ae383 - system dynamics
DESCRIPTION
some stuffTRANSCRIPT
X o d ~ 9 h m s 3 I-zGszI
q = J-7' 4 (lumped)
4 EdIer fcruuard diff scheme
r Shift - f ( f )~( t l some
If t c -a ) '4 (4-43
-rt -3t - t .t I t e I t - e + \ \ e - C
i -C) u (t)
Y CS) 4rqnsfec function -+ Gk) = Q Cs)
K; = \ i ~ (s- 7;) XCS) 9 Residue %orem
5-35;
X T r m s k c $unctions are rc\lled impdne
n --I - &.IT 0-7 y ?+ La-
-('irS+ ccdctilng She inner \ o q :
- d c, 0-- - "in - R L i i + LA - + ec d-4
I + cs (L, s + a,) 4
4 CJ) -m
4
I-', r, 8, - wz N, - rt = - - = - - - To, t GI @ r N2 f'2
cid fie lect?ng 9
-to m a k e
h = h-h,
@ equilibrium
Sflstim O d e r :
4* o r d e r
Pd order
exam 14 P 6'c'' V ; S ~ ~ S -frict;on meff i i lent
R d ; + - i I d+ c
t Rd; , , r = d e dl c b4
+ $(4) = A s h (wt)
~ i m (I- s r n ~ w , , ~ ) -t "Cant ' d 9c (+I = -
a w n wn
1
o first srdw ( free re-s o , ; m ~ ~ ~ s ~ , d e ~
r w = 1. (I - h") 2
bounded
a It)
Def inieions f
Q r o o t
Ch~rr\rtei ls t ic Equa-I-ioion: b ( 5 )
3, #P, .P , - - - p,
fins\ uQ\*e Theorem :
s t e ? i ~ p d k
rsmp i n pu-t
pcusbofic
0 Type s JSem 8 s ( s L + S -e \b)
C- &m 5 \ . -
Qss 5-3 o s(s2ist16) + YCstl) se
f (t' st
n o n - u o ; t - k e d k c k sy+Qfns ; he k- 3alh 0 $ t h e The 4-nble s??'ies +Q
step response :
3-x - d s ~ +, I ~ Q x . */. ouwshook \ = x 100 gss
J C S ) = a,= For acs]
""i2~~+""1
-+ find r~ such *a+
o kooks c\os& to t Trn QGS dom;nbter the r s p o n r e .
Can u ~ g ~ j e +msient p & ~ r n a o c e t o r r n u l ~ l ( A ( , k S , m ~ ~ * / o omihoot )
0
a s o r - otf ua 4-0 c n ~ . l e c t
- - - x u -
BC))= s 2 + 2 s + 4 = Q