In this paper, the measuring transducer which is composed of a mechanical and an electric system is considered. Let the voltage, current, and impedance of the electric system be
E,
I,
Z, respectively, the force, velocity and mechanical impedance of the mechanical system be
F,
v,
z, respectively, and further, the force factor be
A.
It is supposed the phenomena in the transducer to change sinusoidally. Then, if external force F is applied to the mechanical system and induced current is generated in the electric system,
z=
r+
jω
m+
s/
jω
I=- (
AF/
z=) / (
z=+
A2/
z=) =
E0/ (
z=+
z=
m) =-
AF/
z= {
r+
A2/
z=+
j (ω
m-
s/ω)
} -1 (1), where w is a working angular frequency. If
s/
m=ω
02 and
r+
A2/
z=
r',
I= (-
AF/
z=
r')
e-
jφ√1+ (ω
2m2/
r'
2) (1-ω
02/ω
2)
2tanφ= (ω
m-
s/ω)
r' (2)
Expression (2) gives the induced current in the electric terminal, when a mechanical signal is applied to the input terminal, and shows the frequency characteristics. If voltage e is applied to the electric terminals and the force of the mechanical terminals
F=0, instead, then
i=
z=
v/
A=
e/ (
A2/
z=+
z=) =
e/ (
z=+
z=
m) (3)
, where i is the current that flows in the electric circuit. Since expression (3) is of the same type as expression (1), we can easily derive expression (2) from (3). And the calibration curve of the measuring transducer can be obtained from (3). Therefore, the quantity of mechanics can be found by the electric system only of such a measuring transducer. Les us call the system in which expression (3) holds a “percussion system”.
In order to make sure of the idea above stated, we have taken a phonocardiograph as an example, calculated the constants of the phonocardiographic microphone, obtained the voltage sensitivity characteristics using the methods of motional impedance and of vibrometer, and compared them with those in an anechoic box etc.
The authors have made a further study of the relations between the sensitivity and frequency characteristics of a phonocardiographic microphone, and the influences of air compression in the anteroom of a closed room.
As a result, the motional impedance method that can be treated as a sound and vibration system in phonocardiography input has been found to be the most advantageous calibration for phonocardiography.
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