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Unformatted text preview: s and functions of time. (9) It is useful to review methods for solutions of dynamic problems - see handout containing
"sequences of steps" to use, in particular the "all-at-once" linearization and deviation
variable introduction used in the derivation of transfer functions. Chap. 3:
Chap. 4: Laplace transforms for initial value problems
Transfer function approach and derivation of G(s) including derivation of linear
ODEs from nonlinear ODEs when necessary. Chap. 5: Familiarity with "simple" (no zeros) first-order and second-order dynamics, "cook
book" availability of responses to standard inputs of step, ramp and sinusoidal
functions of time. Standard parameters of TF models, i.e. zeta as damping
coefficient, tau for first-order and second-order systems (over-, critically- and
under-damped systems). Page 2 of 2
POTENTIAL TYPES OF PROBLEMS
1) Mathematical initial value problem (IVP): linear ODE type, solve for y(t) and evaluate y
at specified times by solving the ODE in "full" variable form. 2) Mathematical initial value problem (IVP): linear or nonlinear ODE type, solve for y(t)
and evaluate the deviation variable y'(t) or the full variable...
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This note was uploaded on 03/01/2012 for the course CHE 361 taught by Professor Staff during the Winter '08 term at Oregon State.
- Winter '08