full2010.pdf - page 238

200
°´˜¦µÁ¦Èª °Š°œ»£µ‡ °Š˜´ª„¨µŠŽ¹ÉŠ‡¨ºÉœÁ‡¨ºÉ°œš¸É Ÿnµœ ˜µ¤¤„µ¦š¸É 2 ‹³Å—o
u y
t
w
w kvA k x vtcos ( ) (4)
¨³Å—o‡ªµ¤Á¦nŠ °Š°œ»£µ‡ °Š˜´ ª„¨µŠŽ¹ÉŠ‡¨ºÉœÁ‡¨ºÉ°œš¸ÉŸnµœ
a y
t
w
w
2
2 k v A k x vt2 2 sin ( ) (5)
¤„µ¦„µ¦Á‡¨ºÉ°œš¸É°Š‡¨ºÉœÁ¦¸¥„´ÊœÇ ªnµ¤„µ¦‡¨ºÉœ (Wave equation)
w
w
w
w
2
2
2
2
2
y
t v y
x (6)
°´˜¦µÁ¦Èª °Š‡¨ºÉœš¸ÉŸ·ª °ŠÁ®¨ª Á ¸¥œÄœÁš°¤ °Š‡ªµ¤¥µª‡¨ºÉœ Oŗo —´Šœ¸Ê
v g h
2
2
2 2 §
©¨
·
¹¸ O
S
SJ
UO
S
O tanh (7)
„¦–¸‡¨ºÉœ¤¸ ‡ªµ¤¥µª‡¨ºÉœ O¤µ„ (‡ªµ¤™¸Éœo°¥) ¤„µ¦ oµŠœ‹³¤¸‡nµÃ—¥ž¦³¤µ–Áž} œ
O
S
S
O h g v 2.
2
| | gh (8)
„ε¨´ŠÁŒ¨¸É¥ °Š‡¨ºÉœ˜µ¤ ªµŠ¦¼žÅŽœrš¸ÉŸnµœ˜´ª„¨µŠ¤¸ ‡nµ˜µ¤¤„µ¦
vA P P Z 2 2
2
1
(9)
×¥š¸Éž¦·¤µ– P ‡º°¡¨´ŠŠµœš¸ÉŸnµœ‹» —˜¦¹Š˜·— x Ä—Ç ÄœÂ˜n¨³‡µœ´Êœ
‹µ„¤„µ¦ (9) „ε¨´ŠÁŒ¨¸É¥ °Š‡¨ºÉœ˜µ¤ ªµŠ ¹Êœ„´Â°¤¡¨·‹¼ — čo 宦´Áž}œÂ®¨nŠ¡¨´ ŠŠµœžj°œÁ oµ¦³Á¡ºÉ°Áž¨¸É¥œ
¦¼ž‹µ„¡¨´ŠŠµœ‡¨ºÉœÁž}œ¡¨´ ŠŠµœÅ¢¢jµ —oª¥°»ž„¦–rŽ¹ÉŠ‡–³Ÿ¼oª·‹´¥Å—o°°„Â¨³¡´•œµŽ¹ÉŠÂ—ŠÄœ®´ª o °™´—Åž
£µ¡š¸É 1 ǦŠ¦o µŠ¦³˜oœÂŸ¨·˜¡¨´ŠŠµœÅ¢¢jµ‹µ„‡¨ºÉœœÊ嚳Á¨
„µ¦°°„Â¨³¦oµŠ
1. ǦŠ¦oµŠ °Š¦³šµŠ„¨
¦³Ÿ¨·˜¡¨´ŠŠµœÅ¢¢j µ‹µ„‡¨ºÉœš³Á¨˜o œÂš¸É ¦oµŠ ¹Êœ¤¸ ž{ ‹‹´¥š¸ÉÁž}œÁŠºÉ°œÅ Î µ®¦´„µ¦°°„ ‡º°
¦³µ¤µ¦™šÎµŠµœÅ—o Á¤ºÉ°‡¨ºÉœš³Á¨¤¸ °¤¡¨·‹¼—˜ÉÎ µ ¦³˜o°Š¤¸‡ªµ¤Ž´ Žo°œœo°¥Šn µ¥˜n°„µ¦Žn°¤Îµ¦»Š µ¤µ¦™
˜·—˜´Ê ŠÂ¨³™°—Á„ȝŗoŠnµ¥Á¡ºÉ°®¨¸„Á¨¸É¥Š‡ªµ¤Á¸¥®µ¥‹µ„„¦–¸Á„·—‡¨ºÉœš³Á¨ œµ—Ä®n š¸É¤¸ °¤¡¨·‹¼—¼Š ¦µ‡µ˜oœš»œ