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型钢钢筋混凝土框架结构随机地震反应分析

Random Earthquake Response Research of Steel Reinforced Concrete Frame Structure

【作者】 朱佳宁

【导师】 白国良;

【作者基本信息】 西安建筑科技大学 , 防灾减灾工程及防护工程, 2008, 博士

【摘要】 与其它传统结构相比,型钢混凝土结构具有独特的优点和良好的抗震性能,是一种有广泛应用前景的钢与混凝土组合结构形式。随机振动理论应用于研究地震工程以来,已经取得了相当的成果,对指导结构抗震、减小地震造成的各种灾害发挥了很大的作用。随着强震地面运动集散地记录的积累和人们对地面运动特征认识的不断深化,基于振动理论的抗震设计理念和方法最终将替代现有的确定性设计方法。开展随机地震作用下的型钢钢筋混凝土结构响应分析是十分必要的。本文的主要工作内容如下:1)基于结构随机振动研究现状,详细分析了虚拟激励法和概率密度演化在工程结构抗震分析中的应用;2)选取地震动随机模型,根据随机振动理论采用迭代方法求解出与我国现行规范设计反应谱相对应的功率谱密度函数,运用非线性拟合技术拟合上述功率谱密度函数,给出与规范相应的功率谱参数;3)完成了6个型钢高强混凝土柱的试验研究,得到了试件的破坏形态、滞回曲线、骨架曲线。对应于不同参数的型钢高强混凝土柱的破坏形态和滞回特性,分析了轴压力系数、配箍率对型钢高强混凝土柱抗震性能的影响;4)根据构件反复加载试验结果和分析,建立了型钢钢筋混凝土结构的光滑恢复力模型参数与结构设计参数的关系,利用等效线性化方法,进行了剪切型型钢钢筋混凝土框架结构弹塑性随机变形反应分析;5)基于随机因子法构建随机型钢混凝土框架结构的动力响应分析模型并给出求解方法,从SRC框架结构随机响应在频域上的表达式出发,推导随机SRC框架结构在平稳随机激励和非平稳随机激励下位移响应均方值和应力响应均方值的均值、方差和变异系数的计算表达式;6)基于结构的随机破损分析方法,以变形和耗能的线性组合定义结构的破损度,对SRC模型进行了期望破损度分析和结构的模糊动力可靠性分析。

【Abstract】 Compared with other traditional structures, the steel reinforced concrete structure is possessed of distinctive advantages and fine seismic behaviors, so it, which belongs to one of the composite structures of steel and concrete, will be widely used in project field. Since the random vibration theory was applied to this field, so many achievements have been accomplished and greatly promoted the work of earthquake-resistant practice.With the development study of the strong emotion records and the ground emotion characteristics, the certain design methods in using will be replaced by the earthquake-resistant design concept and method based on random vibration theory. So, the research of the steel reinforced concrete structure is very necessary. The main research works can be described as follows:1) Based on the review of the development of random vibration theory, the pseudo-excitation method and probability density evolution method on earthquake-resistant analysis of engineering are discussed in detail.2) According to random vibration theory, the power spectral density function consistent to response spectrum of earthquake-resistant design code was obtained by iterative method, and which was imitated by nonlinear method. So, the power spectral density parameter consistent to design code was obtained.3) Failure patterns, hysterics curves, skeleton curves of steel reinforced high strength concrete columns are obtained by tests of 6 specimens. The influences of axial compression coefficient and stirrup ratio on the seismic performance of steel reinforced high strength concrete columns are analyzed.4) By analyzing the experiment results of SRC members under cyclic load, the parameters in the restoring force model corresponding to design parameters of SRC member and structure are determined. Using the random equivalent linearization method, a deformation analysis of random elastoplastic response for a SRC frame model is presented.5) The dynamic characteristics of stochastic SRC frame structures are analyzed by using Random Factor Method. Then, from the expressions of SRC frame structural random response of the frequency domain, the computational expressions of the mean value, variance and variance coefficient of the mean square value of the structural displacement and stress response under the stationary random excitation or non-stationary random are developed.6) Based on the double damage criterion, the damage index of structure is defined by a nonlinear function of the deformation and dissipated energy. Then, a numberical example of SRC structure is given for expected damage index and the fuzzy dynamic reliability analysis.

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