Abstract
Developing earlier results /1–6/, an investigation is presented of the equilibrium state of a linear autonomous non-conservative mechanical system perturbed by arbitrarily small dissipative forces. Perturbations due to dissipative forces are classical as defective or ideal according to whether they do or do not exceed a critical parameter. The structure of the dissipative operators is studied in both cases. Necessary conditions are established for perturbations effected by small forces linear in the system velocities to be ideal or defective. The structure of the matrices determining ideal perturbations is determined, and a formula is derived for the value of the critical stability parameter, called the perturbation defect. Examples are considered.
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