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As,ef | ¹ê»Ú±Ä¥Î¿ûµ¬ºI±±¿n |
Asl | Áa¦V§Ü§á¿ûµ¬ºI±±¿n |
Ast | ¾î¦V§Ü§á¿ûµ¬ºI±±¿n |
Asw | °Å¤O¿ûµ¬ºI±±¿n |
As2 | ¨üÀ£°Ï¤º¿ûµ¬ºI±±¿n |
A0 | ¶°¤¤¥~¤Oª½±µ¦û¥Î¤§±¿n |
Al | µê³]½ü¹ø½u¤º¤§±¿n |
E | ¼u©Ê¼Ò¶q |
Ec | ²V¾®¤g¼u©Ê¼Ò¶q |
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F | ¤O¡F««ª½¤O |
Fs | ¦bÃ赬¤§¤O |
FSd | ¥~¥[¤O³]pÈ |
Ft1,Sd | ¦X©Ô¤O |
H | ¤ô¥¤O |
l | ºD©Ê¯x |
lc | ºc¥ó²V¾®¤g³¡¤À¤§ºD©Ê¯x |
J(t,t0) | įÅܨç¼Æ |
M | Ås¯x |
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N | ¥¿¦V¤O |
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Pk,sup | ¹wÀ³¤O°ª¼ÐÈ |
Pk,inf | ¹wÀ³¤O§C¼ÐÈ |
Pm,t | ¹wÀ³¤O¥§¡È |
Pm,0 | t = 0¤§ªì©l¹wÀ³¤O¥§¡È |
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RH | ¬Û¹ïÀã«× |
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TSd | ¥~¥[§á¯x³]pÈ |
V | °Å¤O |
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b, bi, bi' | ¤Ø¤o¡FºI±¼e«× |
bef, bef1, bef2 | ¦³®Ä¼e«× |
bm | ªOºc¥ó¼e«× |
bt | ¨ü©Ô°ÏºI±¥§¡¼e«× |
bw | ºI±¸¡³¡¼e«× |
bx, by | Á{¬É½ü¹ø½u¥¿Å²ü¸ü x ¤Î yÃ䤧ªø«× |
c | ¿ûµ¬«OÅ@¼h |
d | ºI±¦³®Ä°ª«×¡Fª½®| |
dg | °©§÷¤§³Ì¤j¤Ø¤o |
dw,max | µ²ºcÅé³Ì¤j¤¹³\¤ô¥¦ì²¾ |
d0 | ¨R¤Á¤OÁ{¬É½ü¹ø½uª½®| |
e, ex, ey | °¾¤ß¶Z¤Î¨ä¤À¶q |
ea, eax, eay | °¸µM°¾¤ß¶Z¤Î¨ä¤À¶q¡]®À¦±¡^ |
ec, ecx, ecy | įÅÜ°¾¤ß¶Z¤Î¨ä¤À¶q¡]®À¦±¡^ |
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fc | ²V¾®¤g§ÜÀ£±j«×È |
fcd | ²V¾®¤g§ÜÀ£±j«×³]pÈ |
fck | ²V¾®¤g28¤é§ÜÀ£±j«×¼Ð·ÇÈ |
fck,cubo | ²V¾®¤g§ÜÀ£±j«×¼Ð·ÇÈ¡]¤è¶ô¡^ |
fck,cyl | ²V¾®¤g§ÜÀ£±j«×¼Ð·ÇÈ¡]¶ê¬WÅé¡^ |
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fcm,j | ²V¾®¤g j ¤é§ÜÀ£±j«×¥§¡È |
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fctd | ²V¾®¤g§Ü©Ô±j«×³]pÈ |
fctk | ²V¾®¤g28¤é§Ü©Ô±j«×¼Ð·ÇÈ |
fctk,j | ²V¾®¤g j ¤é§Ü©Ô±j«×¼Ð·ÇÈ |
fctm | ²V¾®¤g28¤é§Ü©Ô±j«×¥§¡È |
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fsyd | ´¶³q¿ûµ¬©}ªAÀ³¤O©Î³W©w«D¤ñ¨Ò©Ô¦ùÀ³¤O¡]0.2%¡^³]pÈ |
fsyk | ´¶³q¿ûµ¬©}ªAÀ³¤O¼Ð·ÇÈ |
h, hi | ºI±Á`°ª«×¡FªO«p«× |
htot | µ²ºcÅéÁ`°ª«× |
i | ºI±¦^Âà¥b®| |
j | ²V¾®¤gÄÖ´Á |
k | ¨C³æ¦ìªø«×¤§«D¯S·N¨¤°¾¦ì¡FÀ³¤O¤£§¡¤Ã¤À§G¦Û°Ê¥¿Å®ÄÀ³«Y¼Æ |
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k2 | ©ÔÀ³¤O¤À§G¼vÅT«Y¼Æ |
kσ | À³¤OÀ³ÅܤñÈ |
l | ²z½×¸ó«×¡F¬W¦Û¥Ñªø«× |
lb | ¿ûµ¬Áã©Tªø«×°òÂ¦È |
lb,net | ¿ûµ¬Áã©Tªø«× |
lbp | ¥ý±iªk¹wÀ³¤O¿ûµ¬Áã©Tªø«× |
lb,o | ¿ûµ¬¤§Å|±µªø«× |
lef | ¦³®Ä¸ó«× |
li | ¼Ù©ÎªO¤§µ¥®Ä¸ó«× |
ln | ¤ä©Ó¶¡¤§²b¶Z |
lo | ®À¦±¦³®Äªø«× |
lo¡¦ | ¹sÅs¯x¶¡¤§¶ZÂ÷ |
lp | ¦]¹wÀ³¤O©Ò¤Þ°_¤§À³¤O½Õ¾ã¶ZÂ÷ |
lx, ly, l1, l2 | ¤ä©Ó¶b¶¡¶ZÂ÷ |
mSdx, mSdy | x¤Î y¤è¦V¨C³æ¦ì¼e«×¤§³Ì¤pÅs¯xÈ |
mx, my, mxy | Ås¯xÈ |
n | ¼Ó¼h¼Æ¥Ø |
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r | ¦±²v¥b®| |
rcs | ¦¬ÁY¾ÉP¤§¦±²v |
rinf | §C¼Ð¨t¼Æ |
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u | ©P¬É |
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z | Ås¦±¤º¤OÅs¯xÁu |
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Δa, Δb, Δd | ¤Ø¤o¤§®e³\»~®t |
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Δσ | À³¤OÅÜ¤Æ |
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£b | «Y¼Æ |
£c | ¨¤«× |
£f | «Y¼Æ¡Fºc¥ó²Óªø«× |
£g | ¿iÀ¿¤O«Y¼Æ |
£h | ªyªQ¤ñ |
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£lw | °Å¤O°tµ¬²v |
£lr | ¿ûµ¬¦³®Ä¤ñ²v |
£mc | ²V¾®¤gÀ£À³¤O |
£mc(x) | ©óºI±x ¤§²V¾®¤gÀ£À³¤O |
£mcp,ef | ²V¾®¤g¦³®Ä¥§¡À³¤O |
£mc,g(x) | ©óºI±x ¤W¥Ñ¥Ã¤[§@¥Î©Ò²£¥Í¦b²V¾®¤g¤§À³¤O |
£mc,max | ²V¾®¤g³Ì¤jÀ£À³¤O |
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B15, B20, ... | ²V¾®¤gµ¥¯Åªí¥Ü |
FIP | Fédération Internationale de la Précontrainte. |
ISO | International Organization for Standardization. |
CEB | Comité Euro-international du Béton. |
LNEC | ¸²°ê°ê¥ß¤g¤ì¤uµ{¹êÅç«Ç |
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NB | ²V¾®¤g¼Ð·Ç |
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RILEM | Réunion Internationale des Laboratoires d'Essais et de Recherches sur les Matériaux et les Constructions. |
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CRF60 | 10 | b a |
12 4.0 |
b a |
16 3.5 |
20 3.0 |
≥30 2.5 |
CRF90 | 10 | b a |
1.5 5.5 |
b a |
20 4.5 |
24 4.0 |
≥40 3.5 |
CRF120 | 12 | b a |
20 6.5 |
b a |
24 5.5 |
30 5.0 |
≥50 4.5 |
CRF180 | 14 | b a |
24 8.0 |
b a |
30 7.0 |
40 6.5 |
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CRF240 | 16 | b a |
28 9.0 |
b a |
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CRF 120 | b ≥22 cm |
CRF 180 | b ≥40 cm |
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b a |
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CRF 90 | 10 | b a |
15 3.5 |
b a |
≥25 2.5 |
CRF 120 | 12 | b a |
20 4.5 |
b a |
≥30 3.5 |
CRF 180 | 14 | b a |
24 5.0 |
b a |
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CRF 240 | 16 | b a |
28 6.0 |
b a |
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CRF 60 | 8 | 2.5 | 1.0 | 2.5 | 1.0 |
CRF 90 | 10 | 3.5 | 1.5 | 3.5 | 1.5 |
CRF 120 | 12 | 4.5 | 2.0 | 4.5 | 2.0 |
CRF 180 | 15 | 6.0 | 3.0 | 6.0 | 3.0 |
CRF 240 | 18 | 7.0 | 4.0 | 7.0 | 4.0 |
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§Ü¤õ¯à¤O¯Å§O | ªOÁl³Ì¤p«p«× h È (cm) |
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CRF 60 | 8 | b a |
9 3.0 |
b a |
8 2.5 |
CRF 90 | 10 | b a |
11 4.0 |
b a |
9 3.0 |
CRF 120 | 12 | b a |
13 5.5 |
b a |
11 4.5 |
CRF 180 | 14 | b a |
15 6.5 |
b a |
13 5.5 |
CRF 240 | 15 | b a |
18 7.5 |
b a |
15 6.5 |
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§Ü¤õ¯à¤O¯Å§O | ¥þ³¡¥|±¨ü¿N¤§¬W | ³æ¤@±¨ü¿N¤§¬W | ||||
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a È (cm) |
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b È (cm) |
||||
CRF 60 | b a |
20 3.0 |
b a |
≥24 2.5 |
b a |
12 2.5 |
CRF 90 | b a |
24 4.5 |
b a |
≥30 3.5 |
b a |
14 3.5 |
CRF 120 | b a |
30 5.5 |
b a |
≥40 4.5 |
b a |
16 4.5 |
CRF 180 | b a |
40 7.0 |
b a |
≥50 6.0 |
b a |
20 6.0 |
CRF 240 | b a |
45 8.0 |
b a |
- | b a |
24 7.0 |
ª`·N¡G·í¬W¥þ³¡±¨ü¿N®É¡Ab«ü¨ä¾îºI±¤§µuÃä¡F·í¬W³æ±¨ü¿N®É¡Ab«h«ü¨ü¿N±¤§¼e«×¡C
¤»¡BùÙ
¤»¡D¤@¡B«D¨ü¤OùÙ
¥»¸`©Ò³B²z¤§Àð«Y«ü°ò¥»¤W¥Î§@¹jÂ÷¥\¯à¤§¹ê¤ßùÙ¡]°tµ¬©Î¨S°tµ¬¡^¡AÁöµM¥ç¥i¯à»P¨ä¥¦©è§Üºc¥ó¤@°_¹B§@¡C
¸ÓÃþùÙ¤§§Ü¤õ¯à¤On¨D²²¤¬°¨ä¥\¯à¤§³W©w¡]¤õµK±K«Ê©Ê¤Îµ´¼ö©Ê¡^¡A¥Dn¥i¥H¨ä«p«×¨Óº¡¨¬n¨D¡Cªí¤G¤Q¤T©Ò¸ü¬°«ö§Ü¤õ¯à¤O¯Å§O©Ò»Ý¤§³Ì¤p«p«×¡C
§Ü¤õ¯à¤O¯Å§O | ùÙ«p |
CRF 60 | 8 |
CRF 90 | 10 |
CRF 120 | 12 |
CRF 180 | 15 |
CRF 240 | 18 |
¤»¡D¤G¡Bµ²ºcÀð
¦b©Ò¦³±¡ªp¤U¡Aµ²ºcùÙ¦b¨ü¿N®Én½T«Oéw©Ê¡A¦P®É¦³¹jÂ÷¥\¯à©Ò¬ÛÀ³¤§¤õµK±K«Ê©Ê¤Îµ´¼ö©Ê¡C
ªí¤G¤Q¥|©Ò¥Ü¤§³W©w¾A¥Î©ó¿í·Ó¥H¤U±ø¥ó¤§ùÙ¡G
§Ü¤õ¯à¤O¯Å§O | «öùٳ̤jÀ³¤O £m cmax ©Ò±o¤§³Ì¤p e È¡]ùÙ«p¡^¤Î¬Û¹ï¤§³Ì¤p a È | |||
£m cmax < 0.15 fck | 0.15 fck ≤ £m cmax < 0.30 fck | |||
CRF 60 | e a |
12 1.5 |
e a |
14 2.5 |
CRF 90 | e a |
14 2.5 |
e a |
17 3.5 |
CRF 120 | e a |
16 3.5 |
e a |
22 4.5 |
CRF 180 | e a |
20 5.5 |
e a |
30 6.5 |
CRF 240 | e a |
24 7.5 |
e a |
40 8.5 |
¤C¡B©Ô±ì
n½T©w¥Dn¨ü©Ôºc¥ó¤§§Ü¤õ¯à¤O¡A¨ä¾îºI±¤Ø¤o¤Î°tµ¬«OÅ@¼h«p«×À³¿í¦uªí¤G¤Q¤©Ò¥Ü¤§±ø¥ó¡A¸Óªí«Y¬Û¹ï¥þ³¡±¨ü¿N¤§±¡ªp¡C
§Ü¤õ¯à¤O¯Å§O | ¬Û¹ï³Ì¤p a Ȥ§³Ì¤p b È (cm) | «ö b È©Ò±o¤§³Ì¤p a È(cm) | ||
CRF 60 | b a |
12 5.0 |
b a |
≥30 3.5 |
CRF 90 | b a |
15 6.5 |
b a |
≥40 4.5 |
CRF 120 | b a |
20 7.5 |
b a |
≥50 5.5 |
CRF 180 | b a |
24 9.0 |
b a |
≥60 7.0 |
CRF 240 | b a |
28 10.0 |
b a |
≥70 8.0 |
ª`·N¡GbÈ«ü©Ô±ì¾îºI±¤§µuÃä
·í¦Ò¼{¥Î°ª·Å¦Ó¾ÉP©Ô±ìÅܧήɡA¸Ó¼Wªø¥i¯à¥Oµ²ºc¥\¯à¨ü·l¡AÀ³¦Ò¼{¿ûµ¬¼u©Ê¼Ò¶q¤Î¼ö¿±º¦¨t¼ÆÀH·Å«×¤§ÅܤơC
¤@¡B³Ì¤j¤§ì©l¹wÀ³¤OÈ
³Ì¤j¤§ì©l¹wÀ³¤OÈ Po¡¦¡A¥H¬Û¹ï¤§¿ûµ¬À³¤Oªí¥Ü®É¡AÀ³¤£¤j©ó0.75¼¥H¼Ð·Ç±j«× fpuk¡A¥ç¤£¤j©ó0.85¼¥H³W©w«D¤ñ¨Ò¦ùªøÀ³¤O0.1%¤§¼Ð·ÇÈfp 0.1k¡A©Î
¤G¡Bªu¿ûµ¬¼¯À¿¤O©Ò²£¥Í¤§Àþ®É·l¥¢
¦b«á±iªk²V¾®¤gºc¥ó¤W¬I¥[¹wÀ³¤O®É¡Aªu¿ûµ¬¼¯À¿¤O©Ò²£¥Í¤§À³¤O·l¥¢ Δσpo,fr (x)¡A¥i±Ä¥Î¤U¦C¤½¦¡pºâ¡G
Δσpo,fr(x) = £mpo¡¦(1 - e-µ(£] + kx))
¦¹³B¡G
x ±q¬I¥[¹wÀ³¤O¿ûµ¬¤@ºÝ°_pºâ¤§ºI±¶ZÂ÷¡F·í¹wÀ³¤O±q¨âºÝ¬I¥[®É¡Ax ¶ZÂ÷¥Ñ¹wÀ³¤O¸û¤j¤§¤@ºÝ¤§ºI ±°_pºâ¡F
σPo¡¦ ì©l¹wÀ³¤OPo¡¦¤§©ÔÀ³¤O¡]¥¿È¡^¡F
μ¹wÀ³¤O¿ûµ¬»P®MºÞ¤§¼¯À¿¨t¼Æ¡F
β¦b¶ZÂ÷x¹wÀ³¤O¿ûµ¬¦±½u¨¤°¾¦ìÁ`©M¤§µ´¹ïÈ¡]¥H©·«×pºâ¡^¡F
k ¨C³æ¦ìªø«×¤§«D¯S·N¨¤°¾¦ì¡C
μ¤ÎkÈ°ò¥»¤Wµø¥Gªí±±µÄ²¤§¯S¼x¤Î©Ò¹J¤W¤§±¡ªp¡]¨Ò¦p¨Ï¥Î¼í·Æ³]¬I¡^¡A©T¦¹À³¨C¤@Ãþ¤§¿ûµ¬¤Î®MºÞ©Ò¥Î¤§È«Y¥Ñ¹êÅçµ²ªG¨M©w¡C
³q±`¥ý±iªk²V¾®¤gºc¥ó¤£¥Î¦Ò¼{¼¯À¿·l¥¢¡CÕY·í¬I¥[À³¤O³]³Æ¤§¶¡¤§¿ûµ¬¨Ã«D¦Û¥Ñ¹B§@¡A¦Ó«Y¨ü¥ô¦ó§Î¦¡§ô¿£®É¡A¦b¦Ò¼{¸Ó±¡ªp¡A¨äÀ³¤O·l¥¢¶·¸g¥Ñ¹êÅç¦Ó¨M©w¡C
·íµL¥ô¦ó¹êÅçµ²ªG¨Ó¤ä«ùk¤Îμ値®É¡Ak±o±Ä¥Î¨C³æ¦ìªø«× 0.01/¨C¦Ì¦Óμ«h¥i±Ä¥Î¤U¦C¼ÆÈ¡G
¹w®I¤£³]«OÅ@¼hºÞ¿ûµ¬ | μ= 0.50 |
¹w®I¿ûºÞ¥Ñ¿ûµ·©Î¿ûµ±½u²Õ¦¨¤§§ôµ¬ | μ= 0.30 |
¹w®I¿ûºÞ¤§¿W¥ß¿ûµ·©Î¿ûµ±½u | μ= 0.25 |
¸Óµ¥£gÈ°²³]¤£¥Î¼í·Æ³]¬I¤Î·í¥Î¥¼µ¬®É¡A©Ò¦³½u©Îµ·À³¦P®É¨ü©Ô¡F±Ä¥Î¼í·Æ³]¬I®É¡A¤¹³\¦Ò¼{¸û§C¤§È¡A¦ÓY§ôµ¬¤§µ·©Îµ±½u¨Ã«D¦P®É¨ü©Ô®É¡AÀ³¨ú¥Î§ó°ª¤§È¡Ckȵø¥G®MºÞ¤§°¾²¾¡A¦]¦¹»P®MºÞ¤§è«×¤Î¨ä©ñ¦ì¤§§¹µ½©Ê¦³Ãö¡C
³Ì«áª`·N·íμ(β+ kx) < 0.20¡A²Ä¤G¡D¤@¸`©Ò§e¤§¤½¦¡¥i¥Î¥H¤U¥N´À¡G
Δσpo,fr(x) = £mpo¡¦ [µ(ß+kx)]
¤T¡B¦]²V¾®¤gÅܧΦӲ£¥Í¤§Àþ®É·l¥¢
¥ý±iªk²V¾®¤gºc¥ó¦]²V¾®¤gÅܧΦӲ£¥Í¤§À³¤O·l¥¢Δσpo,e (x)±o¥H¤U¦C¤½¦¡pºâ¡G
Δσpo,e (x) = - |
Ep
|
£mc (x) |
Ec,j |
¦¹³B¡G
Ep ¹wÀ³¤O¿ûµ¬¤§¼u©Ê¼Ò¶q¡F
Ec,j ¨ü¬I¥[§@¥Î¡]¹wÀ³¤O©Î¨ä¥L¥Ã¤[§@¥Î¡^¤U²V¾®¤g¦b¸ÓÄÖ´Á¤§¼u©Ê¼Ò¶q¡F
σc (x) ¥Ñ¬I¥[¹wÀ³¤O¤Î¨ä¥L¥~¥[¥Ã¤[§@¥Î©Ò²£¥Í¦bºI±x¤§²V¾®¤gÀ£À³¤O¡]tÈ¡^¡Apºâ¦ì¸m¬°¹wÀ³¤Oµ¬¤§¤O¾Ç¤¤¤ß¡C
«á±iªk²V¾®¤g©Ò¦Ò¼{¤§¸ÓÃþ·l¥¢«Y²z·|¨ì¨C¤@¿ûµ¬¦b¬I¥[¹wÀ³¤O¤§®ÄÀ³Å|¥[¦b¾Fªñè¨ü¹w©Ô¤§¿ûµ¬©Ò¤Þ°_¤§®ÄÀ³¡C
¤@²¤Æ¤è¦¡¤Î·í¿ûµ¬«Y¬Û¦P¤Î¦ì©ó¬Û¹ï¦a¤¬¬Û±µªñ®É¡A¥»±ø©Ò«ü¤§·l¥¢±o¥H¤@¼vÅT¨C¤@¿ûµ¬¤§¥§¡·l¥¢§@¦ôºâ¦p¤U¡G
Δσpo,e (x) = | - |
1
|
n - 1
|
Ep
|
£mc (x) |
2 | n | Ec,j |
n «ü¹wÀ³¤O¿ûµ¬¼Æ¥Ø¦Óσc (x)«h«üÁ`¹wÀ³¤O¡C
¥|¡BÁã©T³]¬I¤§Àþ®É·l¥¢
¦]¿ûµ¬Áã©T³]¬I·Æ°Ê¤Î¨äÅܧΩΦ첾©Ò¾ÉP¤§À³¤O·l¥¢À³¾A·í¦a¹ï¦³Ãö¤§¹wÀ³¤O¨t²Î¥H¹êÅçµ²ªG§@¦Ò¼{¡C
¥ý±iªkºc¥ó¤W©Ò¦Ò¼{¤§¸ÓÃþ·l¥¢«Y¥Ñ¿ûµ¬¹ï¨ä¦b¥Í²£Âi¤WÁã©T¤§·Æ°Ê©Ò±o¡C
ª`·N¦b«á±iªkºc¥ó¤W¸ÓÀ³¤O·l¥¢¦b¿ûµ¬ºÝ«Y³Ì¤j¡A¦]¼¯À¿¤O¦Ó¦bºc¥ó¤º´î¤Ö¡A¥i¥H±qºÝ³¡°_¤§¤@¬q¶ZÂ÷«á¸Ó·l¥¢®ø°£¡C
¤¡B¨ä¥L¹wÀ³¤OÀþ®É·l¥Ú
°£«e´X±ø©Ò´£¤Î¤§·l¥¢¥~¡A¥çÀ³¦Ò¼{¦]¯S§O¬I¤u¤èªk®É©Ò¤Þµo¤§Àþ®É·l¥¢¤§¥i¯à©Ê¡C
¯S§O¦b¥ý±iªkºc¥ó¤W¡AÀ³¦Ò¼{Àþ®É·l¥¢¬°¿ûµ¬©ñÃP«e¥»¨©Ô¤O¤§ÃP¦¢©Ò¾ÉP¤§À³¤O·l¥¢¡A¨ä®ÄÀ³¥Î¦b±q©ñÃP«á§Y®É²V¾®¤g¤§¾®©Tª¬ºA¤W¡C
¤»¡B°_©l¹wÀ³¤O
σpo (x)¦bºI±x¤W¹wÀ³¤Oµ¬¤§À³¤O«Y±qì©l¹wÀ³¤OσPo¡¦´î¥h²Ä¤G¦Ü²Ä¤ÂI©Ò«ü¤§¦UºØÀþ®É·l¥¢¤§Á`©M£UΔσpo,i (x)¡C¦]¦¹¡G
£mpo (x) = £mpo¡¦ - £UΔσpo,i (x)
¤C¡B²V¾®¤g¦¬ÁY»PįÅܤοûµ¬ÃP¦¢©Ò¤Þµo¤§©µ®É·l¥¢
²V¾®¤g¦¬ÁY»PįÅܤοûµ¬ÃP¦¢©Ò¤Þµo¤§À³¤O·l¥¢Δσpt,s+c+r (x)¡AÀ³±q¨äÀH®É¶¡¤§¶i¤Æ²{¶H¤Î¦Ò¼{¨ì¥»¨¤¬¬Û§@¥Î¤§¨¬°÷¤èªk¨Ó¨M©w¡C
³q±`¤Î·í¹wÀ³¤O¿ûµ¬¤§¶¡¶ZÂ÷«Üªñ¦Ó¥B¥i¥Î³æ¤@¿ûµ¬§@¼ÒÀÀ®É¡A©Òz¤§·l¥¢¥i¥Î¥H¤U¤½¦¡ªí¥Ü¤§¨¬°÷ªñ¦üȤèªk¡G
Δσpt,s+c+r (x) = |
|
εcs(t, t0)Ep + a £pc (t, t0)
[£mc,g (x) + £mc,po (x)] - Δσp,t-to,r (x)
|
|||||||
¡@ | ¡@ | 1 - £\ |
£mc,po (x)
|
[ | 1 + |
£pc (t, t0)
|
] | ¡@ | |
¡@ | ¡@ | £mpo (x) | 2 |
¦¹³B¡G
t0 | ²V¾®¤g¦b¬I¥[¹wÀ³¤O®É¤§ÄÖ´Á¡F |
t | ²V¾®¤g¦bpºâ·l¥¢®É¤§ÄÖ´Á¡F |
εcs(t, t0) | ¥Ñt0¦Üt¤§¶¡²V¾®¤g¦Û¥Ñ¦¬ÁY©Ò²£¥Í¤§À³ÅÜ¡]ÁYµu¬°tÈ¡^¡F |
Ep | ¹wÀ³¤O¿ûµ¬¤§¼u©Ê¼Ò¶q¡F |
α | ¿ûµ¬»P²V¾®¤g¤§¦P½è©Ê¨t¼Æ¡A²V¾®¤g¼u©Ê¼Ò¶qÈ«ö²Ä¤T¤Q±ø¨ú¥Î¡F |
φc(t, t0) | tÄÖ´Á¤§Ä¯Åܨt¼Æ¡A¬Û¹ï¦bt0ÄÖ´Á®É¬I¥[À³¤O¡F |
σc,g (x), σc,po (x) | ¤À§O«ü¦bºI±x¹wÀ³¤O¿ûµ¬¤ô¥¦ì¸m¤W¦]¥Ã¤[§@¥Î¡]¤£¥]¬A¹wÀ³¤O¡^¤Î°_©l¹wÀ³¤O©Ò²£¥Í¤§²V¾®¤gÀ³¤O¡]¨üÀ£¬°t¡^¡F |
σpo (x) | ¦]°_©l¹wÀ³¤O¦bºI±x©Ò²£¥Í¦b¹wÀ³¤O¿ûµ¬¤W¤§À³¤O¡]¥¿È¡^¡F |
Δσp,t-to,r (x) | ºI±x¹wÀ³¤O¿ûµ¬±qt0¦Üt¦]ÃP¦¢©Ò¤Þ°_¤§À³¤O·l¥¢¡A¥Ñ¤@°_©lÀ³¤O¡A¥i«ö¥H¤Upºâ¡G |
σpo+g(x) «üt0ÄÖ´Á®É°_©l¹wÀ³¤O¤Î¨ä¥L¥Ã¤[§@¥Î©Ò²£¥Í¦b¿ûµ¬¤W¤§À³¤O¡C
²V¾®¤g¤§Ä¯ÅܤΦ¬ÁYÀ³¿í·Ó²Ä¤T¤Q¤@±ø©Ò¥Ü¡F¦³Ãö¿ûµ¬ÃP¦¢¤§©wÈ«hÀ³«ö²Ä¥|¤Q¤@±ø¶i¦æ¡C
¦b¥»±ø³B²z¹wÀ³¤O·l¥¢©wÈ¥i¥Ñ¦U°Ñ·Ó¦]¼Æ¦P®É¤¶¤J¤§§@¥Î²£¥Í¡A¦]¦¹¦³¤¬¨Ì¤§®ÄÀ³¡C°ÝÃD¤§¸Ñ¨M¥»¨«Y¬Û·í½ÆÂø¡A¼vÅT²{¶H¤§¦hӰѼÆn·Ç½T©wȳq±`«Y¤Q¤À§xÃø¡A´¶³q²Mªp¥i±µ¯Ç¹ï°ÝÃD¨ú¥Î¥»±ø©Ò«ü¥Ü¤§ªñ¦üȸѵª¡C
¦P®Én´£¤Î°£°_©l¹wÀ³¤O¥~¡A¸g±`¥u·P¿³½ì¹ï³Ì²×¹wÀ³¤O§@¤F¸Ñ¡A¬°¦¹¬é»Ýpºâ¦bµL®É¶¡¤U¤§©µ®É·l¥¢¡A¥i¥Î¤U¦C¤w³Q±µ¯Ç¤§ªñ¦üȤèªk¨Ópºâ¡G
Δσp¡Û,s+c+r (x) = Δσp¡Û,s+c (x) + Δσp¡Û,r (x) | [ | 1 - |
2 Δσp¡Û,s+c (x)
|
] |
£mpo (x) |
¦¹³B¡G
Δσp¡Û,s+c (x) = - εcs (t¡Û, t0)Ep - £\£pc (t¡Û, t0) [£mc,g (x) + £mc,p¡Û (x)]
¤K¡B³Ì²×¹wÀ³¤O
ºI±x¹wÀ³¤O¿ûµ¬¥Ñ³Ì²×¹wÀ³¤Oσp∞ (x)©Ò²£¥Í¤§À³¤O¥Ñ°_©l¹wÀ³¤O σpo (x)¦©°£«ö²Ä¤CÂIpºâµL®É¶¡¤U¤§©µ®É·l¥¢¡A¦]¦¹¡G
¤E¡B²V¾®¤g¤W¤§¹wÀ³¤O¶Ç°e
¹wÀ³¤O¦b²V¾®¤g¤Þ°_¤§À³¤O¥u¥i¥H±q¸Ó¿ûµ¬ºÝ«á¤§¤@¬q¶ZÂ÷¶}©l³]©w¬°½u©Ê§G©óºc¥ó¾îºI±¤W¡A¸Ó¶ZÂ÷¡]½Õ¾ã¶ZÂ÷¡^«ö¥H¤U´XÂI³W©w¡C
¥Î«á±iªkºc¥ó¡A©Ò«ü¤§À³¤O½Õ¾ã¶ZÂ÷¥i±q¹wÀ³¤O¤§¤¹³\ÂX´²½d³ò¨Ó¨M©w¡A¥ÑÁã©T¾¹¶}©l¡A¦Vºc¥ó¤º¥H¤@ tg β= 2/3 ¤§ ⨤ÂX´²¶}¥h¡]¹Ï¤G¤Q¤C¡^¡A·í¥Ñ¼Ù¸¡ÂX¦Ü¼ÙÁl¤§¤¤¶¡¥±®É¡A¥i¤¹³\¥H§¹¥þ¬Û¦P¤§¤è¦¡ªu¸Ó¥±¦AÂX´²¡C
¥Î¥ý±iªkºc¥ó¡A½Õ¾ã¶ZÂ÷ lp À³±q¥H¤U¤½¦¡Àò¨ú¡G
¦¹³B¡G
lbp ¹wÀ³¤O¿ûµ¬¤§Áã©Tªø«×¡F
a ¹wÀ³¤O¿ûµ¬«¤ß»P³Ì»·¤§·¥ºÝÅÖºû¤§¶ZÂ÷¡C
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