The singular perturbation analysis of linear lumped-parameter vibrating systems presented in this note greatly facilitates the approximate determination of the natural frequencies and mode-shape vectors of complex engineering systems incorporating sub-sets of ‘small’ inertial elements. In this way it is shown that it is possible to retain in the analysis of such systems ‘small’ inertial elements which are frequently neglected in order to make tractable the vibration analysis of such systems by conventional methods.
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