中文摘要：

将非线性扩张Kalman滤波理论引入温度荷载作用下的大体积混凝土材料参数随机反演问题,推导并建立了Kalman滤波理论的观测修正方程和时间传播方程,并研究了温度荷载作用下混凝土材料参数反演中的扩张Kalman滤波器与有限元耦合问题,推导了相应的计算公式,同时给出了扩张Kalman滤波理论反演材料参数的步骤。研究表明,非线性Kalman滤波算法具有较强的收敛性,故而应用扩张Kalman滤波理论反演参数计算效率较高。研究结论可供工程设计参考。

英文摘要：

Nonlinear Kalman filtering theory is introduced into the stochastic inversion of mass concrete material param- eters under temperature loading. The observation correction equations and time propagation equations of Kalman filtering theory are derived and established. Under the temperature load, the expansion Kalman filtering and the finite element coupling problem are studied in the concrete material parameter inversion. The corresponding formulas are derived, and the steps of extending Kalman filter theory to retrieve material parameters are given. The research shows that the nonlinear Kalman filtering algorithm has a strong convergence. Therefore, it is efficient to use the extended Kalman filtering theory to inverse material parameters. The research conclusions can be referred to the engineering design.