Dynamic Response Analysis of Tall Buildings under Axial Force Effects

In this paper, weak form integral equations is presented for dynamic response analysis of tall structures with variable stiffness and mass along the height under axial force. Through repetitive integration, the governing differential equation is converted into its weak form integral equation. The tall structure is modeled by a non-prismatic cantilever beam. By approximation of the mode shape function by a power series, the integral equation is converted into a system of linear algebraic equations. The natural frequencies of tall structure are calculated by determination of a non-trivial solution for system of equations. The analysis results are compared by those obtained from SAP-2000 software and other available references.