£¨a£©¸ºÔØ£º¶¥³öÁ¦£¨¶¥³ö¿ªÊ¼½×¶Î£©Fd£½3.6¡Á105 N£¬»Ø³ÌÁ¦Fdh = 2¡Á105 N¡£
£¨b£©Ðг̼°ËÙ¶È£»ÐгÌL4 = 120 mm£¬¶¥³öÐгÌËÙ¶Èv4£½55 mm/s£¬»Ø³ÌËÙ¶Èv5£½120 mm/s¡£
Һѹ¸×²ÉÓÃVÐÍÃÜ·âȦ£¬Æä»úеЧÂʦÇcm£½0.91¡£Ñ¹Í·Æð¶¯¡¢Öƶ¯Ê±¼ä£º0.2 s¡£
Éè¼ÆÒªÇó¡£±¾»úÊôÓÚÖÐСÐÍÖùʽҺѹ»ú£¬ÓнϹ㷺µÄͨÓÃÐÔ£¬³ýÁËÄܽøÐб¾ÀýËùÊöµÄÑ¹ÖÆ¹¤×÷Í⣬»¹ÄܽøÐгå¿×¡¢ÍäÇú¡¢½ÏÕý¡¢Ñ¹×°¼°³åѹ³ÉÐ͵ȹ¤×÷¡£¶Ô¸Ã»úÓÐÈçÏÂÐÔÄÜÒªÇó£º
£¨a£©ÎªÁËÊÊÓ¦ÅúÁ¿Éú²úµÄÐèÒªÓ¦¾ßÓнϸߵÄÉú²úÂÊ£¬¹ÊÒªÇó±¾»úÓнϸߵĿճ̺ͻسÌËÙ¶È¡£
£¨b£©³ýÉÏҺѹ¸×Í⻹Óж¥³ö¸×¡£¶¥³ö¸×³ýÓÃÒÔ¶¥³ö¹¤¼þÍ⣬»¹ÔÚÆäËû¹¤ÒÕ¹ý³ÌÖÐÓ¦Óá£Ö÷¸×ºÍ¶¥³ö¸×Ó¦²»ÄÜͬʱ¶¯×÷£¬ÒÔ·À³öÏָö¯×÷ʹʡ£
£¨c£©ÎªÁ˽µµÍҺѹ±ÃµÄÈÝÁ¿£¬Ö÷¸×¿Õ³ÌÏÂÐеĿìËÙÐг̷½Ê½²ÉÓÃ×ÔÖØ¿ìËÙÏÂÐС£Òò´Ë±¾»úÉèÓиßλ³äҺͲ£¨¸ßλÓÍÏ䣩£¬ÔÚÒÆ¶¯¼þ¿ìËÙ¿Õ³ÌÏÂÐÐʱ£¬Ö÷¸×Éϲ¿ÐγɸºÑ¹£¬³äҺͲÖеÄÓÍÒºÄÜÎüÈëÖ÷¸×£¬ÒÔ²¹³äҺѹ±ÃÁ÷Á¿Ö®²»×ã¡£
£¨d£©Ö÷¸×ºÍ¶¥³ö¸×µÄѹÁ¦Äܹ»µ÷½Ú£¬Ñ¹Á¦ÄÜ·½±ãµØ½øÐвâÁ¿¡£ £¨e£©ÄܽøÐб£Ñ¹Ñ¹ÖÆ¡£
£¨f£©Ö÷¸×»Ø³ÌʱӦÓж¥Ð¹Ñ¹´ëÊ©£¬ÒÔÏû³ý»ò¼õС»»ÏòжѹʱµÄҺѹ³å»÷¡£
£¨g£©ÏµÍ³ÉÏÓ¦ÓÐÊʵ±µÄ°²È«±£»¤´ëÊ©¡£
4 È·¶¨Ñ¹Á¦»úҺѹ¸×µÄÖ÷Òª²ÎÊý
£¨1£©³õѡҺѹ¸×µÄ¹¤×÷ѹÁ¦
£¨a£©Ö÷¸×¸ºÔØ·ÖÎö¼°»æÖƸºÔØÍ¼ºÍËÙ¶Èͼ
Һѹ»úµÄҺѹ¸×ºÍѹͷ´¹Ö±·ÅÖã¬ÆäÖØÁ¿½Ï´ó£¬Îª·ÀÖ¹Òò×ÔÖØ¶øÏ»¬£»ÏµÍ³ÖÐÉèÓÐÆ½ºâ»ØÂ·¡£Òò´ËÔÚ¶ÔѹͷÏòÏÂÔ˶¯×÷¸ºÔØ·ÖÎöʱ£¬Ñ¹Í·×ÔÖØËù²úÉúµÄÏòÏÂ×÷ÓÃÁ¦²»ÔÙ¼ÆÈë¡£ÁíÍ⣬Ϊ¼ò»¯ÎÊÌ⣬ѹͷµ¼¹ìÉϵÄ
4
Ħ²ÁÁ¦²»¼Æ¡£
¹ßÐÔÁ¦£»¿ìËÙϽµÊ±Æð¶¯
¦¤v0.060
Faz = m = 3058¡Á = 917 N
¦¤t0.2
¿ìËٻسÌʱÆð¶¯ÓëÖÆ¶¯
¦¤v0.053Fas = m = 3058¡Á = 810 N
¦¤t0.2
Ñ¹ÖÆÁ¦£º³õѹ½×¶ÎÓÉÁãÉÏÉýµ½F1 = 1.8¡Á106 N¡Á0.10 = 1.8¡Á105 N ÖÕѹ½×¶ÎÉÏÉýµ½F2 = 1.8¡Á106 N
Ñ»·Öи÷½×¶Î¸ºÔؼû±í1.1£¬Æä¸ºÔØÍ¼¼ûͼ1.2a¡£
±í1.1 Ö÷¸×µÄ¸ºÔؼÆËã Һѹ¸×¹¤×÷ѹÁ¦£¨Pa£© Һѹ¸×ÍÆÁ¦ ¹¤×÷½×¶Î ¸ºÔØÁ¦FL£¨N£© F?FLp1?FL(PL) ?cmA1?cm£¨N£© £¨»Ø³Ìʱp2?FL?cmA2£© ¿ìËÙÏÂÐÐ Ñ¹ÖÆ Æð¶¯ µÈËÙ ³õѹ ÖÕѹ Æð¶¯ FL = FaÏ = 917 FL = 0 FL = 1.8¡Á10 FL = 1.8¡Á106 FL = F»Ø = 3.6¡Á10 FL = mg = 30000 FL = mg- FaÏ = 30000-810 = 29190 551008 0 1.98¡Á10 1.98¡Á106 3.96¡Á10 32967 5512533 0 2.46¡Á10 24.6¡Á106 21¡Á10 1.75¡Á106 66¿ìËÙ»Ø³Ì µÈËÙ ÖÆ¶¯ 32077 1.7¡Á106 ×¢£º±í1.1ÖеÄҺѹ¸×¹¤×÷ѹÁ¦µÄ¼ÆËãÀûÓÃÁ˺óÐøÒºÑ¹¸×µÄ½á¹¹³ß´ç¡£
Ô˶¯·ÖÎö£º¸ù¾Ý¸ø¶¨Ìõ¼þ£¬¿ÕÔØ¿ìËÙϽµÐгÌ200 mm£¬ËÙ¶È60 mm/s¡£
5
Ñ¹ÖÆÐгÌ110 mm£¬ÔÚ¿ªÊ¼µÄ90 mmÄÚµÈËÙÔ˶¯¡£ËÙ¶ÈΪ6 mm/s£¬×îºóµÄ20 mmÄÚËٶȾùÔȵؼõÖÁÁ㣬»Ø³ÌÒÔ53 mm/sµÄËÙ¶ÈÉÏÉý¡£ÀûÓÃÒÔÉÏÊý¾Ý¿É»æÖƳöËÙ¶Èͼ£¬¼ûͼ1.2b¡£
a ѹÁ¦»úҺѹϵͳ¸ºÔØÍ¼ b ѹÁ¦»úҺѹ¸×Ô˶¯ËÙ¶Èͼ
ͼ1.2 Һѹ»úÖ÷Һѹ¸×¸ºÔغÍËÙ¶Èͼ
£¨2£©È·¶¨ÒºÑ¹¸×µÄÖ÷Òª½á¹¹²ÎÊý
¸ù¾ÝÓйØ×ÊÁÏ£¬ÒºÑ¹»úµÄѹÁ¦·¶Î§Îª20~30 MPa£¬ÏÖÓбê׼Һѹ±Ã¡¢ÒºÑ¹·§µÄ×î¸ß¹¤×÷ѹÁ¦Îª32 MPa£¬ÈçÑ¡´ËѹÁ¦ÎªÏµÍ³¹¤×÷ѹÁ¦£¬ÒºÑ¹Ôª¼þµÄ¹¤×÷ÐÔÄܻ᲻¹»Îȶ¨£¬¶ÔÃÜ·â×°ÖõÄÒªÇóÒԽϸߣ¬Ð¹Â©½Ï´ó¡£²Î¿¼ÏµÁÐÖÐÏÖÒÑÉú²úµÄÆäËü¹æ¸ñͬÀàҺѹ»ú£¨Èç63¡¢100¡¢200¡¢300¶ÖҺѹ»ú£©Ëù²ÉÓõŤ×÷ѹÁ¦£¬±¾»úÑ¡Óù¤×÷ѹÁ¦Îª25¡Á106Pa¡£ÒºÑ¹¸×ÄÚ¾¶DºÍ»îÈû¸ËÖ±¾¶d¿É¸ù¾Ý×î´ó×ܸºÔغÍѡȡµÄ¹¤×÷ѹÁ¦À´È·¶¨¡£
£¨a£©Ö÷¸×µÄÄÚ¾¶D
4F
D = =
¦Çcm¦Ðp
°´±ê׼ȡD =320mm
4¡Á1.8¡Á106 = 0.317m = 317 mm
0.91¡Á¦Ð¡Á25¡Á106£¨b£©Ö÷¸×ÎÞ¸ËÇ»µÄÓÐЧ¹¤×÷Ãæ»ýA1
¦Ð¦ÐA1=D2 =¡Á0.322=0.0804m2=804 cm2
44£¨c£©Ö÷¸×»îÈû¸ËÖ±¾¶d
6
4Fh4¡Á3.6¡Á1052
d =D-=0.32-=0.287 m=287 mm
¦Çcm¦Ðp0.91¡Á¦Ð¡Á25¡Á106°´±ê׼ֵȡd = 280 mm
2
D-d£½320¨C280£½40 mm£¾ÔÊÐíÖµ12.5 mm
£¨¾ÝÓйØ×ÊÁÏ£¬£¨D¨Cd£©Ð¡ÓÚÔÊÐíֵʱ£¬ÒºÑ¹¸×»á´¦ÓÚµ¥Ïò×ÔËø×´Ì¬¡££© £¨4£©Ö÷¸×ÓиËÇ»µÄÓÐЧ¹¤×÷Ãæ»ýA2
¦Ð¦ÐA2 = £¨D2¨Cd2£©= ¡Á£¨0.322¨C0.282£©= 0.01885 m2 = 188.5 cm2
44£¨d£©Ö÷¸×µÄ¹¤×÷ѹÁ¦
F917
= = 12533 Pa ¦ÇcmA10.91¡Á0.0804F1.8¡Á105
³õѹ½×¶ÎÄ© p1 = = = 2.46¡Á106 Pa
¦ÇcmA10.91¡Á0.0804F1.8¡Á106
ÖÕѹ½×¶ÎÄ© p1 = = = 24.6¡Á106 Pa
¦ÇcmA10.91¡Á0.0804F3.6¡Á105
»îÈû»Ø³ÌÆð¶¯Ê± p2 = = = 21¡Á106 Pa
¦ÇcmA20.91¡Á0.01885F30000
»îÈûµÈËÙÔ˶¯Ê± p2 = = = 1.75¡Á106 Pa
¦ÇcmA20.91¡Á0.01885F29190
»Ø³ÌÖÆ¶¯Ê± p2 = = = 1.7¡Á106 Pa
¦ÇcmA20.91¡Á0.01885»îÈû¿ìËÙÏÂÐÐÆð¶¯Ê± p1 =
£¨e£©ÒºÑ¹¸×¸×Ͳ³¤¶È
Һѹ¸×¸×Ͳ³¤¶ÈÓÉ»îÈû×î´óÐг̡¢»îÈû³¤¶È¡¢»îÈû¸Ëµ¼ÏòÌ׳¤¶È¡¢»îÈû¸ËÃܷⳤ¶ÈºÍÌØÊâÒªÇóµÄÆäËû³¤¶ÈÈ·¶¨¡£ÆäÖлîÈû³¤¶È B=£¨0.6~1.0£©D£»µ¼ÏòÌ׳¤¶ÈA=£¨0.6~1.5£©d¡£ÎªÁ˼õÉÙ¼Ó¹¤ÄѶȣ¬Ò»°ãҺѹ¸×¸×Ͳ³¤¶È²»Ó¦´óÓÚÄÚ¾¶µÄ20¡«30±¶¡£ £¨3£©¼ÆËãҺѹ¸×µÄ¹¤×÷ѹÁ¦¡¢Á÷Á¿ºÍ¹¦ÂÊ
£¨a£©Ö÷¸×µÄÁ÷Á¿
¿ìËÙÏÂÐÐʱq1 = A1v1 = 804¡Á6 = 4824cm3/s = 289.4 L/min ¹¤×÷ÐгÌʱq2 = A2v2 = 804¡Á0.6 = 482cm3/s = 28.9 L/min ¿ìËٻسÌʱq3 = A3v3 = 183.5¡Á5.3 = 999cm3/s = 59.9 L/min £¨b£©Ö÷¸×µÄ¹¦ÂʼÆËã ¿ìËÙÏÂÐÐʱ£¨Æð¶¯£©£ºP1 = p1q1 = 12533¡Á4824¡Á10-6 = 60.46 W
7
Ïà¹ØÍÆ¼ö£º