Free Oscillations

Free Oscillations

 

(or natural oscillations), oscillations that occur in a mechanical, electrical, or some other physical system, in the absence of an external influence, owing to the originally accumulated energy (as a result of an initial displacement or initial velocity). The character of free oscillations is determined primarily by the system’s intrinsic parameters, such as mass, inductance, capacitance, or elasticity. In real systems, free oscillations are always damped because of energy dissipation; when the losses are large, the oscillations become aperiodic. (SeeOSCILLATIONS.)

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These graphs show that free oscillations decrease over a limited period of time, which is about 1 s.
Assessing musculo-articular stiffness using free oscillations: theory, measurement and analysis.
(1959) analyzed seismographs not only of huge earthquakes but also of seismically quiet intervals, (35) which are now recognized to represent the Earth's background free oscillations or seismic hum.
The sensors that operate on the principle of non-contact measurement are used to measure the free oscillations of console instruments and forced oscillations during the cutting process.
These parameters were determined by filing of the free oscillations of model of a platform on quiet water.
Control of the process of vibro-treatment of the construction was developed using registration of logarithmic decrement of free oscillations of constructions after impact has been applied.
Kaczorowski, M.: 2006A, Earth free oscillations observed in plumb line variations from the 26 December 2004 Earthquake., Acta Geodyn.
The analytic technique had been applied successfully in many nonlinear problems in engineering and science [21, 22], for example, the magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet [23], nonlinear progressive waves [24], free oscillations of positively damped systems with algebraically decaying amplitude [25], free oscillations of self-excited systems [26], and similarity boundary layer equations [27].
Thus, the frequency of free oscillations in such an oscillating circuit is [[omega].sub.free] = [[omega].sub.0].
The symbols 1T and 2T mean the characteristic of the period of free oscillations dependent on period [T.sub.[omega]] of excitation force: T = n[T.sub.[omega]], n = 1, 2,3,....
Fairly strong seismological confirmation of the existence of a solid inner core came in 1960, albeit in an unsuspected form: free oscillations of the earth brought about by a major earthquake in Chile on 22 May.