PRECISE TRANSFER MATRIX METHOD FOR INTERNAL FORCES AND DISPLACEMENTS OF CURVED BEAMS WITH PINNED-PINNED ENDS

摘要

Based on the theory of precise transfer matrix method and differential equations, a precise transfer matrix format for in-plane internal forces and displacements of curved beams with pinned-pinned ends is derived explicitly. And have done the calculation of a simply supported curved beam with the method. Compared with the results by FEM, the analytical solutions by the precise transfer matrix method are verified. A real multi-span curved bridge subjected to concentrated loads is analyzed using the precise transfer matrix method as well as FEM. The agreements further confirm the practicability of the proposed method, which would provide a scientific base for further study and design of the curved bridges.