Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
NONLINEAR DYNAMIC STRUCTURES BEHAVIOR WITH CRACK BREATHING USING THE BALANCING METHOD HARMONIC
Submission Author:
Eduard Rojas Castillo , MG
Co-Authors:
Eduard Rojas Castillo, Leonardo Sanches, Valder Steffen Jr
Presenter: Eduard Rojas Castillo
doi://10.26678/ABCM.COBEM2019.COB2019-2072
Abstract
Fatigue cracks are one of the most important problems in mechanical components, since they can cause severe losses, both personal and economic. Therefore, it is essential to know the behavior element to have tools that allow predicting the damage level before it completely failure. The beams are elements affected by the described problem, as they are subject to alternative compression and tension stresses. In this article, the nonlinear dynamic behavior of a cantilever beam modelled as a mass-spring system with two and three degrees of freedom, respectively, are considered. The effects of the crack on the beam stiffness are evaluated by a bilinear function and a harmonic excitation force is considered. The Harmonic Balancing Method (HBM) was used to determine the Nonlinear Normal Modes (NNMs) in the domain of time, phase portrait, configuration space and in the three-dimensional projection of phase space. The perspective of this work is to access how the crack effects the nonlinear behavior of a beam, specially the Nonlinear Normal Modes
Keywords
nonlinear dynamics, Crack Breathing, Harmonic Balancing Method, nonlinear normal modes
