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本文采用静力凝聚技术把平面框架结构简化为一维链状结构，从整体性能上估计结构的抗震易损性。引入状态向量，把结构运动微分方程化为状态方程的形式。地震地面加速度被模拟为均值为零的平稳过滤Ｇａｕｓｓ白噪声过程，在时域内推导响应相关函数的解析表达式，通过求解协方差反应矩阵方程直接得到系统的均方响应。考虑变形极限状态，采用首次超越失效准则计算不同ＰＧＡ水平下的结构易损性。最后，用一座位于大庆市的九层框架结构的计算实例说明本文方法的应用。
In this paper, the planar frame structure is simplified to one-dimensional chain structure by static coalescence technology, and the seismic vulnerability of the structure is estimated from the overall performance. The state vector is introduced and the differential equation of structural motion is transformed into the form of state equation. Earthquake ground acceleration is simulated as a stationary filter Gaussian white noise with zero mean and the analytic expression of the response correlation function is deduced in the time domain. The mean square response of the system is obtained directly by solving the covariance reaction matrix equation. Considering the deformation limit state, the structural vulnerability under different PGA levels was calculated for the first time to exceed the failure criterion. Finally, an example of a nine-story frame structure in Daqing City is used to illustrate the application of this method.