Free vibration analysis of lateral carrying load systems with opening by a new algorithm

In this study, the free vibration analysis of lateral carrying load systems with openings (coupled shear walls) is presented by the use of discrete singular convolution (DSC). Discrete singular convolution is a relatively new numerical method which is very powerful in vibration analyses. Much research on how to apply complex boundary conditions in the analysis is carried out using this method and various solutions have been proposed. Applying the boundary conditions in the governing equations of lateral carrying load systems is a challenging issue. This paper proposes a new algorithm for applying the boundary conditions in the vibration analysis of coupled shear walls using the DSC method. To evaluate the proposed approach, several samples were analyzed. In order to verify the feasibility of the proposed method, the obtained results were compared with the values of the differential quadrature method (DQ) and finite element (FE). Strict conformity of the results of the proposed method shows the effectiveness and capability of the numerical solution in vibration analysis of coupled shear walls with openning.

Keywords:

Discrete singular convolution method , vibration analysis , lateral carrying load systems , boundary conditions