U n iv e rsity o f P re to ria e td E n g e lb re c h t, F ...

23
University of Pretoria etd – Engelbrecht, F A (2006)

Transcript of U n iv e rsity o f P re to ria e td E n g e lb re c h t, F ...

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ε = 10−6/5÷U

10−7 Uô$¿B¼¯É°®ÀK°)üB«5²¾®À­¼É«­øf¬¶>²´³8 ¦1»öBùMjj`¥ ÂC¼¥¿5¼Éúÿ¼É«­¼É®,¯É¼U³X°)¶¾üÀ­²¾°)®3úÿ°«>À­¿B¼I¯±°)¶´÷3½Bü,½B½B¶´¼DÀK¼l³vÀV`°ÔÀ­¼É®ÀK²â¬Ô¶"À­¼Éùö7¼É«¥¬"ÀKü,«K¼ö7¼É«KÀKüB«­½,¬"À­²¾°)®²¾®À­¿B¼«­²¾»)¿ÀXým¿,¬Ô®,÷1ö,¬«XÀU°úGÀK¿B¼9²¾®ÀK¼d»«¥¬"À­²¾°)®1÷°)ù¬Ô²´®úÿ°«0 ≤ σ ≤ 1

lc¬9¬ÔÀ¦³b½¤3¬"ú ÀK¼d«» ¦¦/³b¯3¬"ú ÀK¼d«Ñ ¦ ¦õ³d÷U*¬Ôú ÀK¼d« ¦¦¨³Iô$¿B¼¯É°®ÀK°)üB«5²¾®À­¼É«­øf¬¶>²´³j¨cN½°ÔÀ­¼*ÀK¿B¼ã÷²â³KöB¶´¬)¯±¼dù1¼d®À$°úYÀ­¿B¼¿B°)«K²É°)®)À¥¬Ô¶>³­¯É¬Ô¶´¼*²¾®©c÷U jjjj]jjjj`»¦

ÂC » 5¼Éúÿ¼É«­¼É®,¯É¼õ³K°¶´üÀK²´°®2úÿ°«1ÀK¿B¼º¯±°)¶´÷2½BüB½B½B¶´¼õÀK¼l³vÀ2ô$¿B¼u¯É°ùöx°)®B¼É®À

°ÔúDÀ­¿B¼ã·5²´®,÷@ÿÀK°öö,¬Ô®B¼d¶v¬Ô®,÷õÀ­¿B¼w¯É°ùö7°®B¼d®)À9°ÔúDÀK¿,¼ã·5²¾®x÷@ÿ½7°ÔÀKý

ÀK°)ùö,¬®B¼É¶ ¬Ôú ÀK¼d« ¦ ¦³3²¾®-ÀK¿B¼«­²¾»)¿ÀXým¿,¬Ô®,÷'ö,¬Ô«KÀ3°úIÀ­¿B¼²¾®ÀK¼d»«¥¬"À­²¾°)®÷°)ù¬²¾®Vþúÿ°«

0 ≤ σ ≤ 1Dô$¿B¼ã¯±°)®)À­°üB«$²´®ÀK¼É«­ø"¬Ô¶>²â³8¥1ù³ ý j`»U

ÂC § ô$¿B¼öx°ÀK¼É®À­²´¬¶~À­¼Éùöx¼d«­¬ÔÀKüB«­¼&÷¼dø²´¬ÔÀK²´°®¦¬"ú À­¼É« ¦ ¦³úÿ°«-ÀK¿,¼¯±°)¶´÷½BüB½,½B¶¾¼'ÀK¼d³XÀdþ5²´®+ÀK¿,¼'«K²´»¿ÀKýq¿,¬®,÷ö,¬Ô«KÀ%°Ôú*ÀK¿,¼'²¾®À­¼É»«¥¬"À­²¾°)®÷B°ù¬Ô²´®þúÿ°«

0 ≤ σ ≤ 1l4c¬

Ks = 75ms−2 ÿ½¤ Ks = 50ms−2 c¯Ks = 25ms−2 !÷¤ Ks = 0ms−2 Uô$¿,¼*¯É°®ÀK°)üB«5²´®)À­¼É«­ø"¬Ô¶G²´³¨c6`»ÂÂC¼Â ô$¿B¼

w¯±°ùö7°®B¼d®À`°ú,À­¿B¼5·5²¾®x÷ãúÿ°)«`ÀK¿B¼5¯±°)¶´÷¨½BüB½,½B¶¾¼$À­¼d³XÀU¬"ú ÀK¼d«t ¦¦9³dþ

²´®ÀK¿B¼~«K²´»¿ÀXým¿,¬®,÷õö,¬Ô«KÀ°Ôú`À­¿B¼~²´®ÀK¼É»)«­¬ÔÀK²´°®÷°)ù¬²¾®VþBúÿ°«0 ≤ σ ≤ 1

Ks = 75ms−2 \½¤ Ks = 50ms−2 ]¯ Ks = 25ms−2 \c÷UKs = 0ms−2 Uô$¿B¼ã¯±°)®)À­°üB«$²´®ÀK¼É«­ø"¬Ô¶>²â³8¥1ù³ ý+ fjjjj`»J¾ÂC Ñ ô$¿B¼öx°ÀK¼É®À­²´¬¶~À­¼Éùöx¼d«­¬ÔÀKüB«­¼&÷¼dø²´¬ÔÀK²´°®¦¬"ú À­¼É« ¦ ¦³úÿ°«-ÀK¿,¼¯±°)¶´÷½BüB½,½B¶¾¼'ÀK¼d³XÀdþ5²´®+ÀK¿,¼'«K²´»¿ÀKýq¿,¬®,÷ö,¬Ô«KÀ%°Ôú*ÀK¿,¼'²¾®À­¼É»«¥¬"À­²¾°)®÷B°ù¬Ô²´®þúÿ°«

0 ≤ σ ≤ 1l4c¬

Ks = 75ms−2 ÿ½¤ Ks = 50ms−2 c¯Ks = 25ms−2 [÷U Ks = 0ms−2 %ô$¿,¼Z¿,¬Ôö,²¾«­°,¶æÀ­¼É«²â³ã¬Ôö,öB¶¾²´¼d÷·5²¾ÀK¿

p = 4`ô$¿,¼ã¯±°®À­°üB«$²´®)À­¼É«­ø"¬Ô¶>²â³j¨càjjjj]»

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²´®ÀK¿B¼~«K²´»¿ÀXým¿,¬®,÷õö,¬Ô«KÀ°Ôú`À­¿B¼~²´®ÀK¼É»)«­¬ÔÀK²´°®÷°)ù¬²¾®VþBúÿ°«0 ≤ σ ≤ 1

l¬Ks = 75ms−2 \½¤ Ks = 50ms−2 ]¯ Ks = 25ms−2 \c÷U

Ks = 0ms−2 ô$¿B¼Z¿,¬öB²´«K°*,¶¾ÀK¼É«²â³¬ÔöBö,¶¾²´¼d÷&·5²æÀ­¿ö3§¤&ô$¿B¼¯±°)®ÀK°ü,«£²´®ÀK¼d«Kø"¬Ô¶>²â³|¥¨ù³ ý+ jjjj]jjjj`%§¤ÂC ô$¿B¼öx°ÀK¼É®À­²´¬¶~À­¼Éùöx¼d«­¬ÔÀKüB«­¼&÷¼dø²´¬ÔÀK²´°®¦¬"ú À­¼É« ¦ ¦³úÿ°«-ÀK¿,¼¯±°)¶´÷

½BüB½,½B¶¾¼'ÀK¼d³XÀdþ5²´®+ÀK¿,¼'«K²´»¿ÀKýq¿,¬®,÷ö,¬Ô«KÀ%°Ôú*ÀK¿,¼'²¾®À­¼É»«¥¬"À­²¾°)®÷B°ù¬Ô²´®þúÿ°«

0 ≤ σ ≤ 1l4c¬

Ks = 75ms−2 ÿ½¤ Ks = 50ms−2 c¯Ks = 25ms−2 8÷¤ Ks = 0ms−2 ºô$¿B¼úÿ°)üB«KÀK¿°«¥÷¼d«ã÷²´³­¯±«­¼±À­²l¬"ýÀK²´°®°Ôú£³Xö,¬ÔÀK²â¬Ô¶D÷¼d«K²´ø"¬"ÀK²´ø¼l³3²¾®ÀK¿B¼¬÷> vü,³vÀ­ù¼É®Àã³vÀ­¼Éö¼dûü,¬"À­²¾°)®,³*¬Ô®,÷ÀK¿,¼cZ¿x¬ÔöB²´«K°`,¶æÀ­¼É«3·5²æÀ­¿

p = 4·£¼É«­¼ãü,³K¼d÷!9ô$¿B¼1¯±°®À­°üB«9²¾®ÀK¼d«Kø"¬¶Y²â³

¨côjjjj]jjjj]jjjj`%§JÂÂC ô$¿B¼

w¯±°ùö7°®B¼d®À`°ú,À­¿B¼5·5²¾®x÷ãúÿ°)«`ÀK¿B¼5¯±°)¶´÷¨½BüB½,½B¶¾¼$À­¼d³XÀU¬"ú ÀK¼d«t ¦¦9³dþ

²´®ÀK¿B¼~«K²´»¿ÀXým¿,¬®,÷õö,¬Ô«KÀ°Ôú`À­¿B¼~²´®ÀK¼É»)«­¬ÔÀK²´°®÷°)ù¬²¾®VþBúÿ°«0 ≤ σ ≤ 1

Ks = 75ms−2 \½¤ Ks = 50ms−2 ]¯ Ks = 25ms−2 \c÷UKs = 0ms−2 ãô$¿B¼¨úÿ°üB«KÀK¿-°«¥÷¼É«*÷²â³K¯É«K¼ÉÀK²d¬ÔÀK²´°®'°ú\³Xöx¬"ÀK²â¬Ô¶`÷¼d«K²´ø"¬"ýÀK²´ø¼l³D²´®¨À­¿B¼¬÷> vü,³vÀ­ù¼É®ÀI³vÀ­¼Éö¼dûü,¬ÔÀK²´°®,³D¬®,÷¨ÀK¿B¼|Z¿,¬ÔöB²´«­°\x¶æÀ­¼É«U·5²¾ÀK¿p = 4

·£¼É«­¼9üx³X¼l÷Uô$¿B¼ã¯±°)®ÀK°ü,«£²´®ÀK¼d«Kø"¬Ô¶>²â³8¥1ù³ ý ájjj`%§C¾ÂC¦+ô$¿B¼ö7°ÔÀ­¼É®ÀK²â¬Ô¶BÀK¼Éùö7¼É«¥¬"À­üB«K¼9÷¼Éø²â¬"ÀK²´°®¬Ôú ÀK¼É«b ¦ ¦*³Uúÿ°«DÀ­¿B¼¯±°)¶´÷1½Bü,½ý

½B¶´¼ÀK¼l³vÀlþ$²¾®+À­¿B¼«K²´»¿ÀKýq¿,¬®,÷ö,¬Ô«KÀ%°Ôú*ÀK¿,¼²¾®ÀK¼d»«¥¬"À­²¾°)®÷°)ù¬Ô²´®þ£úÿ°«0 ≤ σ ≤ 1

lc¬\H ¦ ³K¯¥¿,¼Éù¼9ÿ½¤]H ³­¯¥¿B¼Éù¼d¯jH ¥ ³K¯¥¿B¼dù¼bc÷UH » ³K¯¥¿,¼Éù¼U·5²¾ÀK¿úÿ°)üB«XÀ­¿°«¥÷¼É«Y÷²<&G¼É«­¼É®x¯±²´®B»9¬öBöB¶´²¾¼l÷3ÀK°À­¿B¼I÷¼dö,¬Ô«KÀKü,«K¼ö7°²´®)À$úÿ°)«Kù¨üB¶´¬¬®,÷À­¿B¼*ÀK¼d«KùA∗

ps

Dô$¿B¼*úÿ°ü,«XÀ­¿°)«­÷¼d«£÷B²´³­¯±«­¼±À­²l¬"ÀK²´°®°Ôú³Kö,¬ÔÀK²â¬Ô¶\÷B¼É«­²¾ø"¬"À­²¾ø)¼d³²´®À­¿B¼¬)÷^ vü,³XÀKù¼É®À1³XÀK¼dö2¼dûü,¬ÔÀK²´°®,³¨¬Ô®,÷À­¿B¼Z¿,¬öB²´«K°",¶¾ÀK¼d«·5²æÀ­¿

p = 4¬Ô«­¼*ü,³K¼d÷

Ks = 25m2s−1 Iô$¿,¼ã¯±°®À­°üB«²´®)À­¼É«­ø"¬Ô¶>²â³¨cïj]jjjj]jjjj`%§ÂC ô$¿B¼

w¯±°ùö7°®B¼d®À°úÀ­¿B¼º·5²¾®,÷+¬Ôú ÀK¼É«`¦ ¦-³1úÿ°«ÀK¿,¼º¯É°¶â÷&½,üB½B½B¶´¼

ÀK¼l³vÀlþD²¾®&ÀK¿B¼«K²´»¿ÀKýq¿,¬®,÷ ö,¬«XÀ~°ú5ÀK¿B¼²¾®À­¼É»«¥¬"À­²¾°)®2÷°ù¬²¾®þ#úÿ°)«0 ≤

σ ≤ 1lR¬H ¦ ³­¯¥¿B¼Éù¼|ÿ½¤H ³K¯¥¿B¼dù¼|c¯PH ¥ ³­¯¥¿B¼Éù¼÷UH »³­¯¥¿B¼Éù¼/·5²¾ÀK¿&úÿ°üB«KÀK¿°«¥÷¼É«1÷²&7¼d«K¼d®,¯±²´®B»-¬öBöB¶´²¾¼l÷À­°'ÀK¿,¼õ÷¼dö,¬Ô«KÀKü,«K¼

ö7°²´®)À$úÿ°)«Kù¨üB¶´¬¬®,÷À­¿B¼*ÀK¼d«KùA∗

ps

Dô$¿B¼*úÿ°ü,«XÀ­¿°)«­÷¼d«£÷B²´³­¯±«­¼±À­²l¬"ÀK²´°®°Ôú³Kö,¬ÔÀK²â¬Ô¶\÷B¼É«­²¾ø"¬"À­²¾ø)¼d³²´®À­¿B¼¬)÷^ vü,³XÀKù¼É®À1³XÀK¼dö2¼dûü,¬ÔÀK²´°®,³¨¬Ô®,÷À­¿B¼Z¿,¬öB²´«K°",¶¾ÀK¼d«·5²æÀ­¿

p = 4¬Ô«­¼*ü,³K¼d÷

Ks = 25m2s−1 Iô$¿,¼ã¯±°®À­°üB«²´®)À­¼É«­ø"¬Ô¶>²â³|¥¨ù³ ý+ ¯j]jjjj]jjjj`ÂNÂC¥ã'¬«K»)²¾®,¬¶¾¶´¸¬Ô®,÷ö7°°«­¶¾¸1«­¼d³K°¶´ø¼d÷"æx°"·²¾®À­¿B¼*¯±°¶â÷½Bü,½B½B¶´¼À­¼d³XÀDô$¿B¼

ö7°ÔÀK¼d®ÀK²â¬Ô¶ÀK¼dù1ö7¼É«¥¬"À­üB«­¼£÷¼dø²´¬ÔÀK²´°®~¬Ôú ÀK¼É«T¦ ¦³#²´®ãÀ­¿B¼$«K²´»¿ÀXým¿,¬®,÷ö,¬«XÀ°Ôú~ÀK¿B¼-²¾®ÀK¼d»«¥¬"À­²¾°)®÷°ù¬²¾®þúÿ°«

0 ≤ σ ≤ 1l4¬

∆z ≈ ∆x =200m

·5²æÀ­¿³K¼d¯É°®,÷1°)«­÷¼d«D÷²<&G¼É«­¼É®x¯±²´®B»ÿ½¤∆z ≈ ∆x = 200m

·5²¾ÀK¿úÿ°ü,«XÀ­¿~°«¥÷¼d«Y÷²&7¼d«K¼d®,¯±²´®B»N¯

∆z ≈ ∆x = 400m·5²æÀ­¿ãúÿ°ü,«XÀ­¿~°«¥÷¼d«

÷²&7¼d«K¼d®,¯±²´®B»P÷¤∆z ≈ 100m

þ∆x = 500m

·5²¾ÀK¿+úÿ°)üB«XÀ­¿°«¥÷¼É«÷²&7¼d«K¼d®,¯±²´®B»¤ô$¿B¼

D3³­¯¥¿B¼Éù¼ã·5²¾ÀK¿'³K¼d¯É°®,÷º°)«­÷B¼É«÷²â³­¯±«­¼±ÀK²d¬ÔÀK²´°®º°Ôú

³Kö,¬"À­²´¬¶`÷B¼É«­²¾ø"¬"À­²¾ø)¼d³·£¬)³ü,³K¼d÷²¾®-ÀK¿,¼1¬)÷ø¼l¯ÀK²´°®-³vÀ­¼Éö!ãô$¿B¼Z¿,¬öB²´«K°,¶¾ÀK¼d«£·5²¾ÀK¿p = 4

·£¬)³Iüx³X¼l÷Ks = 50m2s−1 Dô$¿B¼*¯±°)®)À­°üB«£²´®)À­¼É«­ø"¬Ô¶²â³¨c jjj]jjjj]jjjj`§

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ÂC»Ì'¬«K»)²¾®,¬¶¾¶´¸¬Ô®,÷ö7°°«­¶¾¸1«­¼d³K°¶´ø¼d÷"æx°"·²¾®À­¿B¼*¯±°¶â÷½Bü,½B½B¶´¼À­¼d³XÀDô$¿B¼w¯±°)ùöx°)®B¼É®À~°ú£À­¿B¼/·5²´®,÷¬Ôú ÀK¼É«" ¦¦³ã²´® ÀK¿B¼«K²´»¿ÀXým¿,¬®,÷ö,¬Ô«KÀã°Ôú

ÀK¿,¼%²¾®À­¼É»«¥¬"À­²¾°)®÷B°ù¬Ô²´®þúÿ°)«0 ≤ σ ≤ 1

lc¬∆z ≈ ∆x = 200m·5²¾ÀK¿¨³K¼d¯É°®,÷~°«¥÷¼É«#÷²&7¼d«K¼d®,¯±²´®B»¤ÿ½¤

∆z ≈ ∆x = 200m·5²æÀ­¿ãúÿ°ü,«XÀ­¿

°«¥÷¼d«`÷B²<&G¼É«­¼É®,¯É²¾®,»Uc¯∆z ≈ ∆x = 400m

·5²æÀ­¿~úÿ°)üB«KÀK¿1°«¥÷¼É«D÷²&7¼d«Xý¼É®x¯±²´®B»'÷U

∆z ≈ 100mþ∆x = 500m

·5²æÀ­¿úÿ°üB«KÀK¿°«¥÷¼d«I÷²&7¼d«K¼d®,¯ý²´®B»U%ô$¿B¼

D3³­¯¥¿B¼Éù¼·5²¾ÀK¿³X¼l¯±°)®,÷°)«­÷B¼É«ã÷²â³K¯É«K¼ÉÀK²d¬ÔÀK²´°®°ú$³Kö,¬ÔÀK²â¬Ô¶

÷¼d«K²´ø"¬"ÀK²´ø¼l³1·£¬)³ü,³X¼l÷&²´®ÀK¿B¼¬)÷ø¼l¯ÀK²´°®+³XÀK¼ÉöV+ô$¿,¼RZ¿,¬ÔöB²´«­°,¶¾ÀK¼d«·5²¾ÀK¿

p = 4·$¬³5ü,³K¼d÷!

Ks = 50m2s−1 ô$¿,¼¨¯±°)®ÀK°ü,«²¾®À­¼É«­øf¬¶V²â³\¥ù³ ý+ jjjj]jjjj]jjjj`¾ÂC%§ô$¿B¼ö7°ÔÀ­¼É®ÀK²â¬Ô¶BÀK¼Éùö7¼É«¥¬"À­üB«K¼9÷¼Éø²â¬"ÀK²´°®¬Ôú ÀK¼É«b ¦ ¦*³Uúÿ°«DÀ­¿B¼¯±°)¶´÷1½Bü,½ý

½B¶´¼ÀK¼l³vÀlþ$²¾®+À­¿B¼«K²´»¿ÀKýq¿,¬®,÷ö,¬Ô«KÀ%°Ôú*ÀK¿,¼²¾®ÀK¼d»«¥¬"À­²¾°)®÷°)ù¬Ô²´®þ£úÿ°«0 ≤ σ ≤ 1

lã¬ZC ³X²´ù~üB¶â¬"À­²¾°)®+·5²æÀ­¿∆ts = ∆ta = 0.5 s

Pÿ½ZC§³K²¾ù¨üB¶â¬"ÀK²´°®·5²æÀ­¿

∆ts = ∆ta = 1 sc¯ZC³K²¾ù¨üB¶â¬"ÀK²´°®·5²¾ÀK¿

∆ts = ∆ta = 1.5 s|c÷U~ª(R³X²´ù~üB¶â¬"À­²¾°)®2·5²¾ÀK¿

∆ts = ∆ta = 1 s

ô$¿B¼RZ¿,¬öB²¾«­°R,¶¾ÀK¼d«¨·5²¾ÀK¿p = 4

·£¬)³ãü,³K¼d÷þU·5²æÀ­¿Ks = 50m2s−1 ô$¿B¼ã¯É°®ÀK°)üB«$²¾®ÀK¼d«Kø"¬¶>²´³j¨cìjjj]jjjj`ÑU

ÂCÂô$¿B¼ö7°ÔÀ­¼É®ÀK²â¬Ô¶BÀK¼Éùö7¼É«¥¬"À­üB«K¼9÷¼Éø²â¬"ÀK²´°®¬Ôú ÀK¼É«b ¦ ¦*³Uúÿ°«DÀ­¿B¼¯±°)¶´÷1½Bü,½ý½B¶´¼ÀK¼l³vÀlþ$²¾®+À­¿B¼«K²´»¿ÀKýq¿,¬®,÷ö,¬Ô«KÀ%°Ôú*ÀK¿,¼²¾®ÀK¼d»«¥¬"À­²¾°)®÷°)ù¬Ô²´®þ£úÿ°«0 ≤ σ ≤ 1

l¬jZC ³K²´ù~üB¶â¬"À­²¾°)®·5²¾ÀK¿∆ts = 2 s

þ∆ta = 0.5 s

¬®,÷Ks = 50m2s−1 b½¤ZC ³K²¾ù¨üB¶´¬ÔÀK²´°®-·5²æÀ­¿

∆ts = 3 sþ∆ta = 0.5 s¬Ô®x÷

Ks = 50m2s−1 8c¯*ª(8³K²¾ù¨üB¶â¬"ÀK²´°®·5²¾ÀK¿∆ts = 2 s

þ∆ta =

0.5 s¬®,÷

Ks = 50m2s−1 c÷Uª(³K²¾ù¨üB¶â¬"ÀK²´°®·5²¾ÀK¿∆ts = 2 s

þ∆ta = 0.5 s

¬®,÷Ks = 25m2s−1 ¨ô$¿B¼`Z¿,¬Ôö,²¾«­°`,¶¾ÀK¼d«*·5²æÀ­¿ p = 4·$¬³$ü,³K¼d÷*Uô$¿B¼ã¯±°)®ÀK°ü,«£²´®ÀK¼d«Kø"¬Ô¶>²â³j¨c*j]jjjj`Ñ §

ÂCÑÌ5¼Éúÿ¼É«­¼É®,¯É¼*³K°¶´üÀ­²¾°)®/úÿ°)«$ÀK¿B¼·$¬Ô«­ù8½BüB½,½B¶¾¼*À­¼d³XÀT`°ÔÀ­¼É®ÀK²â¬Ô¶GÀ­¼Éùö7¼É«¥¬"ýÀKü,«K¼*ö7¼É«KÀKüB«­½,¬"À­²¾°)®/úÿ°)« −8000m ≤ x ≤ 8000m

¬Ô®x÷0 ≤ σ ≤ 1

l5¬¬"ú À­¼É«j» Ѧ%³t½¤9¬"ú ÀK¼d«jÂ¥¦%³t¯¬Ôú ÀK¼d«¾ ¥¦³t÷U9¬"ú À­¼É«j ¦ ¦/³%*ô$¿B¼¯±°)®ÀK°ü,«£²´®ÀK¼d«Kø"¬Ô¶>²â³¨c]jjjj]jjjj`ÑÂC^¾Ó5¼Éúÿ¼É«­¼É®,¯É¼ã³X°)¶¾üÀ­²¾°)®/úÿ°)«$ÀK¿B¼~·£¬«Kù8½,üB½B½B¶´¼*ÀK¼l³vÀtaD¼É«KÀK²â¯É¬¶ø¼d¶¾°¯±²¾Àv¸

wúÿ°« −8000m ≤ x ≤ 8000m¬Ô®,÷

0 ≤ σ ≤ 1lPc¬3¬"ú À­¼É«» Ѧ/³bÿ½

¬"ú À­¼É«j ¥¦³Oc¯¬Ôú ÀK¼d«]¾¥ ¦³$÷U5¬Ôú ÀK¼d«\ ¦¦³%5ô$¿B¼~¯É°®ÀK°)üB«5²´®)À­¼É«­ø"¬Ô¶²â³|¥¨ù³ ý+ 4jjj]jjjj]jjjj`^¾C

ÂCÌ'¬«K»)²¾®,¬¶¾¶´¸¬®,÷+ö7°°)«K¶´¸&«­¼d³K°¶´ø¼l÷Óæ,°"·²¾®+À­¿B¼·$¬Ô«­ù ½Bü,½B½B¶´¼'ÀK¼l³vÀô$¿B¼ãö7°ÔÀ­¼É®ÀK²â¬Ô¶YÀK¼dùöx¼d«­¬ÔÀKüB«­¼~÷¼dø²â¬"À­²¾°)®¬"ú ÀK¼d«\¦ ¦³dþ,úÿ°)« −8000m ≤x ≤ 8000m

¬®,÷0 ≤ σ ≤ 1

lc¬∆z ≈ ∆x = 200m

·5²¾ÀK¿Ks =

300m2s−1 ¬®,÷ KTs = 50m2s−1 vÿ½ ∆z ≈ ∆x = 200m·5²æÀ­¿

Ks = 600m2s−1 ¬Ô®,÷ KTs = 100m2s−1 bc¯ ∆z ≈ ∆x = 400m·5²¾ÀK¿Ks = 1200m2s−1 ¬Ô®,÷ KTs = 200m2s−1 (c÷U ∆z ≈ 100m

þ∆x = 500m

·5²æÀ­¿Ks = 300m2s−1 ¬®,÷ KTs = 50m2s−1 õô$¿B¼¯±°)®ÀK°ü,«£²´®ÀK¼d«Kø"¬Ô¶>²â³¨c]jjjj]jjjj`^¾»

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w¯É°ùöx°)®B¼É®Àã°ú£À­¿B¼%·5²´®,÷ ¬"ú À­¼É«P¦ ¦º³dþVúÿ°)« −8000m ≤ x ≤

8000m¬®,÷

0 ≤ σ ≤ 1lc¬

∆z ≈ ∆x = 200m·5²æÀ­¿

Ks =300m2s−1 ¬®,÷ KTs = 50m2s−1 vÿ½ ∆z ≈ ∆x = 200m

·5²æÀ­¿Ks = 600m2s−1 ¬Ô®,÷ KTs = 100m2s−1 bc¯ ∆z ≈ ∆x = 400m·5²¾ÀK¿

Ks = 1200m2s−1 ¬Ô®,÷ KTs = 200m2s−1 (c÷U ∆z ≈ 100mþ

∆x = 500m·5²æÀ­¿

Ks = 300m2s−1 ¬®,÷ KTs = 50m2s−1 õô$¿B¼¯±°)®ÀK°ü,«£²´®ÀK¼d«Kø"¬Ô¶>²â³|¥Ôù³ ý+ íjjjj]jjjj`^¾ÑÂC¼¥¦+ô$¿B¼'ö7°ÔÀ­¼É®ÀK²â¬Ô¶ÀK¼dù1ö7¼É«¥¬"À­üB«­¼'÷¼Éø²â¬"ÀK²´°®¬Ôú ÀK¼É« ¦¦³%úÿ°«À­¿B¼·$¬Ô«­ù

½BüB½,½B¶¾¼ºÀ­¼d³XÀdþ\úÿ°« −8000m ≤ x ≤ 8000m¬Ô®,÷

0 ≤ σ ≤ 1l©¬

∆ts = ∆ta = 1.5 st½¤

∆ts = 1.5 sþ∆ta = 0.5 s

¯∆ts = 2.5 s

þ∆ta = 0.5 s

(÷¤∆ts = 5 s

þ∆ta = 0.5 s

3ô$¿B¼¨¯É°®ÀK°)üB«²´®ÀK¼d«Kø"¬Ô¶#²â³¨côjjjj]jjjj]jjjj`^¾¾

ÂC¼¥Cô$¿B¼3ø¼d«XÀ­²´¯d¬Ô¶G¯±°ùö7°®B¼d®À£°úÀK¿B¼*ø)¼É¶´°¯É²æÀv¸",¼d¶´÷w¬Ôú ÀK¼É«5¦ ¦~³Iúÿ°«£À­¿B¼

·$¬Ô«­ù ½BüB½,½B¶¾¼ÀK¼d³XÀdþ)úÿ°« −8000m ≤ x ≤ 8000m¬®,÷

0 ≤ σ ≤ 1l9¬

∆ts = ∆ta = 1.5 st½¤

∆ts = 1.5 sþ∆ta = 0.5 s

¯∆ts = 2.5 s

þ∆ta = 0.5 s

(÷¤∆ts = 5 s

þ∆ta = 0.5 s

3ô$¿B¼¨¯É°®ÀK°)üB«²´®ÀK¼d«Kø"¬Ô¶#²â³¥"ù³ ý jjjj]jjjj]jjjj`^¾

ÂC¼¥ ¥ô$¿B¼*À­¿B«K¼d¼±ýO÷²´ù1¼d®,³K²¾°)®,¬Ô¶>¯±°)¶´÷½BüB½,½B¶¾¼*À­¼d³XÀTaD¼d«XÀ­²´¯d¬Ô¶¯±«­°)³­³$³X¼l¯À­²¾°)®/°ÔúÀK¿,¼~ö7°ÔÀK¼d®ÀK²â¬Ô¶YÀK¼Éùö7¼É«¥¬"À­üB«K¼~öx¼d«XÀ­üB«K½x¬"ÀK²´°®'¬ÔÀ

y = 0þ,úÿ°)«

0m ≤ x ≤12 000m

¬Ô®,÷0.75 ≤ σ ≤ 1

lc¬3¬Ôú ÀK¼É«»Ñ ¦/³b½¤3¬"ú À­¼É«Â ¥ ¦/³bc¯¬"ú À­¼É«\¾ ¥¦³!c÷U$¬"ú À­¼É«|¦ ¦1³%Dô$¿B¼ã¯É°®ÀK°)üB«$²¾®À­¼É«­øf¬¶>²´³j¨c1j`¥

ÂC¼¥»+ô$¿B¼3ÀK¿,«K¼d¼±ýO÷²¾ù¼d®,³X²´°®x¬Ô¶>¯±°)¶´÷½BüB½B½,¶¾¼3ÀK¼l³vÀt°)«K²É°)®)À¥¬Ô¶G¯±«­°)³­³$³X¼l¯ÀK²´°®°ÔúxÀK¿B¼$ö7°ÔÀ­¼É®ÀK²â¬Ô¶ÀK¼dùöx¼d«­¬ÔÀKüB«­¼$öx¼d«XÀ­üB«K½x¬"ÀK²´°®1¬"À

σ = 0þ"úÿ°)«[lb¬#¬"ú ÀK¼d«

» Ѧº³5ÿ½¬"ú À­¼É«Â ¥ ¦º³5¯¬"ú À­¼É«P¾ ¥¦º³5c÷U¬"ú À­¼É«¦ ¦º³%õô$¿B¼úÿüB¶´¶¿B°)«K²É°)®)À¥¬Ô¶D÷°)ù¬²¾® −20000m ≤ x ≤ 20000m

þ −20000m ≤ y ≤20000m

²â³³X¿,°"·5®!Dô$¿B¼¯±°®À­°üB«$²´®)À­¼É«­ø"¬Ô¶>²â³¨cjj]j`ÂÂC¼¥>§ô$¿B¼*À­¿B«K¼d¼±ýO÷²´ù1¼d®,³K²¾°)®,¬Ô¶>¯±°)¶´÷½BüB½,½B¶¾¼*À­¼d³XÀTaD¼d«XÀ­²´¯d¬Ô¶¯±«­°)³­³$³X¼l¯À­²¾°)®/°Ôú

ÀK¿,¼9ø)¼É«KÀK²â¯É¬Ô¶xø¼d¶¾°¯±²¾Àv¸w,¼d¶´÷¬"À

y = 0þúÿ°)«

0 ≤ σ ≤ 1l[¬\¬"ú À­¼É«[» Ѧ

³[½¤¬Ôú ÀK¼É«" ¥¦º³9c¯¬Ôú ÀK¼d«"¾¥ ¦õ³5÷U*¬Ôú ÀK¼d« ¦¦õ³ô$¿,¼%¯±°®À­°üB«²´®)À­¼É«­ø"¬Ô¶²â³ãù³ ý [½°ÀK¼*ÀK¿,¼~÷²â³XöB¶â¬¯É¼Éù¼É®À°ú#À­¿B¼¿B°)«K²É°)®)À¥¬Ô¶³­¯É¬¶¾¼²´®Qc÷U©jjjj]jjjj]jjjj`Ñ

ÂC¼¥ Âô$¿B¼3·£¬«Kù ½BüB½,½B¶¾¼3À­¼d³XÀ£²´®ÀK¿,«K¼d¼3³Kö,¬"À­²´¬¶7÷B²¾ù¼É®x³X²´°®,³(aD¼É«KÀK²â¯É¬¶7¯É«K°³K³³K¼d¯À­²¾°)® °Ôú£ÀK¿B¼ö7°ÔÀ­¼É®ÀK²â¬Ô¶IÀK¼Éùö7¼É«¥¬"À­üB«K¼ö7¼É«KÀKüB«­½,¬ÔÀK²´°®¬"À

y = 0þúÿ°)«

−8000m ≤ x ≤ 8000m¬Ô®,÷

0 ≤ σ ≤ 1l]¬$¬Ôú ÀK¼d«|» Ѧ³$ÿ½¤5¬Ôú ÀK¼d«

 ¥ ¦¨³Vc¯$¬"ú À­¼É«\¾ ¥¦1³!c÷U$¬"ú À­¼É«|¦ ¦1³%Dô$¿B¼ã¯É°®ÀK°)üB«$²¾®ÀK¼d«Kø"¬¶>²´³5¦U ¨cjjjj]jjjj]jjjj`J¾

ÂC¼¥Ñ+ô$¿B¼3·£¬«Kù ½BüB½,½B¶¾¼3À­¼d³XÀ£²´®ÀK¿,«K¼d¼3³Kö,¬"À­²´¬¶7÷B²¾ù¼É®x³X²´°®,³(aD¼É«KÀK²â¯É¬¶7¯É«K°³K³³K¼d¯À­²¾°)® °ÔúIÀ­¿B¼%ø)¼É«KÀK²â¯É¬Ô¶`ø)¼É¶´°¯É²æÀv¸

w¬ÔÀy = 0

þúÿ°« −8000m ≤ x ≤8000m

¬®,÷0 ≤ σ ≤ 1

ljc¬¬"ú ÀK¼d«]»Ñ ¦³Tÿ½¤9¬"ú À­¼É«]Â¥¦%³(¯9¬"ú À­¼É«¾¥ ¦¨³Vc÷U$¬"ú À­¼É«8 ¦¦¨³Uô$¿B¼ã¯É°®ÀK°)üB«$²¾®ÀK¼d«Kø"¬¶>²´³8¥1ù³ ý 'jj`

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y = 25 000m¬Ô®x÷

0 ≤ σ ≤1lj¬¬Ôú ÀK¼É«

360 s$ÿ½¤¬"ú ÀK¼d«

540 sO¯¬Ôú ÀK¼É«

720 s$÷U¬"ú ÀK¼d«

900 s

ô$¿B¼ã¯É°®ÀK°)üB«$²¾®ÀK¼d«Kø"¬¶>²´³0.5K

jj]jjjj]NÂC¼¥+ô$¿B¼DÀ­¿B«­¼É¼±ýO÷²´ù¼É®,³K²¾°)®,¬Ô¶"·$¬Ô«­ù½Bü,½B½B¶´¼U²¾®¬®3¼d®ø²´«­°®Bù¼É®À·5²¾ÀK¿ã³XÀK«­°®B»

üB®B²â÷²´«K¼l¯À­²¾°)®,¬Ô¶Uø)¼É«KÀK²â¯É¬¶U·5²¾®x÷³X¿B¼l¬Ô«faD¼d«XÀ­²´¯d¬Ô¶I¯É«K°³K³~³X¼l¯ÀK²´°® °ú£À­¿B¼ø¼d«XÀ­²´¯d¬Ô¶B¯É°ùöx°)®B¼É®ÀD°Ôú7ÀK¿,¼5·5²¾®,÷

w¬"Ày = 25 000m

¬Ô®,÷0 ≤ σ ≤ 1

l¬`¬"ú À­¼É«

360 s¤ÿ½¤`¬Ôú ÀK¼É«

540 sUc¯`¬"ú À­¼É«

720 sN÷UU¬"ú ÀK¼d«

900 sVô$¿,¼

¯±°)®ÀK°ü,«£²´®ÀK¼d«Kø"¬Ô¶>²â³1ms−1 Òjjj]jjjj`¥

ÂC¼¥+ô$¿B¼DÀ­¿B«­¼É¼±ýO÷²´ù¼É®,³K²¾°)®,¬Ô¶"·$¬Ô«­ù½Bü,½B½B¶´¼U²¾®¬®3¼d®ø²´«­°®Bù¼É®À·5²¾ÀK¿ã³XÀK«­°®B»üB®B²â÷²´«K¼l¯À­²¾°)®,¬Ô¶9ø¼É«KÀK²â¯É¬¶·5²´®,÷³K¿B¼d¬«S°«­²d°®À­¬¶¯±«­°)³­³%³K¼d¯±ÀK²´°®°ÔúÀK¿,¼-ö7°ÔÀ­¼É®ÀK²â¬Ô¶9ÀK¼dù1ö7¼É«¥¬"À­üB«­¼ö7¼É«KÀKüB«­½,¬"À­²¾°)®úÿ°«lY¬/¬Ôú ÀK¼d«

360 s¬ÔÀ

σ = 0.44V½¤5¬"ú À­¼É«

540 s¬"Àσ = 0.37

!¯5¬"ú À­¼É«720 s

¬"Àσ = 0.29

÷¤*¬"ú ÀK¼d«

900 s¬"Àσ = 0.22

~ô$¿B¼¯±°®À­°üB«*²´®)À­¼É«­ø"¬Ô¶`²´³0.5K

ãô$¿B¼σ¶´¼Éø)¼É¶7ü,³K¼d÷úÿ°)«$¼d¬¯¥¿%ÀK²´ù1¼Éým³XÀK¼dö¯É°«­«K¼l³Xö7°®,÷ÀK°¨ÀK¿B¼3¿B¼É²´»¿À$°ÔúVù¬,²¾ý

ù~ü,ùø¼d«XÀ­²´¯d¬Ô¶>ø)¼É¶´°¯É²æÀv¸¬Ô¶´°®B»y = 25 000m

$½°ÔÀ­¼*ÀK¿,¬ÔÀ20 000m ≤

y ≤ 30 000mþ·5²¾ÀK¿¬÷²â³XöB¶â¬¯É¼Éù¼É®À5°ÔúYÀK¿B¼

x÷B²¾«­¼d¯±ÀK²´°®º³K¯d¬Ô¶´¼3²´®õÀK¿B¼

D¬Ô®B¼d¶´³ jjj]jjjj]jjjj`»ÂC » ¦+ô$¿B¼ø¼d«XÀ­²´¯d¬Ô¶D¯±°)ùöx°)®B¼É®À°Ôú\ÀK¿B¼·5²´®,÷

wc³X¿,¬)÷¼d÷þ

ms−1 3¬®,÷'À­¿B¼ø¼d«XÀ­²´¯d¬Ô¶G¯±°)ù1ö7°®,¼É®À£°úVÀ­¿B¼9ø)°«KÀK²â¯±²¾Àv¸ζc¯±°)®)À­°üB«¥³dþ

s−1 \¬"À σ = 0.48¬Ô®x÷t = 900 s

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Ks = 75m2s−1 g5¹Iª$)¬Ô®x÷'ªµ\±þKs = 50m2s−1 cª(¸[±þ Ks = 25m2s−1 ª()[¬Ô®x÷ Ks =

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Ks = 75m2s−1 cªµ\±þ Ks =50m2s−1 cª(¸[±þ Ks = 25m2s−1 ª()[3¬Ô®,÷ Ks = 0m2s−1 cª(H]-ô$¿B¼Z¿x¬ÔöB²´«K°P,¶¾ÀK¼d«²´³5¬öBöB¶´²¾¼l÷>þB·5²¾ÀK¿ºö_§¤C]jjjj`%§»

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°Ôú`À­¿B¼¨÷²&Gü,³X²´°®'¯É°¼-/%¯±²´¼É®À­³ü,³K¼d÷¬Ô«­¼Ks = 75m2s−1 cªµ\±þ Ks =

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p = 4¬Ô«­¼ü,³K¼d÷

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Fb9¬Ô®,÷∆z ≈ 100m

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