Free Vibration Analysis of the Tube-in-Tube Tall Buildings with the Differential Transform Method

Abstract

The Differential Transform method is an effective method used in recent years in the solving of differential equations. This study benefits from the use of the Differential Transform method in the preliminary free vibration analysis of tall buildings composed from tubular structures. In this study, in accordance with the literature, the tube-in-tube tall building was modeled as an orthotropic beam. The solution was completed in the governing equation written according to this model by applying the Differential Transform method to convert the differential equation into an algebraic equation. In the study, the Mathematic program was used in the execution of the Differential Transform Method. At the end of the study, two examples gathered from the literature were solved and assessed in order to investigate the validity of the suggested method.