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% 無阻尼二自由系統(tǒng)固有頻率的程序 20180401A& |" y: u5 \; t' A1 B' }
m1=100;m2=100;k1=200;k2=400;%
. N3 }& E- I% I' E: Pc1=0;c2=0;
+ S0 Z+ ~" e+ {3 j. }x0=[1;0];xd0=[0;0];tf=50;dt=0.1;1 y6 d2 W8 A# I6 C! S
M=[m1,0;0,m2];k=[k1+k2,-k2;-k2,k2];/ L6 {1 p% [2 M4 E' W
c=[c1+c2,-c2;-c2,c2];% ^4 [- v. a4 F& N, x1 ]0 M) \5 G9 w- E
A=[zeros(2,2),eye(2);-M\k,-M\c];9 r2 t" {9 q4 Q$ I+ `5 s- a8 a
y0=[x0;xd0];: q' N! F' [" R9 S* E& |7 R" j& A" f9 G
for i=1:round(tf/dt)+18 ^1 Q" @+ f" k' v' q% j6 y
t(i)=dt*(i-1)
+ t% ?! J+ r, z5 [ y(:,i)=expm(A*t(i))*y0;
$ Z% e# t+ X* pend
& O O5 y6 o* H% C, P" I% J" Wsubplot(2,1,1),plot(t,y(1, ),grid
( K. N. Q( u1 S4 M7 W. C4 Csubplot(2,1,2),plot(t,y(2,),grid% e; X# i! W2 u1 e, v+ [
[p,lamda]=eig(A)
2 }2 Q2 Q7 [- X
" k5 Q% Z- n) l1 @
" p; w* \' Z+ R- ^4 y: X3 m8 s
7 D* x1 M; n2 x4 H, P* ]: |8 X$ W9 s9 Q* l' W' N- v
lamda =" t W3 W* ?3 a) Q$ L
Columns 1 through 2
6 I1 C; A7 P5 e 0.000000000000000 + 3.020447918044219i 0.000000000000000 + 0.000000000000000i/ R6 [, E/ |7 G; l9 s4 |
0.000000000000000 + 0.000000000000000i 0.000000000000000 - 3.020447918044219i6 V6 k% V& H" L2 n# G8 ~8 G& s
0.000000000000000 + 0.000000000000000i 0.000000000000000 + 0.000000000000000i
) X& k1 O& U+ Q$ O 0.000000000000000 + 0.000000000000000i 0.000000000000000 + 0.000000000000000i
) i" U7 L7 ~9 {% ^. O9 ? Columns 3 through 4
, E" F) | P' P. \, L2 D4 S7 { 0.000000000000000 + 0.000000000000000i 0.000000000000000 + 0.000000000000000i
9 a" b% Y- B9 \, Y4 K) A 0.000000000000000 + 0.000000000000000i 0.000000000000000 + 0.000000000000000i+ P; I. V ]" V1 q3 c
-0.000000000000000 + 0.936426384924271i 0.000000000000000 + 0.000000000000000i
7 n+ L1 T9 p& t% L! [ 0.000000000000000 + 0.000000000000000i -0.000000000000000 - 0.936426384924271i' ^/ F% w6 D4 p, N
% X. o& x( I( |: }+ O
0 h& C2 R& N* x7 p$ c- u* C' M, f! o" z& G. L- a
4 A& B# U( b0 M8 }6 g. b: O/ e
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發(fā)表于 2018-4-16 19:41:12
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