Abstract
The aim of this paper is to give a thorough verification of the effect of damping on parametric resonances of visco-elastic systems under a pulsating generalized Reut force. Stability conditions in a finite time were applied to the dynamic responses of the simulated systems to establish the regions of parametric instability. It is shown that a slight internal damping is effective to establish the regions of instability through digital simulation. The present numerical experiments have confirmed that the stable systems when the damping is neglected may lose their stability when the damping is taken into account. Thus the paper has contributed in adding a verification of destabilizing effect of damping on the parametric combination resonances of sum and difference type.
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