Non-linear dynamic response to simple harmonic excitation of a thin-walled beam with a breathing crack

FRANCO E. DOTTI; VÍCTOR H. CORTÍNEZ; FLORENCIA REGUERA

APPLIED MATHEMATICAL MODELLING

ELSEVIER SCIENCE INC

Lugar: Atlanta; Año: 2016 vol. 40 p. 451 - 467

0307-904X

The dynamic response of a thin-walled beam with a breathing crack is studied by employing a refined one-dimensional model introduced for such purpose. It is shown that, due to the non-linearity of breathing, some effects take place which are impossible by using a completely open crack model. Even with the simplest of sinusoidal excitations, the system under study reveals a rich and complex dynamics. Some of the topics emphasized in the article are self-excitation of harmonic resonances, period doubling and the presence of quasi-periodic motion. Furthermore, the possibility of chaotic vibrations is analyzed.