A Transfer Matrix Method for Frame Shear Wall Structures

Abstract

This paper established the theoretical equations of transfer matrix method for frame shear wall structures to solve natural vibration and elastic response under earthquakes. Columns at each storey are combined into an equivalent shear member and shear walls are combined into an equivalent bending member. The structure is simplified as a double member system with the two members being coordinated by the in-plane infinite rigid floors. Transfer matrix of the structure was derived according to the fluctuated equations of equivalent members and the equilibrium and displacement compatibility conditions. After considering the boundary conditions at the bottom and top of structure, it presented the equations and method to solve seismic response, natural frequencies and modes of vibration of the structure. In comparison with FEM, it is a more convenient and universal method and is recommended for preliminary design of frame shear wall structures.