Waluya, S. B. (2020) On the Periodic Solution of an Oscillator Single Degree of Freedom with a Damping Coefficient that Changes Periodically. Journal of Physics, 846. pp. 1-6. ISSN ISSN: 1742-6588

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Abstract

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.

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