RESULTS OF INJECTION TEST ON 15,16...
Transcript of RESULTS OF INJECTION TEST ON 15,16...
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RESULTS OF INJECTION TEST ON 15,16 FEB.
Shimoda Tomofumi
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Overview of injection test
■ target : simple pendulum with a photosensor
■ coupling function measurement (linear transfer) & noise budget
– magnetic (large coil)– acoustic (speaker)– shaking (hit with screw drivers)
■ nonlinear correlation analysis
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Setup
■ a
magnetometer(Mag649)
pendulum& photosensor
accelerometer(Kistler) microphone
(Audio-technica)
speaker
coil
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pendulum
photo sensor(fixed to the ground)
test mass (~ 110 g)
magnets (~0.26 A m2)
suspension(f0~3Hz, Q~10)
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PSD without injection
microphone
magnetometer
accelerometer
pendulum
instrumental self noise?
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Coupling function measurement (injection)
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equipments
■ aaa
amplifier(RMX5050a)
functiongenerator
SR560(for broadband)
coil
speaker
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injection signal (magnetic, acoustic )1. comb (4.7Hz ramp)
2. broad band (random: 3-30Hz for mag/ 3-300Hz for aco)
t
t
f4.7 9.4 ......
f3 30
(300)
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Coupling function (magnetic)
pendulum motion circuit
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Coupling function (acoustic)
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injection (acceleration)
■ hit with a screw driver
test nass
box
acc.
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Coupling function (acceleration)
(extreme repeatability)
theoretical line: 1/ω 2
(if the frame is rigid)
resonance of the frame?
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Noise budget
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Noise budget of pendulum
accelerometer self noise?
acoustic noise
magnetic noise
acceleration noisependulum
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Noise budget of accelerometer
accelerometer signal acoustic acceleration
magnetic noise
(self noise?)
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acoustic wave to acceleration
coupling function from microphone to accelerometerduring speaker injection
~ flat
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accelerometer noise
speaker vibration is not dominant during the injectionif it is dominant...→ actual (acc.)/(sound) is less than measured coupling function (Kistler)/(mic.)→ estimated noise (Kistler)/(mic.)�(sound PSD) will exceed accelerometer noise level
grooundvibration
accelerometer
pendulumindirect shaking
direct shaking
sound wave directly shakes the frame→ (acc.) ∝ (force from sound)(in case of indirect shaking : (acc.) ∝ (pend. motion) ∝ (force from sound)/f2 )
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Noise budget of microphone
microphone signal
magnetic noise
coupling from frame acceleration(upper limit)
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summary of linear analysis
■ acoustic acceleration on the frame seems to be the dominant noise source @ 30-300Hz
pendulumshaking
sound
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problems
■ decoupling of sensor signals– (e.g.) Does the microphone actually measure acoustic
fluctuations? or limited by other noise?
■ better sensors (especially, microphone & accelerometer) are required to investigate lower frequency band
– use seismometers?
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Nonlinear injection
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method
■ change the position of the photosensor– enlarge the nonlinearity of the photosensor
■ inject sinusoidal wave – nonlinear signal will appear at harmonic frequencies
point a : linear
point b : nonlinear
point c : between a & b
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injection
■ 47Hz acoustic wave– Amplifier gain = 12dB, 18dB, 22dB
■ Harmonic acoustic waves appear due to the nonlinearity of the speaker
amplifier47Hz sin speaker
nonlinearity of the speaker
injection frequency
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nonlinear signal of the PS
c b
a
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compare with linear transfer of acoustic harmonics■ nonlinear signal of the photosensor exists
(magenta) = (red)/30: contribution from linear transfer of acoustic harmonic wave
microphone -> PS
47Hz 94Hz
�1/30
(offset from the magenta line) = (nonlinearity of the photosensor)
(a)
(c)
(b)
... why (c) is linear? (point (a) should be linear instead of (c))
acoustic harmonics
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summary of nonlinear injection■ nonlinear signals of the photosensor are observed
– let’s do nonlinear correlation analysis !!
■ point (c) somehow shows linear response while (a) shows nonlinearity
– due to nonlinearity of the microphone?– response of the photosensor was locally linear at (c) and
nonlinear at (a)?
locallynonlinear?
locallylinear?