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% 無阻尼二自由系統(tǒng)固有頻率的程序 20180401A
- Y: {8 B7 o, h. J' v0 ~( k: R' X7 o- Rm1=100;m2=100;k1=200;k2=400;% ' g; b' U2 j* _4 P
c1=0;c2=0;
4 Y$ g% x; I( G) G2 bx0=[1;0];xd0=[0;0];tf=50;dt=0.1;: P! [- U1 q2 _ j+ B- J
M=[m1,0;0,m2];k=[k1+k2,-k2;-k2,k2];) c& C) X d- x* R0 r- c0 J, v# m
c=[c1+c2,-c2;-c2,c2];- i7 I3 D7 }) @/ ~
A=[zeros(2,2),eye(2);-M\k,-M\c];
5 H& U- I% {- u( c5 Ky0=[x0;xd0];8 Y- |, p! b$ f
for i=1:round(tf/dt)+1( D. D2 x- ]: V; ~6 z
t(i)=dt*(i-1)1 l' G: ], |3 B6 A7 k% ?- W
y(:,i)=expm(A*t(i))*y0;* V2 x f* F3 O1 N# p
end. o6 U& ^' N6 m+ a5 X( S& E! T
subplot(2,1,1),plot(t,y(1, ),grid 2 A0 R+ a2 y9 \3 T1 X# g* s/ H
subplot(2,1,2),plot(t,y(2,),grid4 |7 R3 r+ A* @6 K% U
[p,lamda]=eig(A): Y: ?' g" J8 q! i w
) Y- h8 ^& Y% K5 b9 {" h, c$ q8 g
. A) W: I0 l. D; h z4 i
9 s: Z( X( z+ C; A4 W3 T
6 P: \% L+ R, S0 L4 x! @+ p
lamda =
( \' ~+ B8 l/ w Columns 1 through 20 P% b9 @) }2 e, i3 t
0.000000000000000 + 3.020447918044219i 0.000000000000000 + 0.000000000000000i+ f1 H7 v* n# {$ t1 Y8 n$ J
0.000000000000000 + 0.000000000000000i 0.000000000000000 - 3.020447918044219i
& K8 _' f6 c* q7 p 0.000000000000000 + 0.000000000000000i 0.000000000000000 + 0.000000000000000i. [6 L& f. K- `6 X: {$ s0 e% I
0.000000000000000 + 0.000000000000000i 0.000000000000000 + 0.000000000000000i. x+ [5 N2 H: q0 Y
Columns 3 through 4
7 L- ` G+ _- d) x 0.000000000000000 + 0.000000000000000i 0.000000000000000 + 0.000000000000000i2 M% ?0 V2 X- P- h% k
0.000000000000000 + 0.000000000000000i 0.000000000000000 + 0.000000000000000i- j6 V% @$ U: g" z
-0.000000000000000 + 0.936426384924271i 0.000000000000000 + 0.000000000000000i
9 O: h4 Y4 g7 J5 b% _, v% x/ @ 0.000000000000000 + 0.000000000000000i -0.000000000000000 - 0.936426384924271i& f* z# N7 D# u! V! \. B% Y
1 {* h" i& A& w9 z$ D1 _$ f- B. E* N" d8 Z) F% u
$ h* u1 T( @% r2 T+ G C! g! u* B T+ @% r& `( d" ]0 j& h, a
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發(fā)表于 2018-4-16 19:41:12
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