Figure 3. Accumetrics transmitter, with Kevlar strap attachment
(shown for illustration on a small glass shaft).
made specific recommendations to increase the margin of
safety on the compressors. As with any computer simulation, the quality of the results and the subsequent analysis are highly dependent on the accuracy of initial data
used to model the rotor using the analysis software.
To confirm that the operational changes were producing
the desired results, AP Dynamics decided to instrument the
now-repaired compressor package with a rotor telemetry
system to measure torsional vibration during operation. An
AT-5000 EasyApp rotor telemetry system from Accumetrics
Associates was chosen as the vital link between theoretical
calculations and real-world results.
The AT-5000 EasyApp is a miniature, battery-powered
TORSIONAL ANALYSIS METHODOLOGY
For torsional analysis purposes, a compressor/drivetrain
represented by a lumped parameter model, in which inertia of the drivetrain is represented by a finite number of
rigid disks of inertia connected by inertia-less torsional
springs. Each spring represents the stiffness, which is defined as the angular deflection for a given applied torque
— between the two associated disks.
Figure 6. A model for drivetrain torsional vibration analysis.
A time transient simulation is used to predict the drivetrain response (the angular deflection at each disk and
the torque at each spring) to the applied torques at the
engine and the compressor as the system evolves
through time.
Figure 4. Installation of
Accumetrics AT-5000.
digital telemetry system that can be applied to shafts of various diameters using Kevlar straps and connected to a strain
gauge (Figure 1) applied directly to a shaft where torsional
vibration is suspected.
The small transmitting module (Figure 2), which includes
a lithium battery, mounts opposite an adjustable yoke to
maintain balance.
The combination requires only 0.7 in. ( 18 mm) of radial
clearance around the shaft. The Kevlar strap (Figure 3) has a
tensile strength of 3000 lb. ( 13. 62 kN) and the overall system
operates to over 10,000 g’s — far beyond the centrifugal
force expected for this application.
Battery life can be as much as 150 hours on a single
lithium battery when used with high-resistance strain
gauges. Other components of the telemetry system include
a receiving antenna and a receiver (Figure 5). By gathering
set shows the system response while running in resonance with one of the system’s torsional natural frequencies at 913 rpm. The second set shows the system response while running outside resonance at 1000 rpm.
Notice the large vibratory torque, which develops when
the system operates at resonance. Magnitude of angular
and torque vibration at resonance can be as high as two
to three times that found at nonresonant speeds.
Figure 7. Torque at the coupling vs. time (zero to 20 seconds ramped
speed). Strain gauge data was taken from an Accumetrics’ AT-5000
EasyApp digital telemetry system.