基于改进能力谱法的砼框架Pushover分析
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摘要
基于钢筋砼杆件截面的轴力-弯矩-曲率关系,建立了考虑杆件P-Δ效应和剪切变形且能分析框架极限状态的非线性有限元法。提出了改进能力谱法,定义了砼框架结构唯一的延性系数,确定Pushover曲线的极限状态点为性能点,通过性能点位于由延性系数所折减的非弹性需求谱曲线上的条件,求出框架的最大抗震谱加速度,评估框架的抗震性能。兼顾承载能力,得出相对受压区高度0.25―0.35,轴压比0.6―0.8的框架,具有较好的抗震性能。
Based on the relationship among axial force-bending moment-curvature on the section of the reinforced concrete member, a nonlinear finite element method considering P-? effect and shear deformation of the member as well as analyzing the ultimate state of the frame is established. Thusly, an improved capacity spectrum method is put forward, the unique ductility factor of concrete frame is defined and the point of ultimate state in Pushover curve is determined as the demand point. On the condition that the demand point locates at the inelastic demand spectrum curve reduced by ductility factor, the maximum seismic spectrum acceleration is obtained to evaluate the seismic behavior of the frame. By balancing load carrying capacity, it's concluded that the frames with 0.25―0.35 relative depth of compressive zone and 0.6―0.8 axial compressive ratios perform good seismic behavior.
Based on the relationship among axial force-bending moment-curvature on the section of the reinforced concrete member, a nonlinear finite element method considering P-? effect and shear deformation of the member as well as analyzing the ultimate state of the frame is established. Thusly, an improved capacity spectrum method is put forward, the unique ductility factor of concrete frame is defined and the point of ultimate state in Pushover curve is determined as the demand point. On the condition that the demand point locates at the inelastic demand spectrum curve reduced by ductility factor, the maximum seismic spectrum acceleration is obtained to evaluate the seismic behavior of the frame. By balancing load carrying capacity, it's concluded that the frames with 0.25―0.35 relative depth of compressive zone and 0.6―0.8 axial compressive ratios perform good seismic behavior.
引文
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[9]魏琏,王森.静力弹塑性分析方法的修正及其在抗震设计中的应用[J].建筑结构,2006,36(8):97―102.Wei Lian,Wang Sen.Modification on nonlinear static analysis method and application in seismic design of tall building[J].Building Structure,2006,36(8):97―102.(in Chinese)
[10]王亚勇.关于设计反应谱、时程法和能量方法的探讨[J].建筑结构学报,2000,21(1):21―28.Wang Yayong.A review of seismic response spectra,time history analysis and energy method[J].Journal of Building Structures,2000,21(1):21―28.(in Chinese)
[11]吕西林,金国芳.钢筋混凝土结构非线性有限元理论与应用[M].上海:同济大学出版社,1997.Lu Xilin,Jin Guofang.Theory and application of nonlinear finite element for RC structure[M].Shanghai:Tongji University Press,1997.(in Chinese)
[2]Building Seismic Safety Council.NEHRP guidelines for the seismic rehabilitation of buildings,FEMA-273[S].Federal Emergency Management Agency,Washington,DC,1997.
[3]王威,孙景江.基于改进能力谱方法的位移反应估计[J].地震工程与工程振动,2003,23(6):37―43.Wang Wei,Sun Jingjiang.Estimation of displacement response based on improved capacity spectrum method[J].Earthquake Engineering and Engineering Vibration,2003,23(6):37―43.(in Chinese)
[4]Chopra Anil K,Goel Rakesh K.A modal pushover analysis procedure for estimating seismic demands for building[J].Earthquake Engineering and Structural Dynamics,2002,31(3):561―582.
[5]Vidic T,Fajfar P,Fischinger M.Consistent inelastic design spectra:strength and displacement[J].Earthquake Engineering and Structural Dynamics,1994,23(5):507―521.
[6]侯爽,欧进萍.结构Pushover分析的侧向力分布及高阶振型影响[J].地震工程与工程振动,2004,24(3):89―97.Hou Shuang,Ou Jinping.A study of load pattern selection of Pushover analysis and influence of higher modes[J].Earthquake Engineering and Engineering Vibration,2004,24(3):89―97.(in Chinese)
[7]吕西林,周定松.考虑场地类别与设计分组的延性需求谱和弹塑性位移反应谱[J].地震工程与工程振动,2004,24(1):39―48.Lu Xilin,Zhou Dingsong.Ductility demand spectra and inelastic displacement spectra considering soil condition and design characteristic periods[J].Earthquake Engineering and Engineering Vibration,2004,24(1):39―48.(in Chinese)
[8]尹华伟,汪梦甫.结构静力弹塑性分析方法的研究和改进[J].工程力学,2003,20(4):45―49.Yin Huawei,Wang Mengfu.Studies and improvements on structural static Pushover analysis method[J].Engineering Mechanics,2003,20(4):45―49.(in Chinese)
[9]魏琏,王森.静力弹塑性分析方法的修正及其在抗震设计中的应用[J].建筑结构,2006,36(8):97―102.Wei Lian,Wang Sen.Modification on nonlinear static analysis method and application in seismic design of tall building[J].Building Structure,2006,36(8):97―102.(in Chinese)
[10]王亚勇.关于设计反应谱、时程法和能量方法的探讨[J].建筑结构学报,2000,21(1):21―28.Wang Yayong.A review of seismic response spectra,time history analysis and energy method[J].Journal of Building Structures,2000,21(1):21―28.(in Chinese)
[11]吕西林,金国芳.钢筋混凝土结构非线性有限元理论与应用[M].上海:同济大学出版社,1997.Lu Xilin,Jin Guofang.Theory and application of nonlinear finite element for RC structure[M].Shanghai:Tongji University Press,1997.(in Chinese)
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