Open AccessOn the Periodic Solution of an Oscillator Single Degree of Freedom with a Damping Coefficient that Changes Periodically
Author(s) -
St. Budi Waluya
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/846/1/012044
Subject(s) - vibration , cylinder , perturbation (astronomy) , instability , horizontal plane , mechanics , amplitude , physics , plane (geometry) , bridge (graph theory) , acoustics , mathematics , geometry , optics , quantum mechanics , medicine
In this paper will be studied a simple one degree of freedom system related to the dynamics of cable-stayed bridges. As a result of wind and rain that hits the bridge cable, it will cause vibrations from the cable to become unstable conditions. The presence of water flowing in the cable changes the cable cross-section as experienced by the wind plane. So, this is what causes the instability of cable vibrations. The idea to model this problem is to consider a horizontal cylinder supported by springs in such a way that only one degree of freedom, i.e. vertical vibration is possible. It will be studied a ridge on the surface of the cylinder parallel to the axis of the cylinder. Additionally, let the cylinder with ridge be able to oscillate, with small amplitude, around the axis such that the oscillations are excited by an external force. In this paper it will be studied the possibilities of the damping of the oscillator that changes periodically by using a perturbation method.