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Nonlinear analysis of the draw resonance instability and the transient disturbance response to disturbances having various frequencies were carried out. Experiments were performed using air gap water-quenched melt spinning with vibrational equipment for imparting frequency disturbances on the spinline. The amplitude and period of oscillation with respect to the cross-sectional area varied as a function of the draw resonance vibration and the disturbance response. High frequency disturbances were found to be effective for depressing the draw resonance instability. Large nozzle L/D ratios were also found to be effective for decreasing the elongational flow instability.