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Accelerometers
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Filename, 1www.bksv.com_Accel_cal, 1
Calibration of Accelerometers - Teleconference Two possibilities:1. Use VoIP. Use headphones or
loudspeakers. Listening only.
To ask questions or make comments use the Chat window.
2. Call Brel & Kjr HQ on +45 45 800 500 and ask for this meeting. Listening and talking.
Filename, 2www.bksv.com_Accel_cal, 2
Calibration of Accelerometers
or
Introduction to
Shock and vibration transducer calibration
using
Vibration Transducer Calibration System Type 3629.
Torben R. Licht & Jesper Bo VedelJanuary 2006
Filename, 3www.bksv.com_Accel_cal, 3
Calibration Business Group (CBG)CBG
Jesper Bo Vedel
Vibration SystemsTorben R. Licht
Instrument SystemsJesper Bo Vedel
Microphone SystemsErling Frederiksen
Additionally 4 engineers/calibration specialists
Filename, 4www.bksv.com_Accel_cal, 4
Calibration Business GroupOur tasks:z Specification, development, building, testing, installation and
marketing of customized and (partly) standard calibration systems.
z Support to international calibration centers (B&K and others)z DPLA (Danish Primary Laboratory of Acoustics) activities
Our customers:z Larger companies (typically aerospace & defense or
automotive)z National and other Governmental Metrology Institutesz Calibration Service Centersz B&K Calibration Service Centers
Filename, 5www.bksv.com_Accel_cal, 5
Calibration
In general terms for us at B&K:measurements performed to ensure that sound and
vibration transducers and instruments measure correctly
Calibration defined by BIPM, IEC, ISO, ..... :
.. a set of operations that establish, under specified conditions, the relationship between values of quantities indicated by a measuring instrument or system and the corresponding values realised by standards ..
Filename, 6www.bksv.com_Accel_cal, 6
Calibration Levels
z Primary calibration Normally performed as absolute
calibration that means as close as possible to the fundamental physical units (MKSA in the SI system)
z Secondary calibration (comparison to a reference)
Transducers, calibrators, instruments
z Field calibration Field calibrators like 4231, 4294 etc
z Field measurements
I
II
III
IV
Measurements must be traceable and measurement uncertainty known
Filename, 7www.bksv.com_Accel_cal, 7
B&K Calibration Systems
Instruments Accelerometers Microphones
Dose meter
Octave Filter
Calibrator
Laser
Comparison
Shock 10k
Reciprocity
Comparison
Fr. Resp. Act.
Phase Comp.
Dyn. Linearity
Reciprocity
Hydrophones
ComparisonDirectional R.
SLM
Low-frequency
Fr. Resp. Coup.
Turn-key Systems- instructions on screen- printing of certificates- uncertainty budgets
Shock 100k
Low-frequencyComparison
TransversePrimary PULSE based
Filename, 8www.bksv.com_Accel_cal, 8
Calibration of Vibration Transducers todayBasically we are looking for information about:
z Sensitivity in pC/(m/s2) or pC/g or mV/(m/s2) or mV/g at a reference frequency.
ANDz Frequency response in the useable frequency range.
This is the most sensitive parameter to detect early failures. Many points are needed.
And maybe the resonance peakz Some laboratories want the system to handle the ISO
17025 requirements for customer, due dates etc.z In special cases also parameters like
linearity transverse sensitivity temperature dependence etc.
Filename, 9www.bksv.com_Accel_cal, 9
Frequency Response of an OK Accelerometer159.16 Hz
Filename, 10www.bksv.com_Accel_cal, 10
Frequency Response of Damaged Accelerometer
Piezo crackedConnection failure
159.16 Hz
Mechanical failure
Filename, 11www.bksv.com_Accel_cal, 11
Runs on PULSE
Fifth Generation Vibration and Shock
Transducer Calibration System Type 3629
Filename, 12www.bksv.com_Accel_cal, 12
System Configuration
Vibration Transducer Calibration System Type 3629
Filename, 13www.bksv.com_Accel_cal, 13
Back to Back Calibration System
Test TransducerWA0567 Calibration Fixture4371 Working Standard
Accelerometer4808 Exciter / WH26514809 Exciter
3560C 3560C Pulse Sound & Vibration
Analyzer
10/100M LAN Interface 10/100M LAN Interface
Generator Signal
2719 2719 Power Amplifier
5308 Vibration Transducer Calibration S/W3629-CTI 3629 system Traceable Initial Calibration
2647 2647 Charge to Deltatron Converter
Filename, 14www.bksv.com_Accel_cal, 14
Vibration & Shock Transducer Calibration System Type 3629
z Fast and accurate amplitude and phase calibration of vibration transducers.z Comparison calibration according to ISO 16063-21 (former ISO 5347 3)z Primary calibration (optional) according to ISO 16063-11 (former ISO 5347 1) method 3 including phase.z Calibration of Voltage and Charge conditioning amplifiers (optional)z Comparison shock calibration to 10,000 g according to ISO 16063-22. (optional)z Automated electrical system calibration including conditioners for highest accuracy and traceability (all data stored and used for correction).z Calculation, reading and writing of TEDS (transducer electronic data sheet) coefficients.z Very low expanded calibration uncertainty (e.g. 0.3% @ 10 Hz with 0.2% reference). Spreadsheet for calculation supplied.z Automated calibration provides ease of use yet fault-proof results.z Frequency range 0.1 Hz to 25 or 100 kHz, depending on shaker, reference and front-end.z Calibrates practically all transducer types: Charge, DeltaTron (constant current supplied
transducers), Piezoresistive and Variable capacitance with 2697 (optional), Voltage, Servo and Electrodynamic (Velocity pick-ups).
Filename, 15www.bksv.com_Accel_cal, 15
What is Type 3629?
z Type 3629 is a calibration system for vibration transducers developed by Brel & Kjr
z Type 3629 combines the best ideas from Brel & Kjr's9610 and PULSE
z Type 3629 has a much lower cost than the former solutions
z Type 3629 uses the Brel & Kjr PULSE multifunction analyser and this can be used separately
Filename, 16www.bksv.com_Accel_cal, 16
Type 3629 Software Elementsz PULSE Labshop softwarez Calibration Software Type 5308
Automated calibration control Comparison by substitution for highest accuracy and flexibility Procedure editor System and Charge verification for highest reliability Type description and automated characterization of different
exciters Automated transfer calibration of working standards,
(reference spectra). Automated calibration of PULSE front-ends using high
precision voltmeter (hp3458A) Traceability control of components Customer database to fulfil ISO 17025 Report generator using MSWord and templates changeable
by customer (using keywords)
Filename, 17www.bksv.com_Accel_cal, 17
Type 3629 Hardware Elements
z PULSE multifunction analyser (Portable PULSE)z PCz Shaker/Power amplifier
existing or our recommendation easy to adopt to any shaker/power amplifier
z Reference accelerometer and charge to DeltaTronconverter (or optionally any charge conditioner)
z Differential conditioning amplifier Type 2697(optional for calibration of PR and VC accelerometers)
z System calibration by means of HP/Agilent 3458A DMM for highest accuracy and traceability
Filename, 18www.bksv.com_Accel_cal, 18
Front-end Calibration
z PULSE can be calibrated using an external voltmeter (HP/Agilent 3458A)
z Or PULSE can be calibrated in a B&K Service centre
z In either case correction values are stored in the database
Filename, 19www.bksv.com_Accel_cal, 19
Comparison calibration, Back to back
By back-to back mounting of the accelerometers, both accelerometers are subjected to the same vibration. This is assumed to be a perfectly linear motion perpendicular to the accelerometers common mounting surface.
The sensitivity in this direction of the DUT accelerometer can then be calculated
Suut = Sref x (Vuut / Vref) x (G ref /G uut)
Filename, 20www.bksv.com_Accel_cal, 20
Calibration by substitution
Filename, 21www.bksv.com_Accel_cal, 21
Measurement results and formulas
H is the frequency response function
S is the sensitivity
)()(
)(*)()(*)(*
)(*)()(*)(
fHfH
fHfSfHfS
fHfSfHfS
r
u
Br
Ax
Ax
Bu =
)()(*)()(
fHfHfSfS
r
uru =
giving the result
Filename, 22www.bksv.com_Accel_cal, 22
Precautions and Verifications
zSystem verification to check system stability
zCharge verification to check
(Working Standard)/(Reference Transducer) stability
zCoherence check
zCorrection formulas applied
Filename, 23www.bksv.com_Accel_cal, 23
Let us now look at the real thing!
Filename, 24www.bksv.com_Accel_cal, 24
Main Screen at start up, procedure manager
Sortable list of results
Type/procedure selection tree
Filename, 25www.bksv.com_Accel_cal, 25
Select the Type to be Calibratedfrom an existing type or define a new
Filename, 26www.bksv.com_Accel_cal, 26
Enter DUT specific data like customer etc ..
Filename, 27www.bksv.com_Accel_cal, 27
Execute test
Filename, 28www.bksv.com_Accel_cal, 28
Customer/Type/DUT selection
Filename, 29www.bksv.com_Accel_cal, 29
View and print the Calibration Certificate in Word
Filename, 30www.bksv.com_Accel_cal, 30
Calibration Certificate
Filename, 31www.bksv.com_Accel_cal, 31
Search for test results
Filename, 32www.bksv.com_Accel_cal, 32
View the result as at the test or print/view
Filename, 33www.bksv.com_Accel_cal, 33
System Configuration
Filename, 34www.bksv.com_Accel_cal, 34
Setting up the system, Reference Transducer
Filename, 35www.bksv.com_Accel_cal, 35
Setting up the system, Reference Capacitor
Filename, 36www.bksv.com_Accel_cal, 36
Setting up the system, Conditioners, Calibration
Filename, 37www.bksv.com_Accel_cal, 37
Setting up the system, Exciters, Characterization
Filename, 38www.bksv.com_Accel_cal, 38
Setting up the system, Working Standards, Transfer Cal.
Filename, 39www.bksv.com_Accel_cal, 39
% Uncertainty under different conditionsf-
range160 Hz
> 2 to 5 Hz
>5 to 10 Hz
> 10 to 20
Hz
> 20 to 40
Hz
> 40 to 500
Hz
> 0.5 to 1,25 kHz
> 1,25 to 2 kHz
> 2 to 4 kHz
> 4 to 5 kHz
> 5 to 7 kHz
> 7 to 10 kHz
PTB-DUT4809
0.35 0.42 0.42 0.36 0.42 0.42 0.42 0.57 0.57 0.65
PTB-DUT4808
0.36 0.34 0.36 0.43 0.43 0.43 0.48 0.48 0.48 0.85 0.85
DPLA-DUT4808
0.58 0.60 0.62 0.63 0.63 0.63 0.63 0.63 0.88 1.09 1.25
DPLA-DUT4809
0.58 0.62 0.62 0.58 0.58 0.58 0.85 0.90 1.08 1.58
DPLA+DUT4809
0.68 0.72 0.72 0.72 0.72 0.72 0.95 1.08 1.24 1.77
+/- DUT means with or without transverse and temperature influencePTB means PTB cal. at all points, DPLA means DPLA cal. only at 160 Hz
Filename, 40www.bksv.com_Accel_cal, 40
Shock Calibration
Filename, 41www.bksv.com_Accel_cal, 41
Shock Calibration (POP)
Runs on PULSE
The shaker has been replaced bythe ENDEVCO POP machine Type 2925(Pneumatically Operated Projectile)A pendulum can also be used for low levels
Filename, 42www.bksv.com_Accel_cal, 42
Shock Calibration (POP)
1 Cushioned restraint2 Transducer under test
and reference transducer3 Optional mass4 Anvil and pad5 Piston6 Barrel7 Valve8 Pressure regulator9 Pressurized air source
After ISO/DIS 16063-22
Filename, 43www.bksv.com_Accel_cal, 43
Real World Vibration Levels
1 000 000
1000
1
0.001
0.000 001
240
180
120
60
0
ms-2 dB
Filename, 44www.bksv.com_Accel_cal, 44
Examples of Shocks and Their Spectra
a)
b)
c)
A
m
p
l
i
t
u
d
e
A
T Time
A
m
p
l
i
t
u
d
e
A
T Time
A
m
p
l
i
t
u
d
e
A
T Time
1
Frequency
Frequency
Frequency
1/T 2/T 3/T
0.5
F(f)AT
1
1/T 2/T 3/T
0.5
F(f)AT
1
1/T 2/T 3/T
0.5
F(f)AT F f
ATAT ft
ft( ) = sin
F(f)AT
= +ATft ft
fTft
fT2
1 1 1 2 1 sin sin
F fAT
AT ftf T
( ) = 2
1 4 2 2cos
Filename, 45www.bksv.com_Accel_cal, 45
Shock parameters
Polynomial fit, 15 points.
Peak at:
T
levelatSensREFpeakREFpeakDUTySensitivitDUT ___
___ =
2)( ctbtatA ++=
cbt2
=
cbaApeak 4
2
=
ARef
t
ADUT
Tt
Filename, 46www.bksv.com_Accel_cal, 46
Shock parameters
ADUT
Duration=T
10% of maxPost-shock averagePre-shock average
T/2T/2 T/2T/2
[ ] %100)()(% ReRe =
peakDUT
prefpostfpreDUTpostDUT
aaaaa
Zeroshift
Filename, 47www.bksv.com_Accel_cal, 47
Shock parameters, linearity
g
Sensitivity pC/g
x
xx x
x x
x
x
bgagS +=)(
agS == )0( ( ) bggpCSlope =)//(0.0 g
=i
iCurveiMeasured gSgSR22 ))()((Quality of fit:
Filename, 48www.bksv.com_Accel_cal, 48
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