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具体程序在附件里,我经过两天的思索也没找到原因,希望大家留步帮个忙,谢谢!
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- close all
- clear
- cL= 6.29e3;
- cT= 3.23e3;
- la=11.1e10;
- mu=8.286e10;
- r2= 9.45e-3;
- r1 =8.23e-3;
- d =1.22e-3;
- n =1;
- ff=0.6e6;
- cp=2910;
- wh = 2*pi*ff;
- alpha = wh*abs(sqrt((1/cL^2 - 1/cp^2)));
- beta = wh*abs(sqrt((1/cT^2 - 1/cp^2)));
- %
- alpha2 = wh^2*(1/cL^2 - 1/cp^2);
- beta2 = wh^2*(1/cT^2 - 1/cp^2);
- k_wave = wh/cp;
- syms f g1 AA A1 B B1 z1 z2 z1_b z2_b w1 w2 w1_b w2_b r
- syms f_d1 g1_d1 f_d2
- if cp > cL
- z1 = besselj(n, alpha*r);
- z2 = besselj(n+1, alpha*r);
- z1_b = besselj(n, beta*r);
- z2_b = besselj(n+1, beta*r);
- %
- w1 = bessely(n, alpha*r);
- w2 = bessely(n+1, alpha*r);
- w1_b = bessely(n, beta*r);
- w2_b = bessely(n+1, beta*r);
- %
- elseif cL>cp & cp>cT
- z1 = besseli(n, alpha*r);
- z2 = besseli(n+1, alpha*r);
- z1_b = besselj(n, beta*r);
- z2_b = besselj(n+1, beta*r);
- %
- w1 = besselk(n, alpha*r);
- w2 = besselk(n+1, alpha*r);
- w1_b = bessely(n, beta*r);
- w2_b = bessely(n+1, beta*r);
- %
- elseif cp <= cT
- z1 = besseli(n, alpha*r);
- z2 = besseli(n+1, alpha*r);
- z1_b = besseli(n, beta*r);
- z2_b = besseli(n+1, beta*r);
- %
- w1 = besselk(n, alpha*r);
- w2 = besselk(n+1, alpha*r);
- w1_b = besselk(n, beta*r);
- w2_b = besselk(n+1, beta*r);
- end
- %
- f=AA*z1+B*w1;
- g1=A1*z2_b+B1*w2_b;
- %g3=A3*z1_b+B3*w1_b;
- %
- f_d1=diff(f,r,1);
- g1_d1=diff(g1,r,1);
- %g3_d1=diff(g3,r,1);
- f_d2=diff(f,r,2);
- %g3_d2=diff(g3,r,2);
- rr=-la*(r1^2+k_wave^2)*f+2*mu*(f_d2+k_wave*g1_d1);
- rz=mu*(-2*k_wave*f_d1+beta2-k_wave^2)*g1;
- rr1=subs(rr,r,r1);
- rr2=subs(rr,r,r2);
- rz1=subs(rz,r,r1);
- rz2=subs(rz,r,r2);
- rr1=vpa(rr1,10);
- rr2=vpa(rr2,10);
- rz1=vpa(rz1,10);
- rz2=vpa(rz2,10);
- AAS= poly_coef(rr1,AA);
- BS= poly_coef(rr1,B);
- A1S= poly_coef(rr1,A1);
- B1S= poly_coef(rr1,B1);
- AAS2= poly_coef(rr2,AA);
- BS2= poly_coef(rr2,B);
- A1S2= poly_coef(rr2,A1);
- B1S2= poly_coef(rr2,B1);
- %
- AAS3= poly_coef(rz1,AA);
- BS3= poly_coef(rz1,B);
- A1S3= poly_coef(rz1,A1);
- B1S3= poly_coef(rz1,B1);
- AAS4= poly_coef(rz2,AA);
- BS4= poly_coef(rz2,B);
- A1S4= poly_coef(rz2,A1);
- B1S4= poly_coef(rz2,B1);
- %
- %
- A(1,1)=AAS(1);
- A(1,2)=BS(1);
- A(1,3)=A1S(1);
- A(1,4)=B1S(1);
- A(2,1)=AAS2(1);
- A(2,2)=BS2(1);
- A(2,3)=A1S2(1);
- A(2,4)=B1S2(1);
- A(3,1)=AAS3(1);
- A(3,2)=BS3(1);
- A(3,3)=A1S3(1);
- A(3,4)=B1S3(1);
- A(4,1)=AAS4(1);
- A(4,2)=BS4(1);
- A(4,3)=A1S4(1);
- A(4,4)=B1S4(1);
- %
- A=eval(A);
- b=1e-100*ones(4,1);
- zz=A\b;
- AA=zz(1);
- B=zz(2);
- A1=zz(3);
- B1=zz(4);
- %
- uz=-k_wave*f-g1_d1-g1/r;
- ur=(f_d1+k_wave*g1);
- uz=eval(uz);
- ur=eval(ur);
- uz=vpa(ur,10);
- ur=vpa(ur,10);
- j=1;
- yy=[];
- cc=[];
- for r=8.23e-3:0.001e-3:9.45e-3
- yy(1,j)=eval(ur);
- cc(1,j)=eval(uz);
- j=j+1;
- end
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[ 本帖最后由 sigma665 于 2008-7-10 09:55 编辑 ] |
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