Kalman filtering identification of Winkler foundation's parameter based on Mindlin theory

Based on Kalman filtering theory, an identification method of Winkler foundation's parameter is put forward. After Mindlin theory is introduced, the differential equations of Mindlin plate on Winkler foundation are derived. Through applying Fourier transformative technology, the corresponding solutions to the pinned plate on Winkler foundation are obtained. Kalman filtering equations of Winkler foundation's parameter are established; and the steps of Kalman filtering identification of Winkler foundation's parameter are studied. Research shows that Winkler foundation's parameter can be efficiently identified by applying Kalman filtering theory; and the convergence velocity and precision of Winkler foundation's parameter are depended on both the initial information of Winkler foundation's parameter and the measured displacement data at the studied nodes. And this identification method can also be applied to the problem of identification of parameters of other foundation models.