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