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Dynamics of Rotating Structures Revealed




  Using Non-Contact Laser Vibrometers
                               8/24/2012
Presentation Outline
Rotationalvibrations
   Technology behind rotational vibrometer
   Why use lasers?
   Application examples


Derotation
   Derotator
   Description
   Derotated   measurements
                                       8/24/2012
Vibration in Rotating Objects

Vibrations in horizontal, vertical and axial planes
are easy to measure with a single point sensor




                                          8/24/2012
Vibration in Rotating Objects

As shafts transmit power they create
and are subjected to torsional vibrations




                                            8/24/2012
Goal
  – Find critical resonances
  – Map operational deflection shapes
  – Verify finite element simulations

Under real operational conditions
Without altering the data!




                                        8/24/2012
The Contact Approach: Encoders
Disadvantage :
   – requires mounting
     on shaft end
   – instrumentation
     time
   – Location is fixed
   – Changes moment
     of inertia
                         pulley   adaptor               encoder


                                            8/24/2012
Vibration in Rotating Objects
Rotational pulses are due to changes in angular
velocity, and must be measured with a rotational
vibrometer.




                                         8/24/2012
RLV-5500 Rotational Vibrometer

Consists of
  – Optical Sensor Head
        (RLV-500)
   Compact
   Contains two Laser Doppler Interferometers
   IP67 protection




   – Demodulation Electronics
        (RLV-5000)

                                                8/24/2012
Rotational Vibrometer



             Dual Beam Sensor Head
Integrated meter shows centerline balance
and light return signal strength




                                            8/24/2012
Aligning Lasers with Shaft




 Balance
 Indicator:


              Symmetric      Asymmetric         One Sided


The measurement result is independent of the alignment, however,
asymmetry reduces the rpm measurement range.




                                                       8/24/2012
Rotational Vibrometer




The shape of the object is irrelevant,
and the measurement is insensitive to any lateral vibrations.

                                                           8/24/2012
Rotational Vibrometer

f DA =   2V A
          λ
                   Doppler Frequency Beam A

                                                       V A = ω R A cos α

f DB =   2VB
          λ
                   Doppler Frequency Beam B
                                                       V B = ω R B cos β

                d = RA cos(α) + RB cos(β)



                                        f D = 2d ω          fDλ
   f D = f DA + f DB                                 => ω =
                                               λ            2d
                                                            8/24/2012
Rotational Vibrometer
           fDλ
       ω =
           2d

 From the equation you can see that the rotational velocity ω
 is only dependant on:
          - λ (laser wavelength)
          - f D (measured)
          - d (beam separation)
 The radius, lateral position, out-of-plane and in-plane shaft vibrations
 are automatically cancelled out of the equation therefore:
  The measurement is insensitive to any lateral vibrations in x, y or z
  The measurement is insensitive to shape of object

                                                           8/24/2012
Signal Processing

                                                 Angular Velocity


                                                 Angular Displacement


                                                 RPM

DC and AC components are separated from one another
Complete separate decoding for RPM and dynamic component

Very small angular vibrations can be detected even at high RPM

Displacement is integrated velocity signal



                                                        8/24/2012
Advantages
• No special fixtures or prepared surfaces
• Shaft doesn’t have to be machined or even round
• Has a dual interferometer = better sensitivity
• Displays RPM without linear speed or radius info
• Switch turns rotational vibrometer into a single point
vibrometer
• Contains a Bragg cell allowing measurement of
positive and negative rotations as well as vibrations
around zero RPM

                                           8/24/2012
Sample Applications

   Measurement of Rotational Vibrations on:
      –   Crank Shafts
      –   Drive Shafts
      –   Clutches
      –   CV / Universal Joints
      –   Optimization of Tuned Mass Damper
      –   Paper and Printing webs

   Ramp Up – Ramp Down Characterizations:
      – Crank Shafts
      – Electric Motors
      – Coupled Machine Components

                                              8/24/2012
Belt Pulley of Crankshaft


                                               Single Point Vibrometer:
                                               Axial Vibrations




Rotational Vibrometer: Rotational Vibrations
                                                    8/24/2012
Crankshaft Results
                         2   4        6         8
  Engine Running Speed




                                 Frequency Spectrum

                                                    8/24/2012
Crankshaft Results

     Order Spectrum of the Rotational Vibrations




                                           8/24/2012
Drive Shaft Applications




Drive Shaft Torsional Response



                                 8/24/2012
Drive Shaft (Order Analysis) Applications


                                 Constant Velocity Joint
                                 Universal Joint Torsions




Drive Shaft Torsional Response




                                                  8/24/2012
Drive Train Testing




                      Measure events
              on high-dynamic dynamometers
                                   8/24/2012
Drive Train Testing
   Dual Mass Flywheel




Two flywheel masses that are linked by elastic springs

                                                  8/24/2012
Drive Train Testing




           Dual Mass Flywheel Results
                                        8/24/2012
Supercharger Order Analysis

If orders excited with too high of an amplitude, failures can occur
Very small hub requires non-contact method




                                                            8/24/2012
Application: Pump Shaft
Torsional vibration limit related to pump failure




                                            8/24/2012
Application: RPM Ramp Test on Clutch
  Dyno                      Absorber
  Drive

    1/RPM
    signal                       Data
                  RLV-500     Acquisition
             ∆ϖ




                                            8/24/2012
Drivability Motor Cycle
Tuning torsional
vibration dampers
   – test crank shaft
     vibration under
     driving conditions
                      measurement
                      with crank shaft
                      adapter




                          Source: InFocus 2008/2
                          courtesy BMW Group

                                                   8/24/2012
Performing Linear Measurements
With two beams any
translational movement is
canceled out in the signal

When terminating one beam
with a mirror, linear
movements can be detected




                                  8/24/2012
Performing Linear Measurements

 RLV-500




In the “II” position two beams are emitted and the unit is in rotational
mode.
In the “I” position one beam is emitted and the unit is in single point
mode.
In the “0” position both beams are shut off

                                                           8/24/2012
Accessories
90 degree deflection




Air Wipe




                       8/24/2012
Measurement Specifications                      (7.5 mm beam)


RPM Measurement:
   – Range: from -8,000 to +20,000 rpm
   – Analog Output: -4V …+10V
   – Error: <0.3%
Angular Velocity Measurement
   – Range: from << 10°/s/V up to 6,000°/s/V
   – Frequency Range: 0.5Hz to 10kHz
   – High pass and low pass filters, order and variable band pass filters
Angular Displacement Measurement
   – Measurement Range: 0.01°/V, 0.1°/V, 1°/V
   – Analog Output: + 10V
   – Frequency: 1 Hz up to 10 kHz


                                                           8/24/2012
Measurement Specifications                       (24 mm beam)

RPM Measurement:
   – Range: from -2,500 to +6,500 rpm
   – Analog Output: -2.5V …+6.5V
   – Error: <0.3%
Angular Velocity Measurement
   – Range: from << 10°/s/V up to 12,000°/s/V
   – Frequency Range: 0.5Hz to 10kHz
   – High pass and low pass filters, order and variable band pass filters
Angular Displacement Measurement
   – Measurement Range: 0.01°/V, 0.1°/V, 1°/V
   – Analog Output: + 10V
   – Frequency: 1 Hz up to 10 kHz


                                                           8/24/2012
Features
Bandwidth
   – (0) 0.5 Hz – 10 kHz
   – 30th order at max. speed
Resolution
   – 0.01 °/s = 0.00017 rad/s
   – sufficient for
       • combustion engines and gears
       • gas turbines (special mode for
         constant speed)
       • pumps
       • printers
   – limitation
       • steam turbines require 100 x
         resolution




                                          8/24/2012
Rotating the RLV Sensor Head
  If we reduce the beam separation either side of the rotational axis from
  d to d‘, we gain RPM range:
  d‘=d * cos Υ




                  d                           d'


  Rotating the sensor head and reducing the beam separation (d‘)
  allows us to not only measure higher rpm‘s but also on smaller
  shafts.
                                                         8/24/2012
Scanning Vibrometer Principle
Example: piezo motor

                                                         MP1        MP2        MP3         ...


                                                          sequential measurement at all points.
      video image object   meas. points in video image    Excitation for all points




                             spectrum MPn

                              phase reference

grid after measurement

                                                               deflection shape @ 36kHz
                              spectrum MPn+a

                                                                            8/24/2012
Drive Train Vibrations
scanning at fixed rpm along shaft
   – bending modes are visible
 20 Hz                      262 Hz




                                     8/24/2012
Measurements on rotating parts

Axial measurement on tire
Deflection shape of rotating tire
at 50 mph




                                    8/24/2012
Measurements on rotating parts
Radial measurement on tire
Deflection shape of rotating tire at 16 mph
  – Scan area limited
     by speed on
     circumference




                                          8/24/2012
Decoder saturation
Radial measurements
                   Tangent. velocity

          r                                   sensor
                      vtangent = ωr

                     Radial velocity

                               +v


                                0
     vtangential                                          t
                               -v   Time-signal
                                              8/24/2012
Measuring Rotating Structures –
The Goals:

Measure under real operating conditions
Track deflection shapes rotating with
structure to avoid smearing of data
Avoid the drawbacks of telemetry and/or slip
rings
And…..
Can we achieve all of this while enjoying the
benefits of laser vibrometry?



                                           8/24/2012   # 41
Vacuum Pump Counterweight
                   • Failing during operation
                   • Strain not predicted
                   • Vibrometer revealed
                      • 9th order of rotation
                         excites bending @
                         ~3875 rpm
                      • Deflection shape
                   • FE model updated
                   • Part redesigned



                                  8/24/2012
PSV-A-440 Optical Derotator
                       • Scanning Laser
                         Vibrometer
                          – ODS
                       • Single Point Laser
                          – Phase reference
                       • Object speed
                          – Max. 24,000 rpm
                       • Acceleration
                          – Max. 700 rpm/s
                              • For Order Analysis

                       • Scan angle
                          – Max. +/- 4°
                                      8/24/2012
Reference LDV                 Adjustable
     (OFV-505, IVS, PDV)              mirror for
                                   reference LDV
                                     positioning


                                    Derotator unit

   PSV Scan
     head
                              Adjustable base (for
   Co-axial unit for          alignment of rotating
   reference LDV                     axis)


   Derotator               Controller for motorized
   controller                 telescopic drive

Vertical telescopic
       drive

         Base frame

                                8/24/2012
Shift of Resonances During Run-up
                        • Curved plot of
                          Eigen resonances
                          – Stiffening of
RPM




                            material
                          – Centrifugal forces
                          – Excited by orders
            Frequency
                          – Important for
                            composites and
                            plastics

                                     8/24/2012
Run-up and shift of resonances


                       actual
                    resonance at
                       order


                      calculated
                      resonance

                eigenfrequency at
                    standstill

                                    8/24/2012
Bladed Disk: 10900 rpm




                         8/24/2012
Bladed Disk: 10900 rpm




            725 Hz   800 Hz
            845 Hz   895 Hz




                              8/24/2012
Applications
Electronic industry
   – Noise reduction in cooling systems for
     consumer products, trouble shooting
Aerospace
   – Durability and FE update on blisk and fans
Automobil
   – Cooling fans
   – Tires
   – Turbo Chargers (@ reduced rpm levels)

                                         8/24/2012
Benefits of Vibrometry with Optical
Derotation
• Whole field measured…..stress analysis, modal
analysis, FEM validation
• Acquire reliable FEM validation data under real
operating conditions
• Obtain operating deflection shapes rotating with
structure
• No added mass, change in flow dynamics
• No potentially noisy telemetry or slip rings

                                         8/24/2012
Conclusion
Optical vibration measurement
  – reduces limitations
  – avoids mass loading and added moment of
    inertia
  – allows assessment of resonances of
     • shafts (torsional and bending)
     • axial measurements of rotation objects
        – fans, tires ..
  – Optical Derotation delivers
     • order analysis
     • operational deflection shapes
                                                8/24/2012
Engineering Services and Rental Program
Advanced non-contact vibration and surface metrology measurements available for
                                 every budget

  Measurements using Polytec’s latest, non-contact measurement technology
  Skilled and experienced applications engineers to operate the measurement
   system to its fullest potential
  Convenience of testing at the customer’s facility or in a Polytec lab
  Short-notice, critical measurements
  Scheduled, occasional measurements
  Build justification prior to purchase
  Save cost by renting instead of buying
  Budget flexibility, rent-to-buy




                                                                 8/24/2012

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Dynamics of Rotating Structures Relealed

  • 1. Dynamics of Rotating Structures Revealed Using Non-Contact Laser Vibrometers 8/24/2012
  • 2. Presentation Outline Rotationalvibrations  Technology behind rotational vibrometer  Why use lasers?  Application examples Derotation  Derotator  Description  Derotated measurements 8/24/2012
  • 3. Vibration in Rotating Objects Vibrations in horizontal, vertical and axial planes are easy to measure with a single point sensor 8/24/2012
  • 4. Vibration in Rotating Objects As shafts transmit power they create and are subjected to torsional vibrations 8/24/2012
  • 5. Goal – Find critical resonances – Map operational deflection shapes – Verify finite element simulations Under real operational conditions Without altering the data! 8/24/2012
  • 6. The Contact Approach: Encoders Disadvantage : – requires mounting on shaft end – instrumentation time – Location is fixed – Changes moment of inertia pulley adaptor encoder 8/24/2012
  • 7. Vibration in Rotating Objects Rotational pulses are due to changes in angular velocity, and must be measured with a rotational vibrometer. 8/24/2012
  • 8. RLV-5500 Rotational Vibrometer Consists of – Optical Sensor Head (RLV-500) Compact Contains two Laser Doppler Interferometers IP67 protection – Demodulation Electronics (RLV-5000) 8/24/2012
  • 9. Rotational Vibrometer Dual Beam Sensor Head Integrated meter shows centerline balance and light return signal strength 8/24/2012
  • 10. Aligning Lasers with Shaft Balance Indicator: Symmetric Asymmetric One Sided The measurement result is independent of the alignment, however, asymmetry reduces the rpm measurement range. 8/24/2012
  • 11. Rotational Vibrometer The shape of the object is irrelevant, and the measurement is insensitive to any lateral vibrations. 8/24/2012
  • 12. Rotational Vibrometer f DA = 2V A λ Doppler Frequency Beam A V A = ω R A cos α f DB = 2VB λ Doppler Frequency Beam B V B = ω R B cos β d = RA cos(α) + RB cos(β) f D = 2d ω fDλ f D = f DA + f DB => ω = λ 2d 8/24/2012
  • 13. Rotational Vibrometer fDλ ω = 2d From the equation you can see that the rotational velocity ω is only dependant on: - λ (laser wavelength) - f D (measured) - d (beam separation) The radius, lateral position, out-of-plane and in-plane shaft vibrations are automatically cancelled out of the equation therefore:  The measurement is insensitive to any lateral vibrations in x, y or z  The measurement is insensitive to shape of object 8/24/2012
  • 14. Signal Processing Angular Velocity Angular Displacement RPM DC and AC components are separated from one another Complete separate decoding for RPM and dynamic component Very small angular vibrations can be detected even at high RPM Displacement is integrated velocity signal 8/24/2012
  • 15. Advantages • No special fixtures or prepared surfaces • Shaft doesn’t have to be machined or even round • Has a dual interferometer = better sensitivity • Displays RPM without linear speed or radius info • Switch turns rotational vibrometer into a single point vibrometer • Contains a Bragg cell allowing measurement of positive and negative rotations as well as vibrations around zero RPM 8/24/2012
  • 16. Sample Applications Measurement of Rotational Vibrations on: – Crank Shafts – Drive Shafts – Clutches – CV / Universal Joints – Optimization of Tuned Mass Damper – Paper and Printing webs Ramp Up – Ramp Down Characterizations: – Crank Shafts – Electric Motors – Coupled Machine Components 8/24/2012
  • 17. Belt Pulley of Crankshaft Single Point Vibrometer: Axial Vibrations Rotational Vibrometer: Rotational Vibrations 8/24/2012
  • 18. Crankshaft Results 2 4 6 8 Engine Running Speed Frequency Spectrum 8/24/2012
  • 19. Crankshaft Results Order Spectrum of the Rotational Vibrations 8/24/2012
  • 20. Drive Shaft Applications Drive Shaft Torsional Response 8/24/2012
  • 21. Drive Shaft (Order Analysis) Applications Constant Velocity Joint Universal Joint Torsions Drive Shaft Torsional Response 8/24/2012
  • 22. Drive Train Testing Measure events on high-dynamic dynamometers 8/24/2012
  • 23. Drive Train Testing Dual Mass Flywheel Two flywheel masses that are linked by elastic springs 8/24/2012
  • 24. Drive Train Testing Dual Mass Flywheel Results 8/24/2012
  • 25. Supercharger Order Analysis If orders excited with too high of an amplitude, failures can occur Very small hub requires non-contact method 8/24/2012
  • 26. Application: Pump Shaft Torsional vibration limit related to pump failure 8/24/2012
  • 27. Application: RPM Ramp Test on Clutch Dyno Absorber Drive 1/RPM signal Data RLV-500 Acquisition ∆ϖ 8/24/2012
  • 28. Drivability Motor Cycle Tuning torsional vibration dampers – test crank shaft vibration under driving conditions measurement with crank shaft adapter Source: InFocus 2008/2 courtesy BMW Group 8/24/2012
  • 29. Performing Linear Measurements With two beams any translational movement is canceled out in the signal When terminating one beam with a mirror, linear movements can be detected 8/24/2012
  • 30. Performing Linear Measurements RLV-500 In the “II” position two beams are emitted and the unit is in rotational mode. In the “I” position one beam is emitted and the unit is in single point mode. In the “0” position both beams are shut off 8/24/2012
  • 32. Measurement Specifications (7.5 mm beam) RPM Measurement: – Range: from -8,000 to +20,000 rpm – Analog Output: -4V …+10V – Error: <0.3% Angular Velocity Measurement – Range: from << 10°/s/V up to 6,000°/s/V – Frequency Range: 0.5Hz to 10kHz – High pass and low pass filters, order and variable band pass filters Angular Displacement Measurement – Measurement Range: 0.01°/V, 0.1°/V, 1°/V – Analog Output: + 10V – Frequency: 1 Hz up to 10 kHz 8/24/2012
  • 33. Measurement Specifications (24 mm beam) RPM Measurement: – Range: from -2,500 to +6,500 rpm – Analog Output: -2.5V …+6.5V – Error: <0.3% Angular Velocity Measurement – Range: from << 10°/s/V up to 12,000°/s/V – Frequency Range: 0.5Hz to 10kHz – High pass and low pass filters, order and variable band pass filters Angular Displacement Measurement – Measurement Range: 0.01°/V, 0.1°/V, 1°/V – Analog Output: + 10V – Frequency: 1 Hz up to 10 kHz 8/24/2012
  • 34. Features Bandwidth – (0) 0.5 Hz – 10 kHz – 30th order at max. speed Resolution – 0.01 °/s = 0.00017 rad/s – sufficient for • combustion engines and gears • gas turbines (special mode for constant speed) • pumps • printers – limitation • steam turbines require 100 x resolution 8/24/2012
  • 35. Rotating the RLV Sensor Head If we reduce the beam separation either side of the rotational axis from d to d‘, we gain RPM range: d‘=d * cos Υ d d' Rotating the sensor head and reducing the beam separation (d‘) allows us to not only measure higher rpm‘s but also on smaller shafts. 8/24/2012
  • 36. Scanning Vibrometer Principle Example: piezo motor MP1 MP2 MP3 ... sequential measurement at all points. video image object meas. points in video image Excitation for all points spectrum MPn phase reference grid after measurement deflection shape @ 36kHz spectrum MPn+a 8/24/2012
  • 37. Drive Train Vibrations scanning at fixed rpm along shaft – bending modes are visible 20 Hz 262 Hz 8/24/2012
  • 38. Measurements on rotating parts Axial measurement on tire Deflection shape of rotating tire at 50 mph 8/24/2012
  • 39. Measurements on rotating parts Radial measurement on tire Deflection shape of rotating tire at 16 mph – Scan area limited by speed on circumference 8/24/2012
  • 40. Decoder saturation Radial measurements Tangent. velocity r sensor vtangent = ωr Radial velocity +v 0 vtangential t -v Time-signal 8/24/2012
  • 41. Measuring Rotating Structures – The Goals: Measure under real operating conditions Track deflection shapes rotating with structure to avoid smearing of data Avoid the drawbacks of telemetry and/or slip rings And….. Can we achieve all of this while enjoying the benefits of laser vibrometry? 8/24/2012 # 41
  • 42. Vacuum Pump Counterweight • Failing during operation • Strain not predicted • Vibrometer revealed • 9th order of rotation excites bending @ ~3875 rpm • Deflection shape • FE model updated • Part redesigned 8/24/2012
  • 43. PSV-A-440 Optical Derotator • Scanning Laser Vibrometer – ODS • Single Point Laser – Phase reference • Object speed – Max. 24,000 rpm • Acceleration – Max. 700 rpm/s • For Order Analysis • Scan angle – Max. +/- 4° 8/24/2012
  • 44. Reference LDV Adjustable (OFV-505, IVS, PDV) mirror for reference LDV positioning Derotator unit PSV Scan head Adjustable base (for Co-axial unit for alignment of rotating reference LDV axis) Derotator Controller for motorized controller telescopic drive Vertical telescopic drive Base frame 8/24/2012
  • 45. Shift of Resonances During Run-up • Curved plot of Eigen resonances – Stiffening of RPM material – Centrifugal forces – Excited by orders Frequency – Important for composites and plastics 8/24/2012
  • 46. Run-up and shift of resonances actual resonance at order calculated resonance eigenfrequency at standstill 8/24/2012
  • 47. Bladed Disk: 10900 rpm 8/24/2012
  • 48. Bladed Disk: 10900 rpm 725 Hz 800 Hz 845 Hz 895 Hz 8/24/2012
  • 49. Applications Electronic industry – Noise reduction in cooling systems for consumer products, trouble shooting Aerospace – Durability and FE update on blisk and fans Automobil – Cooling fans – Tires – Turbo Chargers (@ reduced rpm levels) 8/24/2012
  • 50. Benefits of Vibrometry with Optical Derotation • Whole field measured…..stress analysis, modal analysis, FEM validation • Acquire reliable FEM validation data under real operating conditions • Obtain operating deflection shapes rotating with structure • No added mass, change in flow dynamics • No potentially noisy telemetry or slip rings 8/24/2012
  • 51. Conclusion Optical vibration measurement – reduces limitations – avoids mass loading and added moment of inertia – allows assessment of resonances of • shafts (torsional and bending) • axial measurements of rotation objects – fans, tires .. – Optical Derotation delivers • order analysis • operational deflection shapes 8/24/2012
  • 52. Engineering Services and Rental Program Advanced non-contact vibration and surface metrology measurements available for every budget  Measurements using Polytec’s latest, non-contact measurement technology  Skilled and experienced applications engineers to operate the measurement system to its fullest potential  Convenience of testing at the customer’s facility or in a Polytec lab  Short-notice, critical measurements  Scheduled, occasional measurements  Build justification prior to purchase  Save cost by renting instead of buying  Budget flexibility, rent-to-buy 8/24/2012