building Industry Press,2007.(in Chinese)
[9]Mojekwu E C.Nonlinear analysis of reinforced concrete frame[M].The University of Texas at Arlington,1986.
[10]Crisfield M A.An arc-length method including line search and accelerations[J].International Journal for Numerical Methods in Engineering,1983,19:1269―1289.
[11]胡文进,杜新喜,万金国.切面弧长法和增量步内弧长的控制[J].武汉大学学报(工学版),2008,41(6):79―82.Hu Wenjin,Du Xinxi,Wan Jinguo.Tangent plane arc-length method and arc-length control in incremental step[J].Engineering Journal of Wuhan University,2008,41(6):79―82.(in Chinese)
[2]杨溥,李英民,王亚勇,赖明.结构静力弹塑性分析(push-over)方法的改进[J].建筑结构学报,2000,21(1):44―51.Yang Pu,Li Yingmin,Wang Yayong,Lai Ming.A study on improvement of push-over analysis[J].Journal of Building Structures,2000,21(1):44―51.(in Chinese)
[3]朱杰江,吕西林,容柏生.复杂体型高层结构的推覆分析方法和应用[J].地震工程与工程振动,2003,23(2):26―36.Zhu Jiejiang,Lu Xilin,Rong Baisheng.Push-over analysis method and its application to RC tall building with complex structural type[J].Earthquake engineering and engineering vibration,2003,23(2):26―36.(in Chinese)
[4]丁光莹,李杰.混凝土框架结构非线性静力分析的随机模拟[J].同济大学学报,2003,31(4):389―394.Ding Guangying,Li Jie.Random simulation study on nonlinear static performance of reinforced concrete frame structure[J].Journal of Tongji University,2003,31(4):389―394.(in Chinese)
[5]Fabio F Taucer,Enrico S.Fiber beam-column model for seismic response analysis of reinforced concrete structures[R].University of California,Berkeley:EERC91-17,1991.
[6]Spaconee,Filippouf,Taucerf.Fiber beam-column modeling for non-linear analysis of R/C frames[J].Journal of Earthquake Engineering and Structural Dynamics,1996,25:711―725.
[7]张强,周德源,伍永飞,邹翾.钢筋混凝土框架结构非线性分析纤维模型研究[J].结构工程师,2008,24(1):15―20.Zhang Qiang,Zhou Deyuan,Wu Yongfei,Zou Xuan.Nonlinear analysis of reinforced concrete frame[J].Structural Engineers,2008,24(1):15―20.(in Chinese)
[8]梁兴文,叶艳霞.混凝土结构非线性分析[M].北京:中国建筑工业出版社,2007.Liang Xingwen,Ye Yanxia.Nonlinear analysis of concrete structures[M].Beijing:China Building Industry Press,2007.(in Chinese)
[9]Mojekwu E C.Nonlinear analysis of reinforced concrete frame[M].The University of Texas at Arlington,1986.
[10]Crisfield M A.An arc-length method including line search and accelerations[J].International Journal for Numerical Methods in Engineering,1983,19:1269―1289.
[11]胡文进,杜新喜,万金国.切面弧长法和增量步内弧长的控制[J].武汉大学学报(工学版),2008,41(6):79―82.Hu Wenjin,Du Xinxi,Wan Jinguo.Tangent plane arc-length method and arc-length control in incremental step[J].Engineering Journal of Wuhan University,2008,41(6):79―82.(in Chinese)
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