רÀûÃû³Æ£ºÁ¦¼°Î»ÒÆÁ¿µÄÆø¸¡Ê½²âÁ¿ÏµÍ³µÄÖÆ×÷·½·¨
¼¼ÊõÁìÓò£º
±¾ÊµÓÃÐÂÐÍÉæ¼°Ò»ÖÖÁ¦¼°Î»ÒÆÁ¿µÄ²âÁ¿ÏµÍ³¡£
±³¾°¼¼Êõ£º
Ŀǰ£¬Æø¸¡¼¼ÊõµÄÓ¦ÓÃÖ÷ÒªÔÚÆøÌåÖá³ÐÖУ¬ÆøÌåÖá³Ð×÷ÎªÆø¸¡ÏµÍ³"³ÐÔØ"¹¦ÄܵÄÓ¦Óà ȡµÃÁ˼«´óµÄ³É¹¦¡£µ«ÊÇ£¬ÆøÌåÖá³ÐÖ»ÄÜÓÃÓÚ³ÐÊÜÔØºÉ£¬¶ø²»ÄܲâÁ¿¸¡¶¯ÌåËùÊÜÔØºÉµÄ´óС ÒÔ¼°¸¡¶¯ÌåµÄÎ»ÒÆÁ¿¡£
ÏÖÓеIJâÁ¦·½Ê½°üÀ¨Ó¦±äƬʽ¡¢Ñ¹µçÔª¼þʽ¡¢²î¶¯±äѹÆ÷ʽ¡¢µçÈÝÎ»ÒÆÊ½µÈ¡£µ«ÊǶÔÓÚ
¶àάÁ¦µÄ²âÁ¿£¬´ËÀà²âÁ¿·½·¨²»¿É±ÜÃâµØ´æÔÚÓÐά¼äñîºÏ£¬½âñîÉèÖò»½ö½á¹¹¸´ÔÓ£¬¶øÇÒÎÞ
·¨ÊµÏÖÍêÈ«µÄ½â꣬¸÷ÖÖ½âñî·½·¨¶¼Ö»ÊÇÔÚÒ»¶¨¾«¶ÈÉϼõÉÙñîºÏµÄÓ°Ïì¡£ Æù½ñΪֹ£¬ÀûÓÃÆøÁ¦¸¡¶¯ÊµÏÖÁ¦¼°Î»ÒÆÁ¿µÄ²âÁ¿»¹Ã»ÓÐÏà¹Ø±¨µ¼¡£
ʵÓÃÐÂÐÍÄÚÈÝ
±¾ÊµÓÃÐÂÐÍÊÇΪ±ÜÃâÉÏÊöÏÖÓм¼ÊõËù´æÔڵIJ»×ãÖ®´¦£¬ÌṩһÖÖÄÜÓÐЧ±ÜÃâ¶àάÁ¦×÷Óà ʱµÄά¼äñîºÏ¡¢×¼È·ÊµÊ©¶àάÁ¦²âÁ¿£¬Äܹ»Ê¹ÆøÌåÖá³Ðͬʱ×÷ΪÁ¦¼°Î»ÒÆÁ¿´«¸ÐÆ÷µÄÁ¦¼°Î» ÒÆÁ¿µÄÆø¸¡Ê½²âÁ¿ÏµÍ³¡£
±¾ÊµÓÃÐÂÐͽâ¾ö¼¼ÊõÎÊÌâ²ÉÓÃÈçϼ¼Êõ·½°¸
±¾ÊµÓÃÐÂÐÍÁ¦¼°Î»ÒÆÁ¿µÄÆø¸¡Ê½²âÁ¿ÏµÍ³µÄ½á¹¹ÌصãÊÇÉèÖø¡¶¯Ì壬²¢ÉèÖÃÒÔÆøÁ÷Ö§³Å ¸¡¶¯ÌåµÄÆø¸¡ÏµÍ³£¬Æø¸¡ÏµÍ³ÊÇÓÉÓëÆøÔ´ÏàͨµÄ½ÚÁ÷Æ÷¼þÓ븡¶¯ÌåµÄ±íÃæÐγɳÐѹǻ£¬ÔÚ½Ú Á÷Æ÷¼þµÄβ²¿ÉèÖòâѹǻ£»ÒÔ³Ðѹǻ»ò²âѹǻµÄѹÁ¦ÐźÅΪ¼ì²âÊä³öÐźţ¬»òÒÔ½ÚÁ÷Æ÷¼þµÄ Á÷Á¿»òÁ÷ËÙÐźÅΪ¼ì²âÊä³öÐźš£
±¾ÊµÓÃÐÂÐÍͨ¹ý²âÁ¿Æø¸¡ÏµÍ³ÖÐµÄÆøÌåѹÁ¦¡¢Á÷Á¿»òÁ÷ËÙÐźŻñµÃ×÷ÓÃÔÚ¸¡¶¯ÌåÉϵÄÍâ Á¦»òÔÚËùÊöÍâÁ¦×÷ÓÃϵĸ¡¶¯ÌåµÄÎ»ÒÆÁ¿£¬Æø¸¡ÏµÍ³ÖеÄѹÁ¦¡¢Á÷Á¿¼°Á÷ËÙÓë×÷ÓÃÓÚ¸¡¶¯Ìå Éϵı»²âÍâÁ¦»òÔÚÍâÁ¦×÷ÓÃϵĸ¡¶¯ÌåµÄÎ»ÒÆÁ¿Ö®¼äÒ»Ò»¶ÔÓ¦µÄ¹ØÏµÍ¨¹ýʵÑé±ê¶¨µÄ·½·¨ ½øÐÐÈ·¶¨¡£
ÓëÒÑÓм¼ÊõÏà±È£¬±¾ÊµÓÃÐÂÐ͵ÄÓÐÒæÐ§¹ûÌåÏÖÔÚ
1¡¢ ±¾ÊµÓÃÐÂÐÍΪ·Ç½Ó´¥²âÁ¿ÏµÍ³£¬ÄÜÓÐЧ±ÜÃâ¶àάÁ¦×÷ÓÃʱά¼äñîºÏ´øÀ´µÄÎó²î£¬Ìá ¸ß²âÁ¿¾«¶È£¬×¼È·ÊµÊ©Ò»Î¬Á¦²âÁ¿¡£
2¡¢ ±¾ÊµÓÃÐÂÐÍ¿ÉÒÔÓ¦ÓÃÓÚÆøÌåÖá³Ð£¬Ê¹ÆøÌåÖá³Ð²»µ«ÄܳÐÊÜÔØºÉ£¬¶øÇÒ¿Éʵʱ×ÔÖ÷¼ì ²â¸ºÔصĴóС¡¢Î»ÒƺÍÕñ¶¯Çé¿ö£¬Ê¹µÃÆøÌåÖá³Ð¼æÓÐÁ¦¼°Î»ÒÆÁ¿´«¸ÐÆ÷µÄ¹¦ÄÜ¡£
3¡¢ ±¾ÊµÓÃÐÂÐÍ¿ÉÒԵõ½¹ã·ºÓ¦Ó㬰üÀ¨Í¨¹ý¶ÔÆøÌåÖá³Ð×ÔÉí¹¤×÷ÔËתÇé¿öµÄʵʱ¼à²â£¬¼°Ê±·¢ÏÖ¹ÊÕϺÍÒþ»¼£»ÔÚ¾«ÃÜÇÐÏ÷¼Ó¹¤Éú²úÖУ¬¿ÉÒÔͨ¹ýÆø¸¡Ö÷Öá»òÆø¸¡µ¼¹ìʵʱ¼ì²âÇÐÏ÷ Á¦µÄ±ä»¯£¬´Ó¶ø¶Ôµ¶¾ß¹¤¿ö½øÐÐʵʱ¼à²â¡£
ͼ1Ϊ±¾ÊµÓÃÐÂÐ;ßÌåʵʩ·½Ê½
ÔÀíʾÒâͼ¡£
ͼ2Ϊͼ1Ëùʾ¾ßÌåʵʩ·½Ê½
Á¢Ãæ½á¹¹Ê¾Òâͼ¡£
ͼ3Ϊͼ1Ëùʾ¾ßÌåʵʩ·½Ê½
Æ½Ãæ½á¹¹Ê¾Òâͼ¡£
ͼ4Ϊͼ1Ëùʾ¾ßÌåʵʩ·½Ê½
ÖÐÅç×ìµµ°åÔÀíʾÒâͼ¡£
ͼ5Ϊ±¾ÊµÓÃÐÂÐÍÆø¸¡²âÁ¿ÔÀíͼ¡£
ͼl¡¢Í¼2¡¢Í¼3¼°Í¼4ÖеıêºÅl¾ØÐθ¡°å¡¢la¸¡°å¶¥Ãæ¡¢lb¸¡°åµ×Ãæ¡¢lc¸¡°å×ó Ãæ¡¢ld¸¡°åÓÒÃæ¡¢le¸¡°åǰ²à¡¢lf¸¡°åºó²à¡¢2a¶¥ÃæÅç×ì¡¢2bµ×ÃæÅç×ì¡¢2c×ó²àÅç×ì¡¢2d ÓÒ²àÅç×ì¡¢2eǰ²àÅç×ì¡¢2fºó²àÅç×ì¡¢3¹¤×÷̨¡¢4Åç×ìÖ§¼Ü¡¢5½øÆø¿Ú¡¢ 6³Ðѹǻ¡¢7²âѹ ¿Ú¡¢ 51¸¡¶¯Ìå¡¢52½ÚÁ÷Æ÷¼þ¡¢53³Ðѹǻ¡¢54²âѹǻ¡£
ÒÔÏÂͨ¹ý¾ßÌåʵʩ·½Ê½
£¬½áºÏ¸½Í¼¶Ô±¾ÊµÓÃÐÂÐÍ×÷½øÒ»²½ËµÃ÷¡£
¾ßÌåʵʩ·½Ê½
²Î¼ûͼ5£¬ÉèÖø¡¶¯Ìå51Ϊ¸¡°å£¬²¢ÉèÖÃÒÔÆøÁ÷Ö§³Å¸¡°åµÄÆø¸¡ÏµÍ³£¬Æø¸¡ÏµÍ³ÊÇÓÉ ÓëÆøÔ´ÏàͨµÄ½ÚÁ÷Æ÷¼þ52Ó븡°åµÄ±íÃæÐγɳÐѹǻ53£¬ÔÚ½ÚÁ÷Æ÷¼þ52µÄβ²¿ÉèÖòâѹǻ 54;ÒÔ³Ðѹǻ53»ò²âѹǻ54µÄѹÁ¦ÐźÅΪ¼ì²âÊä³öÐźţ¬»òÒÔ½ÚÁ÷Æ÷¼þ52µÄÁ÷Á¿»òÁ÷ËÙ ÐźÅΪ¼ì²âÊä³öÐźš£¸÷¼ì²âÊä³öÐźÅÓë×÷ÓÃÓÚ¸¡°åÉϵı»²âÍâÁ¦ÒÔ¼°ÔÚÍâÁ¦×÷ÓÃϵĸ¡°å µÄÎ»ÒÆÁ¿Ò»Ò»¶ÔÓ¦£¬Æä¶ÔÓ¦¹ØÏµÍ¨¹ýʵÑé±ê¶¨µÄ·½·¨½øÐÐÈ·¶¨¡£
²Î¼ûͼl£¬ÎªÊµÏÖÁùάÁ¦µÄ²âÁ¿£¬±¾ÊµÊ©ÀýÖÐÉèÖÃÁùÃæÌ徨Ðθ¡°ål£¬¶ÔÓ¦ÓÚ¾ØÐθ¡°ål µÄÿһ¸öÃæ£¬·Ö±ðÉèÖÃÅç×죬ÒÔ¸÷Åç×ìÓë¾ØÐθ¡°å1Ïà¶ÔÓ¦µÄÃæ¹¹³ÉÅç×ìµ²°åʽѹÁ¦´«¸ÐÆ÷£¬ ²¢ÇÒ£¬×÷Ϊµ²°åµÄ¾ØÐθ¡°å1ÔÚ¸÷Åç×ìÆøÑ¹µÄ×÷ÓÃÏÂÍêÈ«Ðü¸¡£¬ÒÔ¸÷Åç×ìµÄÆøÇ»Ñ¹Á¦ÐźÅΪ ¼ì²âÊä³öÐźš£
²Î¼ûͼ2¡¢Í¼3ºÍͼ4£¬¾ßÌåʵʩÖеÄÏàÓ¦ÉèÖÃΪ
ÔÚ¸¡°å¶¥ÃælaºÍ¸¡°åµ×ÃælbµÄËĽÇλÖÃÉÏ£¬¸÷ÓÐÒ»Ö»Åç×죬ÔÚ¸¡°å×óÃælc¡¢¸¡°åÓÒÃæ ld¡¢¸¡°åǰ²àleºÍ¸¡°åºó²àlfµÄÿ¸öÃæÉÏ£¬Î»ÓÚÁ½¶Ë¸÷ÓÐÒ»Ö»Åç×죬¼´¹²ÓÐËÄÖ»¶¥ÃæÅç×ì 2a¡¢ËÄÖ»µ×ÃæÅç×ì2b¡¢Á½Ö»×ó²àÅç×ì2c¡¢Á½Ö»ÓÒ²àÅç×ì2d¡¢Á½Ö»Ç°²àÅç×ì2eºÍÁ½Ö»ºó²àÅç ×ì2f£¬ËùÓи÷Åç×ìµÄÖáÏßÓë¶ÔÓ¦×÷ΪÆäµ²°åµÄ¾ØÐθ¡°å1µÄ°åÃæÏà´¹Ö±¡£
Èçͼ2ºÍͼ3Ëùʾ£¬ÉèÖþØÐθ¡°å1Ïà¶ÔµÄÁ½¸öÃæÖжÔӦλÖÃÉϵÄÁ½Ö»Åç×ì´¦ÔÚͬһÖáÏßλÖÃÉÏ£¬ÒÔ´¦ÔÚͬһÖáÏßλÖÃÉϵÄÁ½¸öÅç×ìµÄÆøÇ»Ñ¹Á¦Ö®²î×÷Ϊ²î¶¯²âÁ¿µÄ¼ì²âÐźš£ ²âÁ¿·½Ê½ÈçÏÂ
ͨ¹ý¾ØÐθ¡°å1µÄÖÐÐÄO½¨Á¢×ø±êϵÈçͼ1Ëùʾ¡£¶¥ÃæÅç×ì2aºÍµ×ÃæÅç×ì2bµÄ×÷ÓÃÁ¦ ÓëZÖáÆ½ÐУ¬ÆäËü¸÷Åç×ìµÄ×÷ÓÃÁ¦ÔÚXOYÆ½ÃæÄÚ£¬ÇÒ·Ö±ðÓëXÖáºÍYÖáÆ½ÐС£
Éè×÷ÓÃÔÚ¾ØÐθ¡°å1ÉϵÄÍâÁ¦·Ö½âÎªÑØ¸÷×ø±êÖáµÄ·ÖÁ¦Fx¡¢ Fy¡¢ Fz¡¢¼°ÈƸ÷×ø±êÖá µÄÁ¦¾ØMx¡¢ My¡¢ Mz;¸¡°åÿ¸ö¹Õ½Ç´¦Óë×ø±êÖáÆ½ÐеÄÈý¸öÅç×ì×÷ÓÃÓÚ¸¡°åÉϵĸ¡Á¦½»»ã ÓÚÒ»µã£¬Ëĸö¹Õ½Ç´¦µÄ½»»ãµã·Ö±ðΪA¡¢ B¡¢ C¡¢ D;ÔÚ×ø±êϵÖУ¬A¡¢ B¡¢ C¡¢ D¸÷µãµÄ×ø±ê ·Ö±ðΪA (1/2,-1/2,0)¡¢ B (1/2,1/2,0)¡¢ C (-1/2,-1/2,0)¡¢ D (-1/2,1/2,0);×÷ÓÃÔÚ¾ØÐθ¡°åÉϵÄÍâ Á¦ÒýÆðµÄ¸÷Åç×ì×÷ÓÃÔÚ¸¡°åÉϵÄÁ¦µÄ±ä»¯Á¿·Ö±ðΪ
AµãFax (XÖá·½Ïò)¡¢Fay (YÖá·½Ïò)¡¢Faz+ (ZÖáÕý·½Ïò)¡¢Faz¡ª (ZÖḺ·½Ïò)£» BµãFbx (XÖá·½Ïò)¡¢Fby (YÖá·½Ïò)¡¢Fbz+ (ZÖáÕý·½Ïò)¡¢Fbz¡ª (ZÖḺ·½Ïò)£» CµãFcx (XÖá·½Ïò)¡¢Fey (YÖá·½Ïò)¡¢Fcz+ (ZÖáÕý·½Ïò)¡¢Fez¡ª (ZÖḺ·½Ïò)£» DµãFdx (XÖá·½Ïò)¡¢Fdy (YÖá·½Ïò)¡¢Fdz+ (ZÖáÕý·½Ïò)¡¢Fdz¡ª (ZÖḺ·½Ïò)£» Ôò¸÷×éÅç×측Á¦Ö®²îΪ Fcax=Fcx¡ªFax Fdbx=Fdx¡ªFbx Faby=Fay¡ªFby Fcdy=Fcy ¡ª Fdy Faz= Faz+¡ªFaz¡ª Fbz= Fbz+¡ªFbz¡ª Fcz= Fcz+¡ªFez¡ª Fdz= Fdz+¡ªFdz¡ª ÓÚÊÇ
Fx= ¡ª(Fcax + Fdbx) (1)
Fy= ¡ª (Faby + Fcdy) (2)
Fz= ¡ª(Faz + Fbz+Fcz+Fdz) (3)
Mx=(Faz+Fcz¡ªFbz¡ªFdz) 1/2 (4)
My= (Faz+Fbz¡ªFcz¡ªFdz) 1/2 (5)
Mz= (Fdbx¡ªFcax+Fcdy¡ªFaby) 1/2 (6)
¾ßÌåʵʩÖУ¬ÔÚ¹¤×÷̨3ÉÏÉèÖÃÅç×ìÖ§¼Ü4£¬ËÄÖ»µ×ÃæÅç×ì2b¹Ì¶¨ÉèÖÃÔÚ¹¤×÷̨3µÄ Ì¨ÃæÉÏ£¬ÆäËü¸÷Åç×ì¾ùÉèÖÃÔÚÅç×ìÖ§¼Ü4ÉÏ¡£
5ͼ4ËùʾÊÇÓÉÅç×ìºÍ¸¡°å¶ÔÓ¦µÄ°åÃæËù¹¹³ÉµÄѹÁ¦´«¸ÐÆ÷¡£¹¤×÷ʱ£¬ºã¶¨Ñ¹Á¦µÄѹ¿s¿Õ ÆøÍ¨Ïò¸÷¸öÅç×ìµÄ½øÆø¿Ú 5£¬¸¡°ål±»ÍêÈ«¸¡Æð£¬ÔÚÅç×ìÓëµ²°åÖ®¼äÐγɳÐѹǻ6£¬Í¨¹ý³Ð ѹǻµÄ²âѹ¿Ú 7¿ÉÒÔ²âÁ¿³ö³Ðѹǻ6µÄÆøÌåѹÁ¦¡£Èç¹ûÔÚ¸¡°å1ÉÏ×÷ÓÃÒ»¸öÍâÁ¦£¬½«»áÒýÆð ¸÷¸öѹÁ¦´«¸ÐÆ÷µÄ³ÐѹǻѹÁ¦±ä»¯£¬¸ù¾Ýÿ¸ö³ÐÑ¹Ç»ÆøÑ¹±ä»¯Á¿£¬¼´¿É°´ÉÏʽ¼ÆËã³ö×÷ÓÃÔÚ ¸¡°åÉϵÄÑØ¸÷×ø±êÖáµÄ·ÖÁ¦Fx¡¢ Fy¡¢ Fz¡¢¼°ÈƸ÷×ø±êÖáµÄÁ¦¾ØMx¡¢ My¡¢ Mz¡£
ȨÀûÒªÇó1¡¢Á¦¼°Î»ÒÆÁ¿µÄÆø¸¡Ê½²âÁ¿ÏµÍ³£¬ÆäÌØÕ÷ÊÇÉèÖø¡¶¯Ìå(51)£¬²¢ÉèÖÃÒÔÆøÁ÷Ö§³Å¸¡¶¯Ìå(51)µÄÆø¸¡ÏµÍ³£¬ËùÊöÆø¸¡ÏµÍ³ÊÇÓÉÓëÆøÔ´ÏàͨµÄ½ÚÁ÷Æ÷¼þ(52)Ó븡¶¯Ìå(51)µÄ±íÃæÐγɳÐѹǻ(53)£¬ÔÚ½ÚÁ÷Æ÷¼þ(52)µÄβ²¿ÉèÖòâѹǻ(54)£»ÒÔËùÊö³Ðѹǻ(53)»ò²âѹǻ(54)µÄѹÁ¦ÐźÅΪ¼ì²âÊä³öÐźţ¬»òÒÔ½ÚÁ÷Æ÷¼þ(52)µÄÁ÷Á¿»òÁ÷ËÙÐźÅΪ¼ì²âÊä³öÐźš£
רÀûÕªÒªÁ¦¼°Î»ÒÆÁ¿µÄÆø¸¡Ê½²âÁ¿ÏµÍ³£¬ÆäÌØÕ÷ÊÇÉèÖø¡¶¯Ì壬²¢ÉèÖÃÒÔÆøÁ÷Ö§³Å¸¡¶¯ÌåµÄÆø¸¡ÏµÍ³£¬Æø¸¡ÏµÍ³ÊÇÓÉÓëÆøÔ´ÏàͨµÄ½ÚÁ÷Æ÷¼þÓ븡¶¯ÌåµÄ±íÃæÐγɳÐѹǻ£¬ÔÚ½ÚÁ÷Æ÷¼þµÄβ²¿ÉèÖòâѹǻ£»ÒÔ³Ðѹǻ»ò²âѹǻµÄѹÁ¦ÐźÅΪ¼ì²âÊä³öÐźţ¬»òÒÔ½ÚÁ÷Æ÷¼þµÄÁ÷Á¿»òÁ÷ËÙÐźÅΪ¼ì²âÊä³öÐźš£±¾ÊµÓÃÐÂÐÍÄܹ»ÓÐЧ±ÜÃâ¶àάÁ¦×÷ÓÃʱµÄά¼äñîºÏ¡¢×¼È·ÊµÊ©¶àάÁ¦²âÁ¿£¬Äܹ»Ê¹ÆøÌåÖá³Ðͬʱ×÷ΪÁ¦¼°Î»ÒÆÁ¿´«¸ÐÆ÷¡£
Îĵµ±àºÅG01L3/00GK201163225SQ20082003280
¹«¿ªÈÕ2008Äê12ÔÂ10ÈÕ ÉêÇëÈÕÆÚ2008Äê3ÔÂ7ÈÕ ÓÅÏÈȨÈÕ2008Äê3ÔÂ7ÈÕ
·¢Ã÷Õß±ó »Æ ÉêÇëÈË:ºÏ·Ê¹¤Òµ´óѧ