INVESTIGATION OF BEHAVIOUR OF 3 DEGREES OF FREEDOM SYSTEMS FOR TRANSIENT LOADS

J.O.Kiran, D.Shivalingappa

Abstract: In this work, the energies dissipated by the spring mass damper system with three degrees of freedom are modelled and simulated for three types of external loads, namely, constant load, exponential decaying load overtime and a partial load over a time period. Two models of the spring mass damper system are modelled and the governing equations are derived. The velocities of the oscillators are estimated by solving the corresponding governing equations for loss of factor of 0.15. The kinetic and potential energies are calculated using the mass, velocity and stiffness of the oscillators and total energy is estimated. , when the load is changed from full load to a partial load over a time period, there is significant increase in the displacement and the velocity at near 0.75 sec, which means it dissipates more energy The contribution of the kinetic energy is minimal for oscillator 2 in all cases and the total energy is constituted mostly of potential energy and there is a substantial contribution both by kinetic and potential energy of oscillator 1 and 3 is presented in this paper

Keywords: Vibration, 3 Degrees of freedom, Dampers, Loss factor, Transient loads.

DOI: https://doi.org/10.15623/ijret.2013.0210030