|
|
EDA365欢迎您登录！
您需要 登录 才可以下载或查看，没有帐号？注册
x
我的代码如下：8 @5 K. Q$ n1 `+ a0 L+ m$ k
close all;
- `. ?2 x& |# K E- u' Zclear all;
$ u. E/ L" q& pL=1; EI=5; T=2; rho=2; M=6;* L. P- C5 p, J2 b3 L8 v* ^
nt=80000; nx=20; tf=15; Ttr=50;
) w; X" g* }, o3 M3 b2 p1 tdx=L/nx; dt=tf/nt;
6 n8 r' Z3 X; p' |4 i* rx = linspace(0,L,nx+1); t_tr = linspace(0,tf,Ttr+1);
" D7 v" o) [" J( m8 U8 L$ Vw=zeros(nx+1,nt+1);% V. J w ?$ o" z8 y( \. I+ z w
w3D_free=zeros(Ttr+1,nx+1);( r4 d# R7 `/ F# \6 X) ]$ N" ^
d=zeros(nt+1,1);
/ i1 o, N) T( F9 B Hfor j=1:nt+1
/ Z% E) w/ j: M+ k# ?, ` d(j) = 1 + sin(2*pi*(j-1)*dt) + cos(3*pi*(j-1)*dt) ;
/ o X; W0 q+ Fend' j# E3 o( z$ [: a
Br=90;Bl=-90;k=100;k1=1;k2=4;r=1;m=1;
) m' y* i( M ?: `( G( `+ u$ Z0 u+ @w=zeros(nx+1,nt+1); w3D_model=zeros(Ttr+1,nx+1); ^. w4 Z/ S/ Z+ L9 z) ~5 Z
u_model=zeros(nt+1,1);u3D_model=zeros(Ttr+1,1);
4 T4 V9 J& w* I) W$ iua=zeros(nt+1,1); d_estimate=zeros(nt+1,1);
. J% G: O; x) td1=zeros(nt+1,1);( h) ]- k! I y/ P2 n
dbar=max(abs(d));
' E8 I) U2 p9 j# Q. l; D3 fd_estimate(1:2)= dbar;0 s- ^6 d* V' p6 J+ e, b+ }
for i=1:nx+1* J& R$ o0 T! P$ e9 C5 Q
w(i,1)=(i-1)*dx;1 T: O" P0 f% z" C) B% [) j4 s- U* e
w(i,2)=w(i,1);% R' V* P5 J; A
end4 T' ?6 ^9 q9 v4 |* @, a
w(1, =0;w(2,=w(1,;
5 b1 c; W& W- J; j1 G* g+ mw3D_model(1,:)=w(:,1);w3D_model(2,:)=w(:,2);
6 | ] ^4 P5 m5 Qfor j=3:nt+1
5 r7 \( E9 V$ J! ^/ E for i=3:nx-1' L/ [$ U2 M9 J/ P
wxx=(w(i+1,j-1)-2*w(i,j-1)+w(i-1,j-1))/dx^2;
+ }! j1 n% W9 ` T4 ~ wxxxx=(w(i+2,j-1)-4*w(i+1,j-1)+6*w(i,j-1)-4*w(i-1,j-1)+w(i-2,j-1))/dx^4;
4 |5 `. T( s6 S7 P/ o w(i,j)=2*w(i,j-1)-w(i,j-2)+(T*wxx-EI*wxxxx)*dt^2/rho;, c& k" }# n5 {
end
) e$ H7 l. m6 i, \) V0 [0 d
4 |/ ~# H$ n0 {3 X4 [7 R wxl=(w(nx+1,j-1)-w(nx,j-1))/dx;/ B. V, c0 {% _ u
wxxxl=(w(nx+1,j-1)-3*w(nx,j-1)+3*w(nx-1,j-1)-w(nx-2,j-1))/dx^3;
" D9 N$ m" @" x wxxxtl=(w(nx+1,j-1)-3*w(nx,j-1)+3*w(nx-1,j-1)-w(nx-2,j-1)-w(nx+1,j-2)+3*w(nx,j-2)-3*w(nx-1,j-2)+w(nx-2,j-2))/(dt*dx^3);2 Y V9 M& A+ ^( r4 l, ], }- f5 }
wxtl=(w(nx+1,j-1)-w(nx,j-1)-w(nx+1,j-2)+w(nx,j-2))/(dx*dt);
; }7 q" U! |5 H' @* ~& J wtl=(w(nx+1,j-1)-w(nx+1,j-2))/dt;
$ ^% O7 Y* O! D- ] i% W- C: p ua(j)=wtl+k1*wxl-k2*wxxxl;
5 C9 {' ^" {; x+ q# @0 ?9 @6 |. t5 a d_estimate(j)= (abs(ua(j))+d_estimate(j-1))/(1+r*dt); X. T4 e1 F. v
u_model(j)= (-EI*wxxxl+T*wxl-k1*M*wxtl+k2*M*wxxxtl-k*ua(j)-sign(ua(j))*d_estimate(j))/m;
2 H0 N% G8 ~# C. r/ N4 o dv=(u_model(j)-u_model(j-1))/dt;
( M+ W# R, a2 r" r }* |& |9 D% j if dv>0. y2 J3 f7 a# L" ~, C
d0=-m*Br;
, ]8 ?' b- g0 o, K! d else% |( i5 S! y( d. D5 s4 r1 Z
d0=-m*Bl;
6 _! b- s1 B2 _$ W9 {: a end# V- K0 {0 y' t2 ^& F
d1(j)=d0+d(j);* t, R0 K' e- w- s
w(nx+1,j)=2*w(nx+1,j-1) - w(nx+1,j-2) + (m*u_model(j-1)+d1(j-1)+EI*wxxxl-T*wxl)*dt^2/M;
5 e4 @1 l8 _, U$ p w(nx,j)=(w(nx+1,j)+w(nx-1,j))/2;6 g3 ? Y8 S& C' V; q6 Y6 ?
if mod(j-1,(nt/Ttr))==0$ s+ N& W* s- e# n3 s3 k
w3D_model(1+(j-1)*Ttr/nt,:)=w(:,j);
) f* q2 [$ v/ ] u3D_model(1+(j-1)*Ttr/nt)=u_model(j);
& C8 C, z5 e: r2 W end7 S3 D4 l0 b n, a" G& O
end
; G( f/ U$ O8 v0 n9 X( Yfigure(1);- |+ }4 e) e. J+ ]& S
suRF(x,t_tr,w3D_model);
! {! b9 f9 p' y. ~title('Displacement of beam with robust boundary control');6 P6 u& E7 ` D. Y
ylabel('Time (s)','Fontsize',12);
+ F. n, X+ [, E! Y, ~6 [4 E0 axlabel('x(m)','Fontsize',12);. \7 k1 s( |+ J2 F8 n( G) [+ _) u
zlabel('w(x,t)(m)','Fontsize',12);$ ~% B' K7 x5 i. O8 B% _! V
figure(2);
& A6 x$ }- L* Tplot(t_tr,u3D_model,'r')2 X; ^" l8 W' o2 C7 u% P
xlabel('time');3 g& |9 t& R! ?( C( Y. l" i
ylabel('u');
2 r8 v" b2 m0 K2 |+ _3 r) n* X
# h" |& u9 u1 G$ P+ _
/ D% V' i4 v3 y' Y; a以上我的代码没出问题，但图像出不来,求助!
6 ]* {: ]* f0 g, F; n% W z' _ |
|
/1 
发表于 2020-9-27 13:49
收藏
淘帖
支持！
反对！
