A Study of Belt Natural Frequency
Lin Liu,
Vishal Verma, Suri
Ganeriwala
SpectraQuest Inc., 8201 Hermitage Road, Richmond, VA 23228
Published: April 2005
Abstract
In the vibration analysis of machinery with
V-belt drives, the belt behavior is an essential component to
understand. Because of its special physical characteristics, there
are many unclear issues regarding belts in the system. The
SpectraQuest Machinery Fault Simulator provides a way to
perform studies on a belt drive. This test is the first one in a
series of tests on power transmission V-belts. Objective of this
test is to determine relations between belt natural frequency and
belt tensions
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Introduction
Equipment used in this experiment are SpectraQuest
Machinery Fault Simulator (MFS), two A30 belts and two A42 belts,
VibraQuest Data acquisition and analysis software, SpectraPad
portable data acquisition device, one SpectraQuest force transducer,
six PCB accelerometers, and one PCB modal hammer.
The data file can be plotted with Dynamic
Spectrum Analysis module in VibraQuest. The spectrum is obtained by
averaging 6 data blocks on one side. It clearly shows spikes at
three locations that are first three modes for the belt.
The belt can be modeled as either a string or a
beam. The string derivation assumes the string cross-section moment
of inertia is zero and that structural support exists due to a
change in shape (e.g. sag) at constant tension. The beam derivation
assumes no effects due to beam deflection and that structural
support exists due to an internal moment and non-zero cross section
moment of inertia.

Fig 1: Test Setup – A30 belt mounted


Fig 2: Belt mode
Frequency for A30 type belts

Fig 3:
Belt mode Frequency for A42 type belts