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 main goal of this study is to investigate the dynamic interactions between a flexible portal frame and a nonlinear electrical support excitation. The numerical analysis shows a complex behavior of the system, which can be observed by phase spaces, Poincaré sections and bifurcation diagrams.
Highlights
Portal frames are commonly used in buildings and other structural configurations
The proposed system consists of a flexible portal frame (FPF) with base excitation provided by an electrodynamical shaker, as shown in the schematic picture presented in Fig. 1, at deflected position
In this work a flexible portal frame parametrically excited by an electro-dynamical shaker is considered
Summary
Portal frames are commonly used in buildings and other structural configurations. The nonlinear vibrations of these systems have been investigated by several authors [1,2,3]. Brasil [4] presented the mathematical modeling of a portal frame excited by two ideal energy sources, consisting of unbalanced rotating machines, and performed an analytical study of its nonlinear vibrations. The device under consideration here consists of a Duffing electrical circuit coupled magnetically to a flexible portal frame This system modeling was previously addressed by Brasil [4] and Balthazar et al [5]. In this paper it is carried out a dynamical analysis of a flexible portal frame under base excitation, which is provided by an electro-mechanical shaker. A.S. de Paula et al / Some comments on the nonlinear dynamics of a portal frame under base excitation
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