Page 53 - Mechanical Engineers' Handbook (Volume 2)

42 Input and Output Characteristics

Table 2 Ideal Linear Lumped Two-Ports
Governing Equations
Domain to Domain Name Figure Number (Left to Right in Figures)
Translation–translation Lever, 3a L 2
1
L distance F L 1 F 2
to function
v L 1 v 2
1
L 2
Rotation–rotation Gears, 3b N 1
N number of teeth 2
1
N 2
N 2 2
1
N 1
Rotation–translation Crank ( 1) 3c RF
or 3d 1
rack and pinion v
R
• • •
Screw 3e pF
(p length/radius) 1
v
p
Electrical–electrical Transformer 3ƒ N 1
V V 2
1
N 2
i N 2 i 2
1
N 1
Electrical–rotation Permanent magnet dc 3g V K
a b
motor
1
i
a
K m
Electrical–translation Voice coil 3h V K v
c
a
1
i F
a
K c
Fluid–translation Piston 3j 1
area A P A F
Q Av
Rotation–fluid Fixed-displacement 3k DP
pump-motor,
displacement/radius D 1 Q
D