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pottery

½ð³æ (ÕýʽдÊÖ)

[ÇóÖú] matlab ÓÃsolve½â¾ö²»Á˵IJÎÊý·½³Ì Ôõô°ì£¿Çó´óÅ£ÃÇÖ¸µãÖ¸µã¹þ ÒÑÓÐ2È˲ÎÓë

Ö¸ÁîÈçÏ 5¸ö·½³Ì×éy1-5£¬Çó3¸ö²ÎÊýB2 B3 A3£»Çó°ïæ½â¾ö¹þ
syms B2 A3 B3 k1 k2 k3 a b z y1 y2 y3 y4 me2 me3
y1=int('(B2*sin(k2*z))^2 ',z,0,a)+int('(A3*exp(k3*z)+B3*exp(-k3*z))^2',z,a,b)-1;
y2=B2*sin(k2*a)-A3*exp(k3*a)-B3*exp(k3*a);
y3=B2*k2*cos(k2*a)/me2-(A3*k3*exp(k3*a)-B3*k3*exp(-k3*a))/me3;
y4=A3*exp(k3*b)+B3*exp(-k3*b);
y5=k3*sin(k2*a)/cos(k2*a)*me2+k2*me3*(exp(k3*b-k3*a)-exp(-k3*b+k3*a))/(exp(k3*b-k3*a)+exp(-k3*b+k3*a));
S=solve('y1','y2','y3','y4','y5','B2','B3','A3');
S.B2,S.B3,S.A3
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hppdyx

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pottery: ½ð±Ò+10, ¡ïÓаïÖú 2014-03-15 18:16:36
CODE:
function pottery
%%
syms B2 A3 B3 k1 k2 k3 a b z y1 y2 y3 y4 me2 me3;
y1=int((B2*sin(k2*z))^2,z,0,a)+int((A3*exp(k3*z)+B3*exp(-k3*z))^2,z,a,b)-1;
y2=B2*sin(k2*a)-A3*exp(k3*a)-B3*exp(k3*a);
y3=B2*k2*cos(k2*a)/me2-(A3*k3*exp(k3*a)-B3*k3*exp(-k3*a))/me3;
% y4=A3*exp(k3*b)+B3*exp(-k3*b);
% y5=k3*sin(k2*a)/cos(k2*a)*me2+k2*me3*(exp(k3*b-k3*a)-exp(-k3*b+k3*a))/(exp(k3*b-k3*a)+exp(-k3*b+k3*a));
S = solve(y1==0, y2==0, y3==0, B2, B3, A3);
S = [S.B2; S.B3; S.A3];
display(S);
% S.B2; S.B3; S.A3;

ÀïÃæÓÐÁ½¸öÎÊÌ⣺1. y5ÀïÃæ²»º¬Î´ÖªÊý

2. y1, y2, y3, y4Çó½âÈý¸öδ֪Êý£¬·½³Ì¶àÁË¡£¡£¡£ÎÒÉÏÃæÊÔµÄÊÇǰÈý¸ö·½³ÌÇó½âµÄ£¬¿ÉÒԵõ½½á¹û¡£µ«ÊÇʹÓò»Í¬µÄÈý¸ö·½³ÌÇóµÃµÄ½á¹û²»Í¬£¨ÒÑÊÔ£©¡£
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3Â¥2014-03-15 10:29:56
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
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pottery

½ð³æ (ÕýʽдÊÖ)

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2Â¥2014-03-12 11:37:35
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

pottery

½ð³æ (ÕýʽдÊÖ)

ÒýÓûØÌû:
3Â¥: Originally posted by hppdyx at 2014-03-15 10:29:56
function pottery
%%
syms B2 A3 B3 k1 k2 k3 a b z y1 y2 y3 y4 me2 me3;
y1=int((B2*sin(k2*z))^2,z,0,a)+int((A3*exp(k3*z)+B3*exp(-k3*z))^2,z,a,b)-1;
y2=B2*sin(k2*a)-A3*exp(k3*a)-B3*exp(k3*a);
y3=B2 ...

syms B2 A3 B3 k1 k2 k3 a b z y1 y2 y3 y4 me2 me3
y1=int('(B2*sin(k2*z))^2 ',z,0,a)+int('(A3*exp(k3*z)+B3*exp(-k3*z))^2',z,a,b)-1;
y2=B2*sin(k2*a)-A3*exp(k3*a)-B3*exp(-k3*a);
y3=B2*k2*cos(k2*a)/me2-(A3*k3*exp(k3*a)-B3*k3*exp(-k3*a))/me3;
y4=A3*exp(k3*b)+B3*exp(-k3*b);
y5=k3*sin(k2*a)/cos(k2*a)*me2+k2*me3*(exp(k3*b-k3*a)-exp(-k3*b+k3*a))/(exp(k3*b-k3*a)+exp(-k3*b+k3*a));
S=solve('y1','y2','y3','y4','B2','B3','A3');
S.B2,S.B3,S.A3
²Å·¢ÏÖy2©Á˸ö¸ººÅ£¬Ð»Ð»Äã¡£y5¿ÉÒÔ²»Óá£È·Êµ solveº¯ÊýºÃÏñ²»Äܽâ¾öÎÊÌâ¡£
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4Â¥2014-03-15 18:15:54
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

xmjiao

ľ³æ (ÕýʽдÊÖ)

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pottery: ½ð±Ò+20, ¡ïÓаïÖú 2014-03-17 22:08:30
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