±±¾©Ê¯ÓÍ»¯¹¤Ñ§Ôº2026ÄêÑо¿ÉúÕÐÉú½ÓÊÕµ÷¼Á¹«¸æ
²é¿´: 1453  |  »Ø¸´: 6
µ±Ç°Ö»ÏÔʾÂú×ãÖ¸¶¨Ìõ¼þµÄ»ØÌû£¬µã»÷ÕâÀï²é¿´±¾»°ÌâµÄËùÓлØÌû

bluethky

ľ³æ (ÖøÃûдÊÖ)

[ÇóÖú] ÓнçµÄÀ©É¢·½³ÌÈçºÎͨ¹ýµ÷ºÍº¯Êý·ÖÎö·¨À´Çó½â ÒÑÓÐ1È˲ÎÓë

Çó½âµÄÊÇÒ»¸öÓн磨-L,L£©µÄfickÀ©É¢·½³Ì£¬×÷Õß˵¿ÉÒÔͨ¹ýharmonic analysis £¬¾ÍµÃµ½À©É¢·½³ÌµÄ½â£¬ÓÃÒ»¸ö¼¶ÊýµÄÐÎʽ±íʾµÄ£¬Ã»Óп´³öÀ´ÔõôÀ´µÄ£¬Ã²ËÆÊÇÀëÉ¢µÄfourier±ä»»£¬²»¹ýÎÒҲûÓÐËã³öÀ´
Çó´óÏÀÖ¸µã£¬Ð»Ð»£¡


¸½¼þÊÇͼƬ£¬ÒѾ­Ïà¹ØµÄÎÄÏ×ÓнçµÄÀ©É¢·½³ÌÈçºÎͨ¹ýµ÷ºÍº¯Êý·ÖÎö·¨À´Çó½â
01.jpg


ÓнçµÄÀ©É¢·½³ÌÈçºÎͨ¹ýµ÷ºÍº¯Êý·ÖÎö·¨À´Çó½â-1
02.jpg
»Ø¸´´ËÂ¥

» ±¾Ìû¸½¼þ×ÊÔ´Áбí

  • »¶Ó­¼à¶½ºÍ·´À¡£ºÐ¡Ä¾³æ½öÌṩ½»Á÷ƽ̨£¬²»¶Ô¸ÃÄÚÈݸºÔð¡£
    ±¾ÄÚÈÝÓÉÓû§×ÔÖ÷·¢²¼£¬Èç¹ûÆäÄÚÈÝÉæ¼°µ½ÖªÊ¶²úȨÎÊÌ⣬ÆäÔðÈÎÔÚÓÚÓû§±¾ÈË£¬Èç¶Ô°æÈ¨ÓÐÒìÒ飬ÇëÁªÏµÓÊÏ䣺xiaomuchong@tal.com
  • ¸½¼þ 1 : supplementary.pdf
  • 2014-05-31 08:57:45, 112.63 K

» ±¾ÌûÒÑ»ñµÃµÄºì»¨£¨×îÐÂ10¶ä£©

» ²ÂÄãϲ»¶

» ±¾Ö÷ÌâÏà¹Ø¼ÛÖµÌùÍÆ¼ö£¬¶ÔÄúͬÑùÓаïÖú:

ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

bluethky

ľ³æ (ÖøÃûдÊÖ)

Ëͺ컨һ¶ä
Ê×ÏÈÏÈллÄãµÄÌáʾ£¬ÎÒÓм¸µã²»Ì«¶®£¬
1£©T'/(D*T)=X''/X=-lamda^2     ÎªÊ²Ã´ËûÃǵÄÖµÒªÉèΪ -lamda^2£¬ÊÇ´ÓÌâÖÐÒþº¬µÄÂð£¿

2£©sigma(Ck*<cos(k*pi/L*x),cos(n*pi/L*x)>*exp(-k^2*pi^2*D/L^2*ts)=cos(n*pi/L*xs)£¬Õâ¸öʽ×ӵĺ¬ÒåÊÇʲô£¿  ²»Ì«Àí½â

3£©Cn*exp(-k^2*pi^2*D/L^2*ts)*integrate(0,pi)dx(1+cos(2*n*x))/2*L/pi=cos(n*pi/L*xs) £¬Õâ¸öÎÒÒ²²»¶®£¬Ê½×ÓÖÐÒýÈëÁËÒ»¸ö£¨0£¬pi£©µÄ»ý·Ö£¬Ã»ÓÐÃ÷°×ÄúµÄ˼·
4Â¥2014-06-01 13:16:55
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 7 ¸ö»Ø´ð

xcenxcen

Òø³æ (СÓÐÃûÆø)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
ÕâÊÇÒ»¸öÁ½µã±ßÖµÎÊÌâ
P=X(x)*T(t)
XT'=DX''T
T'/(D*T)=X''/X=-lamda^2
X''+lamda^2*X=0
X=C1*cos(lamda*x)+C2*sin(lamda*x)
ÀûÓñßÖµÌõ¼þ: X'=C1*lamda*(-sin(lamda*x))+C2*cos(lamda*x)*lamda
x=0, X'=0 =====> C2=0
x=L, X'=0 =====> lamda*sin(lamda*L)=0
lamda*L=k*pi
lamda=k*pi/L
Xk(x)=C1*cos(k*pi/L*x)
Tk(t)=C3*exp(-k^2*pi^2*D/L^2*t)
Pk(x,t)=Ck*cos(k*pi/L*x)*exp(-k^2*pi^2*D/L^2*t)
P=sigma(Ck*cos(k*pi/L*x)*exp(-k^2*pi^2*D/L^2*t))
P(x,ts;xs,ts)=delta(x-xs)
sigma(Ck*cos(k*pi/L*x)*exp(-k^2*pi^2*D/L^2*ts))=delta(x-xs)
sigma(Ck*<cos(k*pi/L*x),cos(n*pi/L*x)>*exp(-k^2*pi^2*D/L^2*ts)=cos(n*pi/L*xs)
Cn*exp(-k^2*pi^2*D/L^2*ts)*integrate(0,pi)dx(1+cos(2*n*x))/2*L/pi=cos(n*pi/L*xs)
Cn*exp(-k^2*pi^2*D/L^2*ts)*L/2=cos(n*pi/L*xs)
Cn=2/L*cos(n*pi/L*xs)*exp(k^2*pi^2*D/L^2*ts)
P(x,t;xs,ts)=sigma(k=0,+infinity)2/L*cos(n*pi/L*xs)*cos(n*pi/L*x)*exp(-k^2*pi^2*D*(t-ts)/L^2).......
´ýÎÒ³¤·¢¼°Ñü£¬ÕÚסһÉí·Ê±ì¡£×ÝÈ»»¢±³ÐÜÑü£¬Ò²Òª¸ßÀä°Á½¿¡£
2Â¥2014-05-31 17:08:32
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

bluethky

ľ³æ (ÖøÃûдÊÖ)

ÒýÓûØÌû:
2Â¥: Originally posted by xcenxcen at 2014-05-31 17:08:32
ÕâÊÇÒ»¸öÁ½µã±ßÖµÎÊÌâ
P=X(x)*T(t)
XT'=DX''T
T'/(D*T)=X''/X=-lamda^2
X''+lamda^2*X=0
X=C1*cos(lamda*x)+C2*sin(lamda*x)
ÀûÓñßÖµÌõ¼þ: X'=C1*lamda*(-sin(lamda*x))+C2*cos(lamda*x)*lamda
x=0, X'=0 = ...

ÄãÓõķÖÀë±äÁ¿·¨Âð£¿ÏÈллÔÙ˵ÎҺúÿ´¿´µÄÄãÈçºÎËãµÄ
3Â¥2014-05-31 20:47:31
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

bluethky

ľ³æ (ÖøÃûдÊÖ)

×òÌìÍíÉÏÎÒ°´ÄúµÄ˼·¼ÆËãÁËһϣ¬×Ô¼º²»¶®µÄµØ·½£¬ÔÙÏòÄúÇë½Ìһϣ¬ÏÈллÀ²
5Â¥2014-06-01 13:17:49
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] 299Çóµ÷¼Á +8 15188958825 2026-03-25 8/400 2026-03-29 01:36 by fmesaito
[˶²©¼ÒÔ°] Çóµ÷¼Á 330·Ö 085600²ÄÁÏÓ뻯¹¤ +3 gqhhh 2026-03-22 3/150 2026-03-29 00:52 by 544594351
[¿¼ÑÐ] 0856Çóµ÷¼Á +11 zhn03 2026-03-25 12/600 2026-03-28 13:32 by ÌÆãå¶ù
[¿¼ÑÐ] ¡¾Çóµ÷¼Á¡¿085601²ÄÁϹ¤³Ìר˶ | ×Ü·Ö272 | +6 ½Å»¬µÄÊØ·¨¹«Ãñ 2026-03-27 6/300 2026-03-28 11:02 by gjlllb
[¿¼ÑÐ] 0856£¬²ÄÁÏÓ뻯¹¤321·ÖÇóµ÷¼Á +12 ´ó²öС×Ó 2026-03-27 13/650 2026-03-28 10:56 by self2008
[¿¼ÑÐ] 086502»¯Ñ§¹¤³Ì342Çóµ÷¼Á +6 °¢Ò̸´¹Å²»¹ý 2026-03-27 6/300 2026-03-28 07:06 by wangy0907
[¿¼ÑÐ] Ò»Ö¾Ô¸ Î÷±±´óѧ ×Ü·Ö282 Ó¢ÓïÒ»62 Çóµ÷¼Á +7 18419759900 2026-03-25 8/400 2026-03-27 16:38 by 18419759900
[¿¼ÑÐ] 307Çóµ÷¼Á +8 ³¬¼¶ÒÁ°º´óÍõ 2026-03-24 9/450 2026-03-27 15:34 by ³¬¼¶ÒÁ°º´óÍõ
[¿¼ÑÐ] 0703»¯Ñ§Ò»Ö¾Ô¸ÄϾ©Ê¦·¶´óѧ303Çóµ÷¼Á +3 zzffylgg 2026-03-24 3/150 2026-03-27 10:42 by shangxh
[¿¼ÑÐ] 292Çóµ÷¼Á +4 ÇóÇóÁËÊÕÏÂÎÒ°É£ 2026-03-26 4/200 2026-03-27 10:37 by zhshch
[¿¼ÑÐ] 0703»¯Ñ§338Çóµ÷¼Á£¡ +6 Zuhui0306 2026-03-26 7/350 2026-03-27 10:35 by shangxh
[¿¼ÑÐ] Ò»Ö¾Ô¸ÉÂʦ´óÉúÎïѧ071000£¬298·Ö£¬Çóµ÷¼Á +5 SYA£¡ 2026-03-23 5/250 2026-03-27 09:29 by ²»³Ôô~µÄ؈
[¿¼ÑÐ] 342Çóµ÷¼Á +3 ¼ÓÓÍaÀîzs 2026-03-26 3/150 2026-03-27 00:29 by wxiongid
[¿¼ÑÐ] 329Çóµ÷¼Á +5 1() 2026-03-22 5/250 2026-03-26 20:40 by fmesaito
[¿¼ÑÐ] ²ÄÁÏ¿ÆÑ§Ó빤³Ì 317Çóµ÷¼Á +4 JKSOIID 2026-03-26 4/200 2026-03-26 15:58 by ²»³Ôô~µÄ؈
[¿¼ÑÐ] Ò»Ö¾Ô¸ºÓ¹¤´ó 081700 276Çóµ÷¼Á +4 µØÇòÈÆ×ÅÌ«Ñôת 2026-03-23 4/200 2026-03-26 14:27 by zzll406
[¿¼ÑÐ] »·¾³×¨Ë¶324·ÖÇóµ÷¼ÁÍÆ¼ö +5 ÐùСÄþ¡ª¡ª 2026-03-26 5/250 2026-03-26 12:05 by i_cooler
[¿¼ÑÐ] 0854È˹¤ÖÇÄÜ·½ÏòÕÐÊÕµ÷¼Á +4 ÕÂСÓã567 2026-03-24 4/200 2026-03-25 13:29 by 2177681040
[¿¼²©] 26É격×Ô¼ö +3 whh869393 2026-03-24 3/150 2026-03-24 09:55 by 21018060
[¿¼ÑÐ] 335Çóµ÷¼Á +4 yuyuÓî 2026-03-23 5/250 2026-03-23 23:49 by Txy@872106
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û