Analytical solution of transversely isotropic elastic multilayered subgrade under arbitrary loading in rectangular coordinates

作者：Wang You Kai^*; Gong Yao Qing

来源：Engineering Mechanics, 2006, 23(5): 9-13+19.

• Multilayered elastic subgrade
• Rectangular coordinate system
• State space
• Transferring matrix
• Transversely isotropic

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.

• 出版日期2006