Transfer Matrix Method for Natural Vibration Period of Shear Wall Structures with Large Space at Lower Part

Abstract

This paper established the theoretical equations of transfer matrix method for shear wall structures with large space at lower part to calculate natural vibration periods. The bottom structure is simplified as a hinged plane system with a complex frame and a complex shear wall, and the upper structure is simplified as a complex shear wall. Transfer matrixes between adjacent stories were established according to the fluctuated equations of complex members and equilibrium and displacement compatibility conditions. After multiplying the transfer matrix of every story, transfer matrix of the whole structure was established. Finally, the solving equation for the natural period was deduced by the boundary conditions. An example showed the feasibility and reliability of the method. In comparison with FEM, it is a convenient and universal method and is recommended for preliminary design of shear wall structures with large space at lower part.