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The art of instrumentation 09 2005

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The Art of
Instrumentation &
Vibration Analysis
Back to the Basics –
Forward to the Future


Our Objective…


The objective of Condition
Monitoring is to provide information
that will keep machinery operating
longer at the least overall cost.
– What it is NOT:




Establish new measured point records
Means to show analytical brilliance
The answer to every problem!


Back to the Basics…


Vibration
– Simple Harmonic Motion




Oscillation about a Reference Point
Modeled Mathematically as…

x(t ) = X sin ωt


Back to the Basics…
Period, T
Unit Circle

RMS
0
0 to Peak

Peak-to-Peak


Back to the Basics…


Basic Signal
Attributes
– Static



Slowly
Changing
Temperature




Basic Signal
Attributes


Dynamic



Sensor must
respond in fractions
of a Second
Vibration,
Amperage,
Pressure


Back to the Basics…


Dynamic Signal
Fundamentals





Amplitude

Frequency
Timing
Shape



Timing,
or
Amplitude
Frequency
Signal
Shape
–Phase
Proportional by
Determined
Waveform
to

theSimple
severity ofby
reciprocal
of
– •Represented
vibratory
Period
motion
•the
time
delay
Complex

CPS
or two
Hzas
– •between
Pattern
Expressed
Recognition
••signals
RPM
Peak to Peak
Orders
– ••Leading
Zero to Peak
RMS
– •Lagging


Peak and RMS Comparison


Relationships of Acceleration,
Velocity and Displacement


The Big Picture
Sensor(s)

Cables

Data Acquisition

& Storage

Signal Conditioning

Communications

Remote
Analysis and
Diagnostics


Displacement Sensors


Elements
– Probe, matched extension cable, Driver


Displacement Sensors


How it Works:
The tip of the probe contains an
encapsulated wire coil which radiates the
driver's high frequency as a magnetic field.
When a conductive surface comes into close
proximity to the probe tip, eddy currents are
generated on the target surface decreasing the
magnetic field strength, leading to a decrease
in the driver's DC output. This DC output is

usually 200mV/mil or in a similar range.


Displacement Sensors


Pro’s and Con’s
– Pro’s



Measures Displacement
Rugged

– Con’s




Limited Frequency Range (0-1000Hz)
Susceptible to electrical or mechanical runout
Installation Issues


Velocity Sensors


Pro’s and Con’s
– Pro’s




Measures Velocity
Easier Installation than Displacement

– Con’s




Limited Frequency Range (0-1000Hz)
Susceptible to Calibration Problems
Large Size




Acceleration Sensors

Pro’s and Con’s
– Pro’s





Measures Accel.
Small Size
Easily Installed
Large Frequency Range (1-10,000 Hz)


– Con’s



Measures Acceleration (requires Integration to Vel.)
Susceptible to Shock & Requires Power


Machine Speed Sensors






Displacement Probes
Active or Passive Magnetic Probes
Optical Permanent
Stroboscopes
Laser Tach


Voltage or Current?


Current Output Accelerometers
– 4-20 mA Output





Proportional to Dynamic Signal and/or Overall

Voltage Output Accelerometers
– Preferred in U.S.
– Generally 100mV per g Sensitivity


AC and DC Signal Components


Signals have both AC and DC
– AC considered the “Dynamic” Signal
– DC is the “Static” Signal



Displacement Probes – Set “Gap” for DC
Accelerometers – “Bias” voltage is DC


AC and DC Signal
Components
• How AC and DC
work together:
– AC signal “rides” the
DC bias (VB)



Affects the Dynamic
Range of the
Sensor.


Power Circuit for Accelerometers
“Strips off”
DC
Voltage




Grounds
A Potential Problem
Source


Ground Loops
• Caused when two or
more grounds are at
different potentials
• Sensors should be
grounded only at the
sensor, not the
monitoring rack!


Sensor Cables



Coaxial with BNC Connectors
– Long Coaxial can become antennas!



Twisted, Shielded Pair
– Teflon Shield – ground at only one end!


Sensor Cables


Driving Long Cables




Under 90 feet, cable capacitance no problem –
Cable Capacitance spec’d in Pico-farads per
foot of cable length
Over 90 feet or so, CCD must supply enough
current to charge the cable as well as the sensor
amplifier.


May result in amplifier output voltage becoming “Slew
Rate Limited”



Sensor Cables


Output of Sinusoid looks like this:



What’s Happening?




The + part of the signal is
being limited by the current
available to drive the cable
capacitance.
In the – part of the sin wave,
the op-amp must “sink” the
current being discharged by
the cable capacitance.


Sensor Cables


Practical Effect:





Signal distortion produces
harmonics
May lead to vibration signals
being misinterpreted.
To calculate the maximum
frequency for a length of cable:


Signal Conditioning






Gain
Integration (Hardware)
AC/DC Coupling
Anti-Aliasing Filter(s)
Sample and Hold Circuit


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