Tests on a gyroscope show that it can withstand any random vibration along a given axis if the frequency content is between 0 and 1,000 rad/sec and the rms acceleration is less than 80 in/see. This gyro is to be mounted in a rocket where it will be subjected to acoustic-pressure-induced vibration. The transfer function between pressure and acceleration and the mean-square spectral density of pressure are as given in below figure 1. Will this gyro withstand the vibration? Vibration acceleration - Gyro in cys (in/sec²)2 rad/sec rad/e A,A, 1.0 as o 30 Output=sin((,- 30 Figure: 1 Output [coste,- eur - cos( + 0,r) 100 50 100 200 12.5 Random loading e(r) 300 400 500 200 +90'] + + sin(x, +, -90'] output spectral density 20 frequency, rad/sec (3.270) 500

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Tests on a gyroscope show that it can withstand any random vibration along a given
axis if the frequency content is between 0 and 1,000 rad/sec and the rms acceleration
is less than 80 in/see. This gyro is to be mounted in a rocket where it will be subjected
to acoustic-pressure-induced vibration. The transfer function between pressure and
acceleration and the mean-square spectral density of pressure are as given in below
figure 1. Will this gyro withstand the vibration?
-Structure
Vibration
acceleration
Output= A,A
2
Gyro
(in/sec²)2
rad/sec
اسه) |
ps 1.0
0.5
Spade
rad/sec
of
30
30
100
50
100
Figure: 1
Output = [coste, - t - costa, + cr]
2
12.5
-Random
pressure
loading
200
20
200
300 400
sin[(eu, — car + 90°] + ¹,¹ sin[(+r-90]
2
output spectral density
20
500
frequency, rad/see
4, rad/sec
500
(3.270)
1
Transcribed Image Text:Tests on a gyroscope show that it can withstand any random vibration along a given axis if the frequency content is between 0 and 1,000 rad/sec and the rms acceleration is less than 80 in/see. This gyro is to be mounted in a rocket where it will be subjected to acoustic-pressure-induced vibration. The transfer function between pressure and acceleration and the mean-square spectral density of pressure are as given in below figure 1. Will this gyro withstand the vibration? -Structure Vibration acceleration Output= A,A 2 Gyro (in/sec²)2 rad/sec اسه) | ps 1.0 0.5 Spade rad/sec of 30 30 100 50 100 Figure: 1 Output = [coste, - t - costa, + cr] 2 12.5 -Random pressure loading 200 20 200 300 400 sin[(eu, — car + 90°] + ¹,¹ sin[(+r-90] 2 output spectral density 20 500 frequency, rad/see 4, rad/sec 500 (3.270) 1
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