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1
Seismic Transducers
A seismic transducer consists of two basic components:
Spring – Mass – Damper Element
Displacement Transducer
(MS Fig 4.77)
(Note: xo = xi – xM)
2
Seismic Transducers – Acceleration Sensor
Let’s explore the dynamic response of the spring-mass-damper element alone.
Noting the sign conventions in Fig. 4.77, we have, from Newton’s second law for the motion of mass M, xM:
(Where xM = xi – xo)
(A classic 2nd Order System)
We define (again)
With the result
3
Seismic Transducer – Acceleration (cont).
Let’s associate the following:
Input is object acceleration
Output is relative displacement of M and object
Static Sensitivity (sec2)
Classic 2nd Order System
4
Seismic Accelerometer – Freq. Responce
5
Seismic Accelerometer – Freq Response (cont)
Question:
Over what range of frequencies can we actually use a seismic accelerometer?
Answer:
To be most useful we desire a “flat” frequency response and a “linear” phase shift. In other words, we need
SIG n
~ 0.4 – 0.6
But recall that
6
Seismic Accelerator – “Readout”
The previous discussion ignored the response of the displacement sensor used to measure xo!!
We need to consider this!
RECALL
System 1
qi,1
System 2
qi,2
qo,1
qo,2
7
Seismic Accelerometer
i. Resistive Potentiometer Readout
8
Seismic Accelerometer
ii. Piezo Readout
“Usable” range depends upon damping
9
Seismic Displacement
How about a seismic displacement transducer?
(We’ll let you do this one as homework).
10
Capacitance Transducers
Consider a basic parallel plate capacitor, with
C = Capacitance (pF)
A = Plate Area (in2)
x = Plate Separation (in)
If either x or A are changed, then C will change!!
11
Basic Capacitance Transducer Geometries
Linear Motion
Rotational Motion
Typical Capacitance Values
12
Capacitance Transducers – Signal Conversion
Capacitance is not easy to measure directly. We need to convert “signal” to current or voltage.
a. AC Voltage Approach
We apply a constant amplitude AC voltage, Vex, at = ex
This will re
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