Abstract

The concept of a complex energy and the principle of general energy conservation for a second-order mechanical system in free vibration are presented. As an application of this principle, the stability margin of a rotor system supported by sliding bearings is discussed, and the general energy ratio is taken as the index to measure the stability margin of the system with unvaried parameters. Furthermore, the rate of change of the stability margin is adopted to describe the trend of the variation of the stability margin of system with small disturbances of parameters. Another important conclusion is that it is not always proper to estimate the stability margin of a system by its “system damping”. Corresponding numerical examples are presented.

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