Linear free vibrations are completely characterized by their eigen-frequencies and eigenmodes. However, in engineering applications the amplitudes of a vibrating system have to be bounded, too. The information on the amplitudes of linear vibrations is available from the general solution for each set of initial conditions, which usually are unknown vector quantities. The initial energy is a scalar quantity which is used to identify the amplitude bounds of arbitrarily damped linear vibrating systems.

Issue Section:
Brief Notes
Topics:
Free vibrations, Engineering systems and industry applications, Linear vibration, Scalars
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