Nonlinear dynamics of a flexible portal frame under support excitation

Abstract

Abstract. This paper presents a nonlinear dynamic analysis of a flexible portal frame subjected to support excitation, which is provided by an electro-dynamical shaker. The problem is reduced to a mathematical model of four degrees of freedom and the equations of motion are derived via Lagrangian formulation. The main goal of this study is to investigate the dynamic interactions between a flexible portal frame and a non-ideal support excitation. The numerical analysis shows a complex behavior of the system, which can be observed by phase spaces, Poincaré sections and bifurcation diagrams..

Some Comments on the Nonlinear Dynamics of a Portal Frame under Base Excitation

“…The electro-mechanical device considered in this work consists of an electric system magnetically coupled to a mechanical structure as used by Felix and Balthazar [12,13] and Yamapi [14] in others vibrating problems. De Paula et al [15] presented preliminary results of the same problem studied in the present work.…”