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The
ear is a sensitive device. In order to make accurate predictions of audible
noise in electric motors, one must be able to generate precise models.
Such modeling can be achieved by using a finite element method that allows
designers to include details of the motor's geometry.
However, this method produces a very large numerical model with many degrees
of freedom; the result is excessive computation time.
Developers of the Orpheus program used a technique known as component
mode synthesis, or CMS, to model shafts and housings. The method uses
fewer degrees of freedom than FEA, but can still describe the dynamic
properties of these components accurately for specified frequency ranges.
The CMS method transforms a finite element model into a domain in which
the same dynamic properties can be described with significantly fewer
degrees of freedomtypically, between 10 and 100. Expressed in
terms of the shifting of resonance frequencies, the discrepancy between
a CMS-generated model and an FEA model that does not use CMS is normally
less than a few percent. The CMS method allows designers to take into
account details of geometry (via the FEA method) and still perform fast
calculations without ignoring the effects of such things as bearing raceway
contact, misalignment, and form derivations of housing bores.
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