| The stress analysis of rigid pavement in our country adopts the theoretic solutions of infinite plates on elastic foundation which is based on Kirchhoff thin plates hypothesis. However, size of rigid pavement plates is limited and thickness of the plates have a trend of increasing, this thesis will discuss a new method called finite integral transform method and solve theoretic problem of finite size moderate thick plates on elastic foundation with it.Basic equations of moderate thick plates are complex and it is hard to get the theoretic solutions, common method on solving this problem is semi-inverse method. But this method needs to be firstly selected deformation functions and make them satisfy the boundary condition, and then find out unknown coefficients which are contained in the deformation functions. When using the finite integral transform method which I will discuss in the thesis, solving the basic equations is more convenient. The high order partial differential basic equations are transformed to linear equations by finite transform method, through arriving at results easily of the linear equations we get solutions of the high order partial differential basic equations by applying inverse finite integral transform to them. With this method, this thesis will introduce process in detail on obtaining theoretic solutions of Mindlin rectangular moderate thick plates with completely camped support and theoretic solutions of Reissner rectangular moderate thick plates with four edges free on Winkler foundation. And then with these results, the thesis show the numerical results of moderate thick plates on both deflection and stress when load located on center and edge of plates, and discuss the numerical differences of Mindlin and Reissner moderate thick plates. At last, giving program that can simulate two-wheel load on any parts of rigid pavement plates and give results specially on two condition of loading on center and edge of plates, which is able to get deflections and stresses on any position of plates. Further more, the program is able to get results of multiply-wheel load locate on arbitrary position of a single plate. |
