Analysis of the Mindlin Plate and Identification of the Soil Parameter for Foundation with Gradient Optimizing Method

Abstract

Analysis of Mindlin plate is completed. And combined with gradient optimizing method, the Gaussian Markov identification analysis of the soil parameter for the foundation is studied and put forward in detail. After the mechanical theory for the plate on the foundation is introduced, the controlling differential equations of the plate on the foundation which is subjected to vertical loads are deduced. And linear algebra controlling equations for the plate are achieved which leads to solve the original differential equations more easily when the corresponding solutions to the plate on the foundation are gained with Fourier transformative theory. The Gaussian Markov error function for the soil parameter on the plate is established and applied with the gradient optimizing method. The identification steps on the Gaussian Markov error function for the soil parameter are listed. The calculation results verify the conclusions that the soil parameter of the foundation can be efficiently inversed by applying the Gaussian Markov theory. When different initial soil parameter is set, the iterative computations can be convergent to the true value of the soil parameter. And this Gaussian Markov method can also be applied for the problem of inversed analysis of parameters for other foundation models.