698 Chapter 23
where Yem is electrical admittance due to mechanical circuit
G
R
B
em
ememelectrical conductanceelectrical s⎛ 1
⎝
⎜⎜
⎜⎜
⎞
⎠
⎟⎟
⎟⎟
uubceptance
emem
em11
X
C
L
ω
ω⎛
⎝
⎜⎜
⎜⎜
⎞
⎠
⎟⎟
⎟⎟
thus
jem
m
mZL
BlR
C22
1
ω⎛
⎝
⎜⎜
⎜⎜
⎞
⎠
⎟⎟
⎟⎟
(23.31)
from ohmsem
mR
Bl
R22
(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 ohms22
(23.35)C
L
em Bl
e Metres/newton
22 (23.36)L
L
Ble
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
ωL
m Cm