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The resonant frequency and Damping Analyser (RFDA) is a non-destructive
testing device based on the impulse excitation.
A vibration is induced by a small mechanical impulse. The energy is dissipated
by the material into a vibration. This vibration is expressed as a damped
sine.

In practice the vibration of any product will consist of a sum of several
resonant frequencies. This vibration has a frequency spectrum according
to its resonant frequencies which are depending on :
- the elastic properties of the material
- the geometry
- the density
- the micro- and macroscopic structure of the material
Each frequency will damp according to the energy absorption of the material.
The exact micro structural origin of damping varies from one class of
materials to the other. The mechanism of damping or internal friction
can be understood as the rearrangement of defects in the crystal structure
of the material. The capacity of damping k is dependent of the dimensions
of the specimen. The specific damping or loss factor on the other
hand is a material property defined as:

This mechanical loss is reflected in the measured vibration of the specimen
and can be seen as the relative decrease of the signal:

where: x1/x2 = ratio of the
amplitude of the signal in one period T
In this way the loss factor, an important property in characterizing
the material is easily calculated from the measured damping and frequency.
For simple shapes such as rectangular bars, cylindrical rods and discs
there are well defined vibration modes. The supports are placed in the
nodes of the test specimen so there is minimal influence on the vibration
by the supports. The nodes are the locations where the vibration has zero
displacement.

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