Audio Engineering

(Barry) #1

698 Chapter 23


where Yem is electrical admittance due to mechanical circuit


G


R


B


em
em

em

electrical conductance

electrical s







⎛ 1



⎜⎜


⎜⎜




⎟⎟


⎟⎟


uubceptance
em

em
em

11


X


C


L


ω
ω



⎜⎜


⎜⎜




⎟⎟


⎟⎟


thus
j

em
m
m

ZL


Bl

R
C







22
1
ω



⎜⎜


⎜⎜




⎟⎟


⎟⎟


(23.31)


from ohmsem
m

R


Bl
R




22
(23.32)

C


Lm
em Bl
 22 Farads (23.33)

LCBlem  m^22 Hendries, (23.34)

where Rm is Kg/s (mechanical ohms), Lm is Kg, and Cm is meters/Newton and, by
inversion,


R


Bl
em Rme
 Mechanical ohms

22
(23.35)

C


L


em Bl
 e Metres/newton
22 (23.36)

L


L


Bl

e
me 22 Kg. (23.37)

It will be noted that in the analogue inductance (mass) in the mechanical circuit will
become a capacitance in the electrical circuit, etc.


At mechanical resonance


ω
ω

L


m Cm




1


0




⎜⎜


⎜⎜




⎟⎟


⎟⎟


(23.38)

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