静力弹塑性分析方法在煤矸石混凝土框架抗震设计中的应用研究
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摘要
本文的研究目的是使用静力弹塑性分析方法(Push-over方法)研究煤矸石混凝土框架的弹塑性极限变形问题。本文依据静力弹塑性分析方法的原理，编写了关于钢筋混凝土框架的荷载-位移非线性曲线关系的计算程序，其中考虑了框架的二阶效应的影响，对两种采用不同加载制度的共11榀煤矸石混凝土框架进行了荷载-位移全过程非线性计算分析，通过分析得到的计算结果，说明了本文程序的准确性，从而验证了静力弹塑性分析方法在实际抗震设计中的可行性。
通过比较这11榀煤矸石混凝土框架由本文方法得到的计算值与其试验值，总结了本文方法产生误差的一些相关原因，讨论了煤矸石混凝土框架刚度折减系数的取值问题，对比其它非线性分析方法，表明了本文方法的简便性和准确性，进而预测了本文所使用方法在未来工程实际中的可用性和适用性。
一11一太原理工大学硕_I:学位论文
使用本文程序另外模拟计算了30榻煤研石混凝土框架，进
一步分析了轴压比和配箍率对煤研石混凝土框架柱曲率延性
的影响，编写程序计算了30根煤研石混凝土框架柱，对煤研
石混凝土框架柱的侧向变形能力进行了研究，分析了柱塑性铰
的转动能力，导出了煤研石混凝土框架柱的曲率延性系数与配
箍率的关系式，分析了煤研石混凝土框架柱的曲率延性系数与
框架柱相对侧向位移的关系，讨论了煤研石混凝土框架柱在不
同轴压比下最小配箍率的取值问题。
最后得出结论，本文使用的考虑一些简化计算假定的静力
弹塑性分析方法结果比较准确、合理，很适宜在实际工程计算
中推广使用。
The researching aim of this paper is using Push-over method to research the elastic-plastic ultimate deformation of Self-combusted Gangue Reinforced Concrete (SGRC) frame. On the basis of the fundamental principle of Push-over method, together with some basic assumptions, this paper edit computer program of the loading-displacement skeleton curves of the SGRC frame, considering P-Delta effect. Then this paper use this program to calculate and analysis the loading-displacement nonlinear relations of eleven SGRC frames, which are in two different loading modes. The results calculated by computer are in good agreement with experimental values, so this program is accurate, and the Push-over method is practicable analytical method in actual anti-seismic design.
Combined with the experimental values of eleven SGRC frames, the results calculated by computer program of this paper have some errors, so this paper analysis some relative reasons which can cause error. The proper ascertainment of the value of stiffness reduction factor of the components of SGRC frames is discussed.
By contrasting Push-over method with some other nonlinear analytical methods, this paper indicates this method in this paper is a simple and convenient method, and this method is practicable and applicable in future engineering.
This paper uses the computer program to calculate other thirty SGRC frames, and further analysis the effects of different axial loading ratios and volumetric ratios of hoops to the curvature ductility of SGRC frame column. Then, this paper edits other computer program to calculate thirty SGRC frame columns, and researches the drift capacity of SGRC frame column, and analysis the turning capacity of frame column' s plastic hinge. Then the relational expression of the curvature ductility factor and ratio of hoops of SGRC frame columns is derived. This paper analysis the relation of the curvature ductility factor and the relative drift of SGRC frame columns, and discuss the question of the minimum values of ratios of hoops of SGRC frame column at different axial load ratios.
In a word, the Push-over method in this paper, which has some simple assumptions, is accurate and rational, and is fitted to application and dissemination in actual engineering.
通过比较这11榀煤矸石混凝土框架由本文方法得到的计算值与其试验值，总结了本文方法产生误差的一些相关原因，讨论了煤矸石混凝土框架刚度折减系数的取值问题，对比其它非线性分析方法，表明了本文方法的简便性和准确性，进而预测了本文所使用方法在未来工程实际中的可用性和适用性。
一11一太原理工大学硕_I:学位论文
使用本文程序另外模拟计算了30榻煤研石混凝土框架，进
一步分析了轴压比和配箍率对煤研石混凝土框架柱曲率延性
的影响，编写程序计算了30根煤研石混凝土框架柱，对煤研
石混凝土框架柱的侧向变形能力进行了研究，分析了柱塑性铰
的转动能力，导出了煤研石混凝土框架柱的曲率延性系数与配
箍率的关系式，分析了煤研石混凝土框架柱的曲率延性系数与
框架柱相对侧向位移的关系，讨论了煤研石混凝土框架柱在不
同轴压比下最小配箍率的取值问题。
最后得出结论，本文使用的考虑一些简化计算假定的静力
弹塑性分析方法结果比较准确、合理，很适宜在实际工程计算
中推广使用。
The researching aim of this paper is using Push-over method to research the elastic-plastic ultimate deformation of Self-combusted Gangue Reinforced Concrete (SGRC) frame. On the basis of the fundamental principle of Push-over method, together with some basic assumptions, this paper edit computer program of the loading-displacement skeleton curves of the SGRC frame, considering P-Delta effect. Then this paper use this program to calculate and analysis the loading-displacement nonlinear relations of eleven SGRC frames, which are in two different loading modes. The results calculated by computer are in good agreement with experimental values, so this program is accurate, and the Push-over method is practicable analytical method in actual anti-seismic design.
Combined with the experimental values of eleven SGRC frames, the results calculated by computer program of this paper have some errors, so this paper analysis some relative reasons which can cause error. The proper ascertainment of the value of stiffness reduction factor of the components of SGRC frames is discussed.
By contrasting Push-over method with some other nonlinear analytical methods, this paper indicates this method in this paper is a simple and convenient method, and this method is practicable and applicable in future engineering.
This paper uses the computer program to calculate other thirty SGRC frames, and further analysis the effects of different axial loading ratios and volumetric ratios of hoops to the curvature ductility of SGRC frame column. Then, this paper edits other computer program to calculate thirty SGRC frame columns, and researches the drift capacity of SGRC frame column, and analysis the turning capacity of frame column' s plastic hinge. Then the relational expression of the curvature ductility factor and ratio of hoops of SGRC frame columns is derived. This paper analysis the relation of the curvature ductility factor and the relative drift of SGRC frame columns, and discuss the question of the minimum values of ratios of hoops of SGRC frame column at different axial load ratios.
In a word, the Push-over method in this paper, which has some simple assumptions, is accurate and rational, and is fitted to application and dissemination in actual engineering.
引文
[1] 于庆荣、颜德媛、程文攘．“混凝土结构(上册)”．中国建筑工业出版社．1994．
[2] 黄振国．“钢筋混凝土连续梁和框架的非线性计算”．郑州工学院学报．1985．2．P55-70．
[3] A. L. L. Baker. "The Ultimate-load Theory Applied to the Design of Reinforced & Prestressed Concrete Frames". Concrete Publication, Ltd, London. 1956. P91.
[4] 胡德析、曹居易．“钢筋混凝土连续梁内力重分布的特征和计算”．超静定钢筋混凝土结构塑性内力重分布研究报告集．建工部建筑科学研究院．1963．6．P1-10．
[5] C. B. Wilky, and T. Pandit. "In-Elastic Behavior of R. C. Single -Bay Portal Frames". Civil Engineering and Public Works Review, Mar. 1967. P331-336.
[6] Angel L. Lazaro, and Rowland Richards. "Full-Range Analysis of Concrete Frames". J. str. Div. ASCE, Aug., 1973. P1761-1783.
[7] Read, J. B., "Testing to Destruction of Full-Size Portal Frames". Technical Report TRA/390, Cement and Concrete Association, London, England, Aug., 1965.
[8] Cranston, W. B., "Tests on Reinforced Concrete Frames, 1: Pinned Portal Frames". Technical Report TRA/392, Cement and Concrete Association, London, England, Aug., 1965.
[9] 周基岳、刘南科．“框架非线性分析中的截面弯矩-曲率关系”．重庆
建筑工程学院学报．1984，No．2．
[10] 刘南科、周基岳、肖允薇．“钢筋混凝土框架非弹性分析及试验研究”．重庆建筑工程学院学报．1984．3．
[11] Y. L. Mo. "Moment Redistribution in Reinforced Concrete Frames". Journal A.C.I. July-Aug., 1986, P577-587.
[12] G. C. Ernst, G. M. Smith, A. R. Riveland, and E N. Pierce, "Basic Reinforced Concrete Frame Performance Under Vertical and Lateral Loads". Journal A.C.I. Apr., 1973, P261-269.
[13] 钟益村等．“二层双跨钢筋混凝土框架弹塑性性能试验研究”．建筑结构学报．1981，No．3．
[14] 冯世平．“钢筋混凝土框架结构屈服后性能的研究”．清华大学土木系博士学位论文．1985．
[15] P. Govindan, M. LaKshmipathy, and A. R. Santhekumar, "Ductility of Infilled Frames". ACI Journal, July-Aug., 1986.
[16] 余东安等．“弱梁型框架层间变形能力计算方法”．同济大学学报．1984，No．3．
[17] 胡新丽．“钢筋混凝土结构非线性研究”．湖南大学博士论文．1988．5．
[18] 钱稼茹、罗文斌．“静力弹塑性分析——基于性能／位移抗震设计的分析工具”．建筑结构．2000，Vol．30，No．6．P23-26．
[19] 张巍、孟少平．“混凝土结构基于位移的抗震能力设计”．工程抗震．2002，No．3．
[20] 张巍、孟少平、吕志涛．“预应力混凝土框架结构抗震能力的能量评估法”．东南大学学报(自然科学版)．2001，Vol．31，No．6．P1-3．
[21] 张巍、孟少平、吕志涛．“预应力混凝土框架结构抗震延性的静力弹塑性分析”．工业建筑．2002，Vol．32，No．6．P36-38．
[22] 叶燎原、潘文．“结构静力弹塑性分析(Push-over)的原理和计算实例”．建筑结构学报．2000，
[23] 童申家、童岳生．“水平地震力作用下框架结构二阶效应影响分析”．工业建筑．2000，Vol．30，No．8．P17-20．
[24] 王理、王亚勇、程绍革．“空间结构非线性静力分析的工程应用”．建筑结构学报．2000，Vol．21，No．1．P57-62．
[25] 王传志、滕智明．“钢筋混凝土结构理论”．中国建筑工业出版社．1983．11．
[26] 马福．“周期反复荷载下钢筋煤矸石混凝土框架的性能”．太原工业大学硕士研究生论文．1990．3．
[27] 何伟．“钢筋煤矸石混凝土框架内力重分布的试验研究”．太原工业大学硕士研究生论文．1988．7．
[28] Park, R., Paulay, T., "Reinforced Concrete Structures". New York, A Wiley-interscience Publication. 1975.
[29] 朱伯龙、董振祥．“钢筋混凝土非线性分析”．同济大学出版社．1985．1．
[30] 高振世、庞同和．“钢筋混凝土框架单元的延性和塑性铰性能”．南京工学院土木工程系．1985．6．
[31] 王福明、曾建民、段炼．“钢筋混凝土压弯构件塑性铰的试验研究”．太原工业大学学报．1989，Vol．20，No．4．P20-29．
[32] 煤矸石混凝土框架专题组．“钢筋煤矸石混凝土框架在单调与反复荷载下的力学性能”．混凝土结构研究报告选集(3)．中国建筑工业出版社．1994．6．P352-361．
[33] 孟少平、韩重庆、吕志涛．“多层多跨部分预应力混凝土框架结构抗震延性设计方法的探讨”．地震工程与工程振动．1999，Vol．19，No．1．P38-46．
[34] ACI Committee 318, Building Code Requirements for Structural Concrete(ACI 318-95) and Commentary (ACI 318 R-95) [S]. American Concrete Institute, Detriot, 1995.
[35] New Zealand Standard Concrete Structure Standard(NZS310)(1994).
[36] 刘毅、魏巍、白绍良．“考虑非弹性特征的钢筋混凝土框架杆件刚度折减系数”．重庆建筑大学学报．2002，Vol．22，No．1．P25-32．
[37] 谭浩强、田淑清．“FORTRAN语言”．清华大学出版社．1995．
[38] 吕西林、金国芳、吴晓涵．“钢筋混凝土结构非线性有限元理论与应用”．同济大学出版社．1997．
[39] 龙驭球、包世华．“结构力学(第二版)上、下册”．高等教育出版社．1996．
[40] 林大炎、王传志．“矩形箍筋约束混凝土应力-应变曲线研究”．清华大学抗震抗爆工程研究室．科学研究报告集．第三集．1981．P19-38．
[41] King, J. W. H, "Some investigation of the effects of core size and streel and concrete quality in short reinforced concrete columns". MCR, June, 1949. P47-56.
[42] 冯文化．“钢筋煤矸石混凝土压弯构件在反复荷载下的性能”．太原工业大学硕士研究生论文．1991．6．
[43] 熊朝晖、潘德恩．“钢筋混凝土框架柱侧向变形能力的研究”．地震工程与工程振动．2001，Vol．21，No．2．P103-108．
[44] 建筑抗震设计规范(GB50011-2001)．中国建筑工业出版社．2001．
[45] 混凝土结构设计规范(GB50010-2002)．中国建筑工业出版社．2002．
[2] 黄振国．“钢筋混凝土连续梁和框架的非线性计算”．郑州工学院学报．1985．2．P55-70．
[3] A. L. L. Baker. "The Ultimate-load Theory Applied to the Design of Reinforced & Prestressed Concrete Frames". Concrete Publication, Ltd, London. 1956. P91.
[4] 胡德析、曹居易．“钢筋混凝土连续梁内力重分布的特征和计算”．超静定钢筋混凝土结构塑性内力重分布研究报告集．建工部建筑科学研究院．1963．6．P1-10．
[5] C. B. Wilky, and T. Pandit. "In-Elastic Behavior of R. C. Single -Bay Portal Frames". Civil Engineering and Public Works Review, Mar. 1967. P331-336.
[6] Angel L. Lazaro, and Rowland Richards. "Full-Range Analysis of Concrete Frames". J. str. Div. ASCE, Aug., 1973. P1761-1783.
[7] Read, J. B., "Testing to Destruction of Full-Size Portal Frames". Technical Report TRA/390, Cement and Concrete Association, London, England, Aug., 1965.
[8] Cranston, W. B., "Tests on Reinforced Concrete Frames, 1: Pinned Portal Frames". Technical Report TRA/392, Cement and Concrete Association, London, England, Aug., 1965.
[9] 周基岳、刘南科．“框架非线性分析中的截面弯矩-曲率关系”．重庆
建筑工程学院学报．1984，No．2．
[10] 刘南科、周基岳、肖允薇．“钢筋混凝土框架非弹性分析及试验研究”．重庆建筑工程学院学报．1984．3．
[11] Y. L. Mo. "Moment Redistribution in Reinforced Concrete Frames". Journal A.C.I. July-Aug., 1986, P577-587.
[12] G. C. Ernst, G. M. Smith, A. R. Riveland, and E N. Pierce, "Basic Reinforced Concrete Frame Performance Under Vertical and Lateral Loads". Journal A.C.I. Apr., 1973, P261-269.
[13] 钟益村等．“二层双跨钢筋混凝土框架弹塑性性能试验研究”．建筑结构学报．1981，No．3．
[14] 冯世平．“钢筋混凝土框架结构屈服后性能的研究”．清华大学土木系博士学位论文．1985．
[15] P. Govindan, M. LaKshmipathy, and A. R. Santhekumar, "Ductility of Infilled Frames". ACI Journal, July-Aug., 1986.
[16] 余东安等．“弱梁型框架层间变形能力计算方法”．同济大学学报．1984，No．3．
[17] 胡新丽．“钢筋混凝土结构非线性研究”．湖南大学博士论文．1988．5．
[18] 钱稼茹、罗文斌．“静力弹塑性分析——基于性能／位移抗震设计的分析工具”．建筑结构．2000，Vol．30，No．6．P23-26．
[19] 张巍、孟少平．“混凝土结构基于位移的抗震能力设计”．工程抗震．2002，No．3．
[20] 张巍、孟少平、吕志涛．“预应力混凝土框架结构抗震能力的能量评估法”．东南大学学报(自然科学版)．2001，Vol．31，No．6．P1-3．
[21] 张巍、孟少平、吕志涛．“预应力混凝土框架结构抗震延性的静力弹塑性分析”．工业建筑．2002，Vol．32，No．6．P36-38．
[22] 叶燎原、潘文．“结构静力弹塑性分析(Push-over)的原理和计算实例”．建筑结构学报．2000，
[23] 童申家、童岳生．“水平地震力作用下框架结构二阶效应影响分析”．工业建筑．2000，Vol．30，No．8．P17-20．
[24] 王理、王亚勇、程绍革．“空间结构非线性静力分析的工程应用”．建筑结构学报．2000，Vol．21，No．1．P57-62．
[25] 王传志、滕智明．“钢筋混凝土结构理论”．中国建筑工业出版社．1983．11．
[26] 马福．“周期反复荷载下钢筋煤矸石混凝土框架的性能”．太原工业大学硕士研究生论文．1990．3．
[27] 何伟．“钢筋煤矸石混凝土框架内力重分布的试验研究”．太原工业大学硕士研究生论文．1988．7．
[28] Park, R., Paulay, T., "Reinforced Concrete Structures". New York, A Wiley-interscience Publication. 1975.
[29] 朱伯龙、董振祥．“钢筋混凝土非线性分析”．同济大学出版社．1985．1．
[30] 高振世、庞同和．“钢筋混凝土框架单元的延性和塑性铰性能”．南京工学院土木工程系．1985．6．
[31] 王福明、曾建民、段炼．“钢筋混凝土压弯构件塑性铰的试验研究”．太原工业大学学报．1989，Vol．20，No．4．P20-29．
[32] 煤矸石混凝土框架专题组．“钢筋煤矸石混凝土框架在单调与反复荷载下的力学性能”．混凝土结构研究报告选集(3)．中国建筑工业出版社．1994．6．P352-361．
[33] 孟少平、韩重庆、吕志涛．“多层多跨部分预应力混凝土框架结构抗震延性设计方法的探讨”．地震工程与工程振动．1999，Vol．19，No．1．P38-46．
[34] ACI Committee 318, Building Code Requirements for Structural Concrete(ACI 318-95) and Commentary (ACI 318 R-95) [S]. American Concrete Institute, Detriot, 1995.
[35] New Zealand Standard Concrete Structure Standard(NZS310)(1994).
[36] 刘毅、魏巍、白绍良．“考虑非弹性特征的钢筋混凝土框架杆件刚度折减系数”．重庆建筑大学学报．2002，Vol．22，No．1．P25-32．
[37] 谭浩强、田淑清．“FORTRAN语言”．清华大学出版社．1995．
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