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% 無阻尼二自由系統(tǒng)固有頻率的程序 20180401A
7 X! p$ j8 s3 Km1=100;m2=100;k1=200;k2=400;%
v; D9 J( i! Gc1=0;c2=0;
. w. T1 R# {3 c/ k7 W) m# J) mx0=[1;0];xd0=[0;0];tf=50;dt=0.1;4 j) w5 i) v5 @' x* Q
M=[m1,0;0,m2];k=[k1+k2,-k2;-k2,k2];5 l# C; N2 n) _. m" |& k9 t5 t. i: O
c=[c1+c2,-c2;-c2,c2];
6 W! C1 p& O# f1 EA=[zeros(2,2),eye(2);-M\k,-M\c];; F5 ]3 X6 u' ^
y0=[x0;xd0];" D) w4 t- `1 t$ g6 e2 h: m+ d. A' a" z m
for i=1:round(tf/dt)+1: ^9 z1 E. V" x6 N# l
t(i)=dt*(i-1)
8 i Q4 b8 Z7 h i7 C8 N y(:,i)=expm(A*t(i))*y0;
3 o9 ?. t* E" [/ k6 j' H& M5 `end
2 B2 ~: v& N; i, r9 I9 Usubplot(2,1,1),plot(t,y(1, ),grid " M" K5 }: b6 l+ ~! G) i# v* t5 f
subplot(2,1,2),plot(t,y(2,),grid5 E: v- R8 x5 L
[p,lamda]=eig(A)
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/ V9 y# v' X1 vlamda =; G0 Y) ` H, c: d+ ~2 y
Columns 1 through 2) q3 ]7 h( T+ F9 t
0.000000000000000 + 3.020447918044219i 0.000000000000000 + 0.000000000000000i
) [' H& H) A6 O# } 0.000000000000000 + 0.000000000000000i 0.000000000000000 - 3.020447918044219i. A# {; `3 ~3 s: q, R( Y8 W% G; ^
0.000000000000000 + 0.000000000000000i 0.000000000000000 + 0.000000000000000i
4 N: h' [ I6 O. Q2 } 0.000000000000000 + 0.000000000000000i 0.000000000000000 + 0.000000000000000i9 d, o# h9 H1 D& q0 Y" Q9 w8 N: P# H
Columns 3 through 4
4 S" @) B: ^) t' E, {9 m 0.000000000000000 + 0.000000000000000i 0.000000000000000 + 0.000000000000000i
# i7 o& z( n7 d* X8 P, q% A$ t 0.000000000000000 + 0.000000000000000i 0.000000000000000 + 0.000000000000000i8 i6 J) k& w" B, V0 T' E; y
-0.000000000000000 + 0.936426384924271i 0.000000000000000 + 0.000000000000000i
; S7 D' d- {1 O2 E; l. S 0.000000000000000 + 0.000000000000000i -0.000000000000000 - 0.936426384924271i
. t8 S: W* N N s3 u/ k1 ~2 |8 c+ L1 v& J& `' P# x7 C, R
! f1 d( a! d* W' G2 l
" c, p6 X o3 ~, X* @
% U$ @6 k# K. ]$ a. W
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發(fā)表于 2018-4-16 19:41:12
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