大体积混凝土位移场参数的卡尔曼滤波反演

Research on Stochastic Back Analysis of Mechanical Parameters of Mass Concrete Based on Kalman Filtering Method

将扩张Kalman滤波理论引入大体积混凝土位移场参数随机反演问题,推导了位移场参数下Kalman滤波理论的观测修正方程和时间传播方程,解决了混凝土位移场参数反演中的扩张Kalman滤波与位移有限元耦合问题,通过实例验证该算法具有较强的收剑性和精度,可进一步推广应用.

The Kalman filtering theory is applied to the back analysis of parameters of mass concrete displacement field for the first time. The time-spreading equation and the observation-correcting equation of displacement field are deduced. After the coupling problem of extending Kalman filtering theory and FEM is solved, the corresponding computing formulas are deduced and then the back analysis procedures are given. Many more useful conclusions about the back analysis based on Kalman filtering theory are tested and discussed through a classic example.