ANALYTICAL SOLUTION OF TRANSVERSELY ISOTROPIC ELASTIC MULTILAYERED SUBGRADE UNDER ARBITRARY LOADING IN RECTANGULAR COORDINATES

A general method for solving mechanical problems of multilayered subgrade is performed in a rectangular coordinate system,whereas solutions only existed in cylindrical coordinates before.First,the origin of the rectangular coordinate system is placed at a point out of the influential extention of the loading.Starting from the essential equations of transversely isotropic elastic mechanics,the state-controlling equations of one transversely isotropic elastic layer is derived by using Laplace transform and its differential properties,and the answer for one-layer subgrade is given with the theory of the state space.Then the analytical solution is obtained for transversely isotropic multi-layered elastic subgrade under arbitrary loadings by means of transferring matrix method.The new method is much more simple and expedient,especially for solving the non-axisymmetrical problems of multilayered subgrade,than the previous method base on cylindrical coordinate system.