基于拟力法的框架结构静力弹塑性分析
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摘要
针对拟力法仅在刚性连接钢框架中应用的现状,根据钢筋混凝土框架以及半刚性连接钢框架的受力特点,并基于拟力法的基本假定与思路,得出了钢筋混凝土结构中塑性铰和半刚性连接钢框架中连接的弯矩-相对转角关系,从而推导并获得了拟力法在框架结构静力弹塑性分析中的通用公式。通过与有限元理论计算结果的比较,表明基于拟力法的框架结构静力弹塑性分析方法在应用于各类框架结构时都有着较高的精度,从而为将基于拟力法的动力弹塑性分析包括地震能量分析拓展到钢筋混凝土框架结构以及半刚性连接钢框架结构中奠定了基础。
According to the present situation that the force analogy method can only be applied in analysis of steel frame with rigid connections,a universal formula of the algorithm for the static elastic-plastic analysis of frame structure was derived and proposed based on the mechanic characteristics of reinforced concrete frames and steel frames with semi-rigid connections and the basic assumptions and theory of the force analogy method.The plastic hinge in reinforced concrete structure and the relation of moments and relative rotation angle in steel frames with semi-rigid connections were gained.By comparing with the results based on the finite elements calculation result,the algorithm was proved to be efficient in analyzing not only reinforced concrete frames,but also steel frames with semi-rigid connections.Authors provided a foundation for applying the dynamic elastic-plastic analysis based on the force analogy method including earthquake energy analysis extended to reinforced concrete frames as well as steel frames with semi-rigid connections.
According to the present situation that the force analogy method can only be applied in analysis of steel frame with rigid connections,a universal formula of the algorithm for the static elastic-plastic analysis of frame structure was derived and proposed based on the mechanic characteristics of reinforced concrete frames and steel frames with semi-rigid connections and the basic assumptions and theory of the force analogy method.The plastic hinge in reinforced concrete structure and the relation of moments and relative rotation angle in steel frames with semi-rigid connections were gained.By comparing with the results based on the finite elements calculation result,the algorithm was proved to be efficient in analyzing not only reinforced concrete frames,but also steel frames with semi-rigid connections.Authors provided a foundation for applying the dynamic elastic-plastic analysis based on the force analogy method including earthquake energy analysis extended to reinforced concrete frames as well as steel frames with semi-rigid connections.
引文
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[3]PARK R,PAULAY T.Reinforced Concrete Struc-tures[M].New York:Wiley,1975.
[4]顾祥林,孙飞飞.混凝土结构的计算机仿真[M].上海:同济大学出版社,2002.GU Xiang-lin,SUN Fei-fei.Computer Simulation forConcrete Structures[M].Shanghai:Tongji UniversityPress,2002.
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[6]李国强,沈祖炎.钢结构框架体系弹性及弹塑性分析与计算理论[M].上海:上海科学技术出版社,1998.LI Guo-qiang,SHEN Zu-yan.Elastic and Elastic-Plas-tic Analysis and Calculation Theory of Steel FrameSystems[M].Shanghai:Shanghai Scientific and Tech-nical Publishers,1998.
[7]WONG K K F,YANG R.Earthquake Response andEnergy Evaluation of Inelastic Structures[J].Journalof Engineering Mechanics,2002,128(3):308-317.
[8]陈绍蕃.钢结构设计原理[M].北京:科学出版社,1998.CHEN Shao-fan.Design Theory of Steel Structures[M].Beijing:Science Press,1998.
[9]马玉平,马昕,崔建涛.高强度混凝土试验研究[J].建筑科学与工程学报,2005,22(3):67-69.MA Yu-ping,MA Xin,CUI Jian-tao.ExperimentalResearch on High-Strength Concrete[J].Journal ofArchitecture and Civil Engineering,2005,22(3):67-69.
[10]杨茀康,李家宝.结构力学[M].北京:高等教育出版社,1991.YANG Fu-kang,LI Jia-bao.Structural Mechanics[M].Beijing:Higher Education Press,1991.
[11]龙驭球,包世华.结构力学[M].北京:高等教育出版社,1988.LONG Yu-qiu,BAO Shi-hua.Structural Mechanics[M].Beijing:Higher Education Press,1988.
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