An Ultimate Aseismic Design Procedure of Reinforced Concrete Frames Based on Probabilistic Method, Considering Variability of Earthquake Design Loads and Structural Properties

本研究所得结果如下。(1)提出了非平稳随机输入运动下结构响应的递推计算方法。该方法将功率谱密度函数近似为有理函数，可以方便地求出复杂的卷积积分。应用该方法对受非平稳随机运动作用的单自由度结构模型进行了分析。(2)提出了一种不确定结构非平稳响应分析的新方法。外荷载和结构性能均采用随机变量建模。应用该方法对一个三层钢筋混凝土框架在随机地震作用下进行了分析。(3)提出了一种评估钢筋混凝土框架非线性随机响应的实用方法。采用简单的等效线性化方法对结构构件的非线性特性进行了线性化处理。以三层单层平面框架模型为例进行了数值分析。(4)提出了基于概率方法的钢筋混凝土结构极限设计程序，并通过Monte-Calro模拟验证了构件强度变化对框架屈服机理的影响。

The results obtained in this study are described below.(1) A recursive procedure to evaluate the structural response under the non-stationary stochastic input motion is proposed. In this method, approximating the power spectrum density function as a rational function, complicated convolution integral can be easily evaluated. A SDOF structural model subjected to a non-stationary random motion is analyzed by applying this method.(2) A new method is presented for the non-stationary response analysis of structures with uncertain properties. The external loads and the structural properties are both modeled as random variables. By applying this method, a three-story RC-frame subjected to a random earthquake motion is analyzed.(3) A practical method is presented for evaluating the nonlinear random response of reinforced concrete frames. The nonlinear properties of structural constituent members are linearized by using a simple equivalent linearization method. The numerical analysis is carried out in the case of three-story one-bay plane frame model.(4) An ultimate design procedure of reinforced concrete structures based on probabilistic method is proposed, and the effect of the variability of member strength on the yield mechanism of frames are examined by Monte-Calro simulation.