Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
Nonlinear dynamics of a cantilever beam excited by a limited power supply with magnetic interaction
Submission Author:
Eduardo Petrocino , SP
Co-Authors:
Eduardo Petrocino , José Manoel Balthazar, Marcos Silveira, Paulo José Paupitz Gonçalves, Angelo Marcelo Tusset, Mauricio A. Ribeiro, Leandro Rodrigo de Oliveira
Presenter: José Manoel Balthazar
doi://10.26678/ABCM.COBEM2023.COB2023-0050
Abstract
Flexible structures with coupled motors, used in transporting materials and people, especially in industries, deserve attention, so that possible unwanted effects cause material damage and insecurity for people. A structure built with a cantilever beam with a motor with an unbalanced mass on its axis at its free end was used as the object of study in this article. Parametric excitation occurs in the beam, when the rotation of the motor axis increases, in a certain interval, it will cross its natural frequency, where the vibration is captured, increasing its amplitude, keeping its frequency constant until the moment of jump, a phenomenon known as the Sommerfeld effect, studied in energy systems with limited power. A passive way of reducing this effect without changing the properties of the beam material was proposed in this work, installing a permanent magnet on the free end of the beam, which will move inside with a resistance and a short-circuited coil. An induced current develops a magnetic field that will oppose the movement. As it is a dynamic system with slow oscillatory variations, an analytical modeling using the averaging theory was developed to estimate the dynamic behavior to compare with numerical simulations of the model and with the laboratory experiment. The acceleration of the beam, the current consumed by the dc motor and the angular speed of the motor shaft with the coil open, with a resistance and short-circuited were monitored. The system developed the predicted effects, and the magnetic interaction caused a perceptible reduction in the amplitude and time interval of the Sommerfeld effect.
Keywords
Non-linear dynamics., Cantilever beam., Limited Power Supply, magnetic interaction
