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onexf

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Ïà¹ØµÄmathematica ¹«Ê½ÒѾ­¸øÐ´ºÃ£¬¾ÍÊDz»Çå³þÔõô×ö£¬Çë¸ßÊÖ°ïæ£¬¸ø³öÔ´´úÂëºÍ½á¹û(×îºÃÓÃ7.0µÄ°æ±¾)~
C1 = 120;
C2 = 100;
C3= 60;

Aa = - (Cos[alpha] Cos[v] + Sin[alpha] Sin[v])/Tan [beta];
Dir = Cos[beta]^2 (Cos[alpha]^2  Cos[v]^2 + Sin[alpha]^2  Sin[v]^2)/(1 + Aa^2) + (Sin[beta] Aa)^2/(1 + Aa^2);

p = (Cos[alpha] Cos[beta])^4 + (Sin[alpha] Cos[beta])^4 + Sin[beta]^4;
You = 1/(1/3/(C1 + 2*C2) - (1 - 3*p)/3/(C1 - C2) + (1 - p)/2/C3);

rad = ((C1 + 2*C2)*(C1 - C2 - 2*C3)*Dir + 2*C2*C3)*You/(2*(C1 + 2*C2)*(C1 - C2)*C3);

[ Last edited by onexf on 2011-3-23 at 19:50 ]
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¡ï ¡ï ¡ï ¡ï ¡ï ¡ï
onexf(½ð±Ò+1):лл²ÎÓë
cenwanglai(½ð±Ò+5): лл£¬ºÇºÇ£¬ºÜÓÐÄÍÐÄ¡£µÈlz¸øÄãbb¹þ£¡ 2011-03-23 23:52:26
onexf(½ð±Ò+30): ¶àл£¬Âé·³¼ÌÐø¸øÁ¦£¡ 2011-03-24 19:53:57
ben_ladeng: 2011-09-05 20:55:54
ÒýÓûØÌû:
Originally posted by onexf at 2011-03-23 16:00:38:


Ïà¹ØµÄmathematica ¹«Ê½ÒѾ­¸øÐ´ºÃ£¬¾ÍÊDz»Çå³þÔõô×ö£¬Çë¸ßÊÖ°ïæ£¬¸ø³öÔ´´úÂëºÍ½á¹û(×îºÃÓÃ7.0µÄ°æ±¾)~
C1 = 120;
C2 = 100;
C3= 60;

Aa = - (Cos[alph ...

Ô´³ÌÐòÈçÏÂ:

C1 = 120;
C2 = 100;
C3 = 60;
Aa = -(Cos[alpha] Cos[v] + Sin[alpha] Sin[v])/Tan[beta];
Dir = Cos[
      beta]^2 (Cos[alpha]^2 Cos[v]^2 + Sin[alpha]^2 Sin[v]^2)/(1 +
       Aa^2) + (Sin[beta] Aa)^2/(1 + Aa^2);
p = (Cos[alpha] Cos[beta])^4 + (Sin[alpha] Cos[beta])^4 + Sin[beta]^4;
You = 1/(1/3/(C1 + 2*C2) - (1 - 3*p)/3/(C1 - C2) + (1 - p)/2/C3);
rad = ((C1 + 2*C2)*(C1 - C2 - 2*C3)*Dir + 2*C2*C3)*
   You/(2*(C1 + 2*C2)*(C1 - C2)*C3);
Plot3D[NMaximize[{rad, 0 < v < 2 \[Pi]}, v][[1]], {alpha, 0,
  2 \[Pi]}, {beta, -\[Pi]/2, \[Pi]/2}]
Plot3D[NMinimize[{rad, 0 < v < 2 \[Pi]}, v][[1]], {alpha, 0,
  2 \[Pi]}, {beta, -\[Pi]/2, \[Pi]/2}]
Quit[]
¼ÆËã½á¹ûͼ:

¾ÍÊÇËãµÃºÜÂý
2Â¥2011-03-23 23:45:40
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

circlewu

½û³æ (Ö°Òµ×÷¼Ò)

¡ï
onexf(½ð±Ò+1):лл²ÎÓë
±¾ÌûÄÚÈݱ»ÆÁ±Î

4Â¥2011-03-24 08:21:38
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

zhouyadan2

Òø³æ (СÓÐÃûÆø)


¡ï
onexf(½ð±Ò+1):лл²ÎÓë
ÍÛ£¬ºÃÅ£°¡£¡
6Â¥2011-03-24 08:47:20
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

onexf

½ð³æ (СÓÐÃûÆø)


ÒýÓûØÌû:
Originally posted by mshwangg at 2011-03-23 23:45:40:
Ô´³ÌÐòÈçÏÂ:

C1 = 120;
C2 = 100;
C3 = 60;
Aa = -(Cos[alpha] Cos[v] + Sin[alpha] Sin[v])/Tan[beta];
Dir = Cos[
      beta]^2 (Cos[alpha]^2 Cos[v]^2 + Sin[alpha]^2 Sin[v]^2)/(1 +
       Aa ...

ллÄ㣬ÎÒÓÃSphericalPlot3D[rad,alpha,beta]×ö³öÀ´µÄÒ»¸ö3DÇò
×î´óÖµÕâ¸ö»¹¿ÉÒÔ£¨ÈçÏ£©£º

×îС»áÖµÕâ¸öÔõô»áÓÐÐ©Ææµã³öÏÖÄØ£¿£¨ÈçÏ£©


ÁíÎÒ¿´±ðÈ˵ÄÎÄÏ×Öл¹¿ÉÒÔ½«ÕâÖÖͼÐÍÇпª£¨ÇòµÄÀïÃæºÍÍâÃæ¶¼²»Ò»Ñù£¬»¹ÓÐÁ¢Ìå¸Ð£¬ÈçÏ£©£¬·Ç³£Ö±¹ÛƯÁÁ (ºÍÎÄÕÂ×÷Õß½»Á÷¹ý£¬Ëû˵ÓÃmathmatica×öµÄ£¬µ«Ô´ÂëÒѾ­¶ªÊ§ÁË)¡£Çë½Ì¸ßÊÖÔõôʵÏÖ£¿


[ Last edited by onexf on 2011-3-24 at 19:56 ]
8Â¥2011-03-24 19:52:58
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
¡ï ¡ï
ben_ladeng(½ð±Ò+2): ¿ÉÒÔÔÚÐÁ¿àµã 2011-09-05 20:56:25
ÒýÓûØÌû:
Originally posted by onexf at 2011-03-24 19:52:58:
ллÄ㣬ÎÒÓÃSphericalPlot3D[rad,alpha,beta]×ö³öÀ´µÄÒ»¸ö3DÇò
×î´óÖµÕâ¸ö»¹¿ÉÒÔ£¨ÈçÏ£©£º

×îС»áÖµÕâ¸öÔõô»áÓÐÐ©Ææµã³öÏÖÄØ£¿£¨ÈçÏ£©
[eimg]de/bc/45 ...

×îСֵµÄÆæµãÎÊÌâ¿ÖÅÂÐèÒªÄã×Ô¼ºÈ¥½â¾öÁË£¬ÎÒ¿´¹ýÔÚÄã¸ø¶¨µÄȡֵ·¶Î§ÄÚ×îСֵ£¨¼«Ð¡Öµ£©ÓÐÁ½¸ö£¬µ«ÊýÖµÊÇÒ»ÑùµÄ£¬ÄãÔÙ¿¼ÂÇϼÆËã¹ý³ÌºÍ²ÎÊýÊÇ·ñÕýÈ·ºÏÀí°É¡£
¹ØÓÚͼÇпªµÄÎÊÌ⣬ҪÊǼòµ¥µÄÇпª£¨»òÕß˵»­Ò»°ë£©µ¹ÊǼòµ¥£¬¾ÍÊÇcºÍdͼÄÇÖÖ£¬Ö»ÐèÒª½«ÈýάÇò×ø±ê·¶Î§É趨µ½0µ½Pi¾Í¿ÉÒԵģ¬Ê£ÏµľÍÊǸıäÑÕÉ«µÄÊÂÁË£¬¿´¿´°ïÖúÓ¦¸ÃÄܸ㶨¡£µ«ÊÇaºÍbÄÇÖÖÆÊÃæµÄû¸ã³öÀ´¡£Ô­±¾Ïë»­¸öÆ½ÃæÈ»ºóºÍaͼºÏµ½Ò»ÆðµÄ£¬È»¶øÓÃÇò×ø±êÎÒ²»»á»­Æ½ÃæÄÇλ³æ×ӽ̽ÌÎÒ£¿×î½ü±È½Ï棬ÄÔ½îÓе㲻¹»ÓÃÁË
9Â¥2011-03-29 22:13:09
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

rachel9610

½ð³æ (СÓÐÃûÆø)


¡ï ¡ï ¡ï
onexf(½ð±Ò+1):лл²ÎÓë
΢³¾¡¢ÃÎÏë(½ð±Ò+2): лл»Ø¸´£¡ 2011-05-01 18:25:08
onexf(½ð±Ò+30): xx! 2011-05-02 13:13:59
ÒýÓûØÌû:
Originally posted by onexf at 2011-03-24 19:52:58:
ллÄ㣬ÎÒÓÃSphericalPlot3D[rad,alpha,beta]×ö³öÀ´µÄÒ»¸ö3DÇò
×î´óÖµÕâ¸ö»¹¿ÉÒÔ£¨ÈçÏ£©£º

×îС»áÖµÕâ¸öÔõô»áÓÐÐ©Ææµã³öÏÖÄØ£¿£¨ÈçÏ£©
[eimg]de/bc/45 ...

I have writen the following code, and the singluar points are disppeared.
Try again, Plz!

C11 = 120;
C12 = 100;
C44 = 60;

n1 = Cos[a] Cos;
n2 = Sin[a] Cos;
n3 = Sin;

m1 = Cos[v] Cos[w];
m2 = Sin[v] Cos[w];
m3 = Sin[w];
AA = - (Cos[a] Cos[v] + Sin[a] Sin[v])/Tan;
Dir = Cos[
      b]^2 (Cos[a]^2  Cos[v]^2 + Sin[a]^2  Sin[v]^2)/(1 +
       AA^2) + (Sin AA)^2/(1 + AA^2);

p = n1^4 + n2^4 + n3^4;

you = 1/(1/3/(C11 + 2*C12) - (1 - 3*p)/3/(C11 - C12) + (1 - p)/2/C44);
((C11 + 2*C12)*(C11 - C12 - 2*C44)*Dir +
     2*C12*C44)/(2*(C11 + 2*C12)*(C11 - C12)*C44)*you;
radi = ((C11 + 2*C12)*(C11 - C12 - 2*C44)*Dir + 2*C12*C44)*
   you/(2*(C11 + 2*C12)*(C11 - C12)*C44);
ParametricPlot3D[{Abs[
    NMaximize[{radi, 0 + 0.01 < v < \[Pi] - 0.01}, v][[1]]]*n1,
  Abs[NMaximize[{radi, 0 + 0.01 < v < \[Pi] - 0.01}, v][[1]]]*n2,
  Abs[NMaximize[{radi, 0 < v < \[Pi]}, v][[1]]]*n3}, {a, 0,
  2 \[Pi]}, {b, -\[Pi]/2 + 0.01, \[Pi]/2}, PlotPoints -> 40]
10Â¥2011-05-01 13:27:47
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

mengxc

ľ³æ (ÖøÃûдÊÖ)


¡ï
onexf(½ð±Ò+1):лл²ÎÓë
¶¼ÕâôÀ÷º¦°¡£¬
11Â¥2011-06-06 16:50:11
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

huycwork

½ð³æ (ÖøÃûдÊÖ)


¡ï
onexf(½ð±Ò+1):лл²ÎÓë
ÕâÈí¼þºÜºÃÍæ°¡£¬±ØÐëµÄѧÏ¡£¶¥ÆðÏÈ~
12Â¥2011-06-09 15:36:51
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
¡ï ¡ï
onexf(½ð±Ò+1):лл²ÎÓë
ben_ladeng(½ð±Ò+1): лл²ÎÓë 2011-09-05 20:56:44
ÒýÓûØÌû:
2Â¥: Originally posted by mshwangg at 2011-03-23 23:45:40:
Ô´³ÌÐòÈçÏÂ:

C1 = 120;
C2 = 100;
C3 = 60;
Aa = -(Cos[alpha] Cos[v] + Sin[alpha] Sin[v])/Tan[beta];
Dir = Cos[
      beta]^2 (Cos[alpha]^2 Cos[v]^2 + Sin[alpha]^2 Sin[v]^2)/(1 +
       Aa^ ...

ËÙ¶ÈÌ«ÂýÁ˰¡
13Â¥2011-09-05 11:08:19
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

mchen10

½ð³æ (ÕýʽдÊÖ)


Ìû×ÓÕæ¾«²Ê!
ÒѾ­ÊÕ¼µ½ÌÔÌùר¼­¡¶´ó¿ªÑ۽硷
16Â¥2011-09-06 03:05:50
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

dxwbucea

Ìú³æ (ÖøÃûдÊÖ)


¡ï ¡ï
onexf(½ð±Ò+1):лл²ÎÓë
jjdg(½ð±Ò+1): ¸Ðл²ÎÓë 2012-02-07 11:05:46
ÕâÀï»¹ÕæÊDzØÁúÎÔ»¢£¬ÓкܶàµÄ¸ßÈ˰¡£¬Ó¦¸Ã¶àÀ´ÕâÀïѧϰѧϰ¡£
±¾ÈËÒ²ÖªµÀһЩMathematicaÈí¼þ£¬µ«Ë®Æ½»¹Ã»ÓÐÕâô¸ß¡£
¶¥Ò»Ï¡£
17Â¥2012-02-07 11:03:42
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
¼òµ¥»Ø¸´
2011-03-24 00:00  
onexf(½ð±Ò+1):лл²ÎÓë
ÒýÓûØÌû:
Originally posted by mshwangg at 2011-03-23 23:45:40: Ô´³ÌÐòÈçÏÂ: C1 = 120; C2 = 100; C3 = 60; Aa = -(Cos[alpha] Cos[v] + Sin[alpha] Sin[v])/Tan[beta]; Dir = Cos[ beta]^2 (Cos[alpha]^2 Cos[v]^2 + Sin[alpha]^2 Sin[v]^2)/(1 + Aa ...

Å£
k-li5Â¥
2011-03-24 08:41  
onexf(½ð±Ò+1):лл²ÎÓë
zhouyadan27Â¥
2011-03-24 08:47  
lxzhq14Â¥
2011-09-05 12:30  
onexf(½ð±Ò+1):лл²ÎÓë
2011-09-05 17:23  
onexf(½ð±Ò+1):лл²ÎÓë
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