At present the optimization of a vibration isolator is performed in either the time domain or the frequency domain. A new approach, for optimization in the S-plane, is outlined and performed for the viscous damper. Optimization of the viscous damper in the S-plane results in a line that is defined as the spine of the root locus. Transformations are required between the S-plane and either the frequency domain or the time domain, therefore, time and frequency response plots are included for the spine damper. Two examples are used to illustrate the application of the root locus for single mass and multi-mass models.

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