Meshless Numerical Analysis For Bending Problem Of Elastic Foundation Plate

With the development of economic construction and various large structures emerge in endlessly.The application of Mindlin plate in engineering is more and more extensive.However, the traditional thin plate theory is not very good for the application of Mindlin plates.Therefore, the research and analysis of the Mindlin plate has become a hot issue.In this paper, the buckling problem of thick plate on elastic foundation is studied by analytical method.In this analytical method, a new high order shear deformation theory is cited.The basic equation is introduced by using the variational principle of Hamiltonian.Then, the static and dynamic problems of rectangular plates on elastic foundation are studied by MLPG method.And compare the two methods to see whether the MLPG method has a higher accuracy.Meshless local Petrov Galerkin(MLPG) method is applied to large scale plate deformation.MLPG has good convergence in dealing with the large deformation problem.And it can reduce the difficulty of the mesh distortion in the finite element analysis.The MLPG method is an alternative tool to handle mechanical response of the high-order shear deformation plate.The calculation program of MLPG analysis of Mindlin plate is simple, general purpose, data preparation work is very small.Therefore, the MLPG method has the application prospect of further solving the practical problems of complex engineering.Therefore, the MLPG method has the application prospect of further solving the practical problems of complex engineering.MLPG method will be more widely applied to the elastic foundation plate, the raft, and the stability of the thin plate or buckling analysis.Provide great theoretical support for engineering design.