Study on the Effect of Position of the Dampers in Systems with 3 Degrees of Freedom

In this work, the behaviour of systems with three degrees of freedom is modelled for a fixed loss factor. The loss factor used in this work is 0.075. Four models are studied and the displacements as well as the energies stored in the systems are computed using the simulations. The governing equations are numerically solved using MATLAB. The dampers are varied in position and in numbers to derive four models. The simulation results show that among the four models with three degrees of freedom, the model with four dampers added to the system yields the lowest displacement, while the model with no dampers has the largest displacement for oscillator on which the force is acting. The models with dampers attached at different positions yield the displacements in between these two cases. The energy stored in the oscillator becomes large after the attached dampers are removed. Most of the energy is absorbed by the damper attached to the oscillator on which the force is acting. The magnitudes of displacements, velocities and energies for models with different positions of dampers are presented in this paper. Keywords-Vibration, 3 degrees of freedom, dampers, loss factor.