Mechanical
Electrical
Hydraulic
Thermal
Alternative methods of producing transfer function:
1.
Time domain
: Use elemental laws and fundamental equations to produce timedomain system equations. Use
differentiation and substitutions to reduce system equations to a single inputoutput (I/O) differential equation. Take
Laplace transform (LT) of I/O differential equation (zero ICs for forced response). Solve for ratio of input over output
to produce transfer function.
2.
Laplace domain
: Derive the dynamical equations of motion as in Approach 1 above. Take LT’s of the individual
differential equations (with zero ICs). Algebraically reduce the LT system equations to single I/O equation. Solve for
ratio of input over output (LT) to produce transfer function.
3.
Block diagram
: Take LTs of elemental equations. Connect LT elemental equations using LT fundamental equations,
taking advantage of complex impedance concepts. Produce block diagram (BD) components of each LT
representation of fundamental laws. Connect BD components into BD of entire system. Use BD reduction
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 Fall '10
 Meckle
 Trigraph, Yi, dt

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