Lumped parameter model for 2D Dynamics Vibration Absorber

Abstract

The Dynamic Vibration Absorber (DVA) is a common and simple solution which can be easily tailored to eliminate resonant vibration of a vibrating system. A DVA is equipped by a spring/mass system that is installed to vibrating system which is usually called as the primary system to lessen the resonant response of it. The DVA is designed to have sufficient weight to transform the resonance frequency of the single degree of freedom primary system into two degree of freedom with two natural frequencies. This happened by properly tuning the DVA mass and stiffness to the system so that the initial resonant peak of the primary system will vastly reduce. Practically, it is absurd to design a DVA without using numerical solutions and intricate calculations to dampen a system. Therefore, the objective of this research is to produce a simple and resolute correlations DVA parameters simulation by using MATLAB Simulink to be used in designing and analysing the DVA system effectiveness. In this research, the mass ratio of 0.25 is considered during the initial design step of the DVA as this is the optimum mass ratio of the primary and DVA. Subsequently, the parameters of DVA system are developed in 2D lumped mass model using MATLAB Simulink for simplicity and the output is obtained in frequency and amplitudes. The results show the effects of vibration reduction vary depending on whether the frequency of the DVA is the same as the primary system’s natural frequency or not. It is proved that when the DVA is operated at the system’s resonance (122.96rad/s) with the highest amplitude, the vibration reduction is great, at 99.99%. When the DVA is applied at frequencies lower or higher than the primary system’s natural frequency, the vibration reduction is acceptable between 64.29% (at 128 rad/s) and 78.56% (at 110 rad/s). These data indicate that the DVA is most effective at the same frequency as the primary system, but when used at other frequencies, it is still capable of reducing the vibration. This has established that all parameters of the system can be employed in the constructed MATLAB Simulink lumped model of the DVA to optimize the DVA design with the aim to reduce the primary system’s resonant frequency.