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6. ??????????? ???????? (?????????????????) ?????? ?????????? ??????? ????????? ??????? ?????????? ????????????
???????? ??????: ????????-??????? ????????? ??????? ????????? ???????? ????? ????? ??????? ??????? 2100?2100 ??, ??????? ????????? 3150 ??, ??????? ???????? ??? ???????? P_?=323.05 ???<R. ?????????????? ???????? ??????? ?????????? ????????????? ??????????????? ??????????? (II ? V ????) ? ???????? ?????????? (III ? IV ????), ?????????? ??????? ?????????? ????.
?????? ? ???????????? ????????? ???????????????? ??????? ??????? ??????????????????????? ???????? ?????????????? 3,5 ???????? 5,0 ???????? 7,5???????? 12,0 ???????? ????????????? ??????d=27,7 ??d=27,7 ??P, ????P, ????0,00,7230,00,730P, ???S, ??P, ???S, ??500,718500,7271000,7141000,7230,000,002000,7072000,720500,45500,514000,6984000,7181000,911001,081501,371501,632001,832002,202502,312502,823002,833003,743503,453505,124004,384008,17
??? ??????? ????? (1-?).
?????????? ??????? ????? ??????????????? ???????? s_(zp,i)
??????? ??????????? ??????? ???????? ????? s_(zp,?) ??????????????? ??? ???????? ?????????? ??? z = 0:
?s ?_(zp,?)= ? -? s?_(zg,?) = 323.05- 51.79= 271.26 ???
????? ??????????? ?????? ???????? ?? ??????? ?s ?_(zp,i)= s_(zp,o) �a_i ??? ????????? ?????? z_i ????????????? ?? ??????? ??????????. ???????????? a_i (??????? 1.1) ??? ??????? ??????? ??????? ??????? ? ??????????? ?? ????????? ????? ?????????? l ? ?????? ?????????? b, ?? ???? ?=l/b=1-??? ???????? ???????? ?????????? ? ????????? ?=2z/b (?????? ???????). ?????????? ?????????????? ????????????? ????? ?????? ?????????.
????? ?????????? ??????? ? ?????????? ???? ?????????? s_zp , ?0,2s?_zg ? ??????????????? s_zp ???????? ????????? ??????????? ???????, ????? ???? ? ???????? ??????? (i-??) ?????????? ???? ???????? s_(zg,i) ?? ???????????? ???? ??????????? ????? ??????? ? ????????? ????????? ? ????? ????? ?????? ???????? s_z^(????.)=s_zg+s_zp, ????? ? ?????????? ???????? ?????????? ???????? s_zp ?? ???????????? ??????????. ??? ????????? ???????? ???????? ????????? ?????????? ?s_(zp,i)=s_z^(????.)-s_zg ? ??????????????? ??? ???????? ????????? ????????????? ?????????? ? ?? ?????????????? ?????? ??? ?????? s ?? ??????? ????????? ???????, ??????? ?????????? ??? ??????? ?????????????? ????????????? m_0, ? m?_v ? E
?? ??????????? ?????????????? ? ????????? ????????? (???????, ??????????? ? ???????? ?????? ???????) ???????? ??????????????? ???????, ??????? ???????????? ??? ??????????? ?????????????? ?????????????.
?????????????? ?????????
??????? 7.5 ? - IV ???? (????? ?????? ??????? ????????? ?????????? ?????)
??????????? ???????????:
m_(0,IV)=(e_1-e_2)/(s_z^(????.)-s_zg )=(0.714-0.709)/(163.11-97.46)=0.000076 ?????^(-1)
????????????? ??????????? ???????????:
m_(v,IV)=m_(0,IV)/(1+e_1 )=0.000076/(1+0.714)=0.000044?????^(-1) ?????? ????? ??????????: E_IV=�/m_(v,IV) =0.8/0.000044=18182 ???
?????????????? ?????????
??????? 12 ? - V ???? (????? ???????????)
??????????? ???????????:
m_(0,V)=(e_1-e_2)/(s_z^(????.)-s_zg )=(0.7199-0.719)/(220,1-212.61)=0,00012?????^(-1)
????????????? ??????????? ???????????:
m_(v,V)=m_(0,V)/(1+e_1 )=0.00012/(1+0.7199)=0.00007?????^(-1) ?????? ????? ??????????: E_V=�/m_(v,V) =0.8/0.00007=11428 ???
????????? ?????????
??????? 3,5 ? (II ???? - ?????? ???????) ??????? ?????? d=27,7 ??
?s_z=200-100=100 ???; ?S=1.83-0.91=0.92 ??=0,092 ??
E_II=?(1-?^2 )d (?s_z)/?S=0.78(1-?0,25?^2 )27,7 100/0,092=22017 ???
????????? ?????????
??????? 5 ? (III ???? - ???????? ??????????????) ??????? ?????? d=27,7 ??
?s_z=200-100=100 ???; ?S=2,2-1,08=1,12 ??=0,112 ??
E_III=?(1-?^2 )d (?s_z)/?S=0.78(1-?0,25?^2 )27,7 100/0,112=18085,4 ???
?????????? ??????.
?????? ??????????? ? ?????? ????????? ???? ? ??????????? ? ???????? ????????? ????? H_c ?????? ? ?????? ????????? ???? ???????????? ?? ?????? ???????? ? ???? ???????????? ????? ?????? ? ????????. ??????? ??????? ????????????? ???? h ???????????? ????? ?= 27/b
? ??????????????? ??? ????? z, ????????? - ??????????? ?? ??????? ?????????? ???? (??? ?????? ??? ???????) ?? ??????? ?????????? ??????? ????????????? ????.
??? ???????? ????? (???1-?).
?????????? ??????? ????? ??????????????? ???????? s_(zp,i)
II ???? - ?????? ??????? ( 4 ???????????? ?????)
S_II=((271.26+260.4)/2 0.42+(260.4+217)/2 0.42+(217+164.4)/2 0.42+(164.4+135.63)/2 0.28) 0.8/22017==(111.6+99.6+79.4+42)0.0000363=0.012 ?=1.2 ??
III ???? - ???????? ?????????????? (1 ???????????? ????)
S_III=(135.63+110.4)/2 0.3 0.8/18085,4=0,0054 ?=0,5 ??
IV ???? - ????? ?????? ??????? ????????? ?????????? ????? ( 8 ???????????? ?????) S_IV=((110.4+91.14)/2 0.35+(91.14+69.7)/2 0.42+(69.7+54.52)/2 0.42+(54.52+43.4)/2 0.42+
+(43.4+35.5)/2 0.42+(35.5+29.3)/2 0.42+(29.3+24.7)/2 0.42+(24.7+20.89)/2 0.42)0.8/18182=
=(35.3+33.7+26.1+20.5+16.56+13.6+11.34+9.5)0.000044=0.0073 ?=0,73 ??
????????? ??????: S=1.2+0.5+0.73=2.43 ??<S_(????.)=10 ?? (?? ???? 2.02.01-83, ????.4.
??? ?????????? ????? (??? 3-?).
?????????? ??????? ????? ??????????????? ???????? s_(zp,i)
??????? ??????????? ??????? ???????? ????? s_(zp,?) ??????????????? ??? ???????? ?????????? ??? z = 0:
?s ?_(zp,?)= ? -? s?_(zg,?) = 293.5 - 51.79= 241,71???
????? ??????????? ?????? ???????? ?? ??????? ?s ?_(zp,i)= s_(zp,o) �a_i ??? ????????? ?????? z_i ????????????? ?? ??????? ??????????. ???????????? a_i (??????? 1.1) ??? ??????? ??????? ??????? ??????? ? ??????????? ?? ????????? ????? ?????????? l ? ?????? ?????????? b, ?? ???? ?=l/b=1-??? ???????? ???????? ?????????? ? ????????? ?=2z/b (?????? ???????). ?????????? ??????.
?????? ??????????? ? ?????? ????????? ???? ? ??????????? ? ???????? ????????? ????? H_c ?????? ? ?????? ????????? ???? ???????????? ?? ?????? ???????? ? ???? ???????????? ????? ?????? ? ????????. ??????? ??????? ????????????? ???? h ???????????? ????? ?= 27/b
? ??????????????? ??? ????? z, ????????? - ??????????? ?? ??????? ?????????? ???? (??? ?????? ??? ???????) ?? ??????? ?????????? ??????? ????????????? ????.
II ???? - ?????? ??????? ( 3 ???????????? ?????)
S_II=((241.71+232.04)/2 0.48+(232.04+193.4)/2 0.48+(193.4+152,3)/2 0.43) 0.8/22017=
=(113.7+102,1+74,32)0.0000363=0.0105 ?=1.05 ??
III ???? - ???????? ?????????????? (1 ???????????? ????)
S_III=(152,3+127,4)/2 0.3 0.8/18085,4=0.0018 ?=0,18 ??
IV ???? - ????? ?????? ??????? ????????? ?????????? ????? ( 7 ???????????? ?????) S_IV=((127,4+108,5)/2 0.23+(108,5+81,20)/2 0.48+(81,20+62,12)/2 0.48+(62,12+48,60)/2 0.48+
+(48,60+38,70)/2 0.48+(38,7+31,66)/2 0.48+(31,66+22,1)/2 0.48)0.8/18182=
=(27,1+45,5+34,4+26,6+20,9+16,8+13,86)0.000044=0,0081 ?=0,81 ??
????????? ??????: S=1.05+0.18+0.81=2,04 ??<S_(????.)=10 ?? (?? ???? 2.02.01-83, ????.4.
??? ?????????? ????????? ?????????, ???????? ????? (??? 1-?).
?????????? ??????? ????? ??????????????? ???????? s_(zp,i)
??????? ??????????? ??????? ???????? ????? s_(zp,?) ??????????????? ??? ???????? ?????????? ??? z = 0:
?s ?_(zp,?)= ? -? s?_(zg,?) = 308.5 -110.5= 198 ???
????? ??????????? ?????? ???????? ?? ??????? ?s ?_(zp,i)= s_(zp,o) �a_i ??? ????????? ?????? z_i ????????????? ?? ??????? ??????????. ???????????? a_i (??????? 1.1) ??? ??????? ??????? ??????? ??????? ? ??????????? ?? ????????? ????? ?????????? l ? ?????? ?????????? b, ?? ???? ?=l/b=1-??? ???????? ???????? ?????????? ? ????????? ?=2z/b (?????? ???????). ?????????? ??????.
?????? ??????????? ? ?????? ????????? ???? ? ??????????? ? ???????? ????????? ????? H_c ?????? ? ?????? ????????? ???? ???????????? ?? ?????? ???????? ? ???? ???????????? ????? ?????? ? ????????. ??????? ??????? ????????????? ???? h ???????????? ????? ?= 27/b
? ??????????????? ??? ????? z, ????????? - ??????????? ?? ??????? ?????????? ???? (??? ?????? ??? ???????) ?? ??????? ?????????? ??????? ????????????? ????.
VI ???? - ????? ??????, ??????? ????????? ?????????? ????? ( 1 ???????????? ????)
S_IV=(198+191.1)/2 0.43 0.8/18182=0.0026 ?=0,26 ??
V ???? - ????? ??????????? (6 ???????????? ?????) S_V=((191,1+158,4)/2 0.53+(158,4+119,8)/2 0.48+(119,8+88,9)/2 0.48+(88,9+66,53)/2 0.48+
+(66,53+50,91)/2 0.48+(50,91+39,8)/2 0.48)0.8/11428=
=(92,6+66,8+50+37,3+28,2+18,6)0,00007=0,02 ?=2 ??
????????? ??????: S=0,26+2=2,26 ??<S_(????.)=10 ?? (?? ???? 2.02.01-83, ????.4.
7. ??????????? ????????????????? ?????? ?????????? ??????? ?????????????? ????
??? ???????? ????? (???1-?).
?????????? ??????? ????? ??????????????? ???????? s_(zp,i)
?????? ????????????????? ?????? ????? ??????????? ??? ?????????? ??????? ????????? (?? ???????? ?????).
?s ?_(zp,?)= 271.26 ???
?????? ?????????? (???????? ???????) b=2,1 ?, (?=l/b=1-??? ???????? ???????? ??????????) ?????? ????????? ????????? ??????? ?????????????? ???? ??????????? ?? ???????:
s=h_?�m �_?�s_(zp,0)
???, m �_? - ???????????????? ???????? ?????????????? ???????????? ??????????? ? ???????? ????????? ????? H_c
???????? ?????????????? ????:
h_?=A?�b
???, A? - ??????????? ?????????????? ???? ???????????? (??????????, ????. 7) ? ??????????? ?? ???????? ?.
???????? ?=0,2.
????????? ????? ??????? ???????? ????????? ?_m.
A?_m=1.01, h_?=1.01�2.1=2.121 ??? ??? ????????? ????????, ??????? ??????? ????????? ?????
H_C=2h_?=2�2.121=4.242 ?
???? H_C ????? ???????? ???????? ???????? ?=0,2, ???????? ??? ???????????????? ????????
?? ???????:
? �=(?_(i=1)^n�??_i h_i ?)/H_C =(0.25�1.54+0.35�0.3+0.25�2.402)/4.242=0.2
????????? ???????????? ?=0,2.
??? ????????? ????????? ? s ?_(zp,?)= 271.26 ??? ? H_C=4.242 ? ?????? ??????????? ????? ??????????????? ???????? ? ?????????? ?????????? z, ??????????? ??? ?????????? m �_?
??????????? (????????????????) ???????? ?????????????? ???????????? ??????????? m �_? ???????????? ?? ???????:
m �_?=(?_(i=1)^n�?h_i m_?i z_i ?)/(2h_?^2 )
???, m_?i - ????????????? ??????????? ??????????? i-?? ???? ?????? ? ???????? ????????? ????? H_C
h_i - ???????? i-?? ????
z_i - ?????????? ?? ???????? i-?? ???? ?? ?????? ??????? ????????? ????? H_C=2h_?
????????? ????????????? ???????????? ??????????? i-??? ????????? ????? ?? ???????:
m_?i=�_i/E_i ???????????? � ?????????? ????? ???????????? ???????? ?, ??????????? ??? ?????? ??????? - 0,25; ???????? ??????????????? - 0,35; ?????? - 0,25 ?? ???????:
�=(1-?-2?^2)/(1-?)
?????? ???????:
�=(1-0,25-2�?0,25?^2)/(1-0,25)=0,83; m_(?(II))=0.83/22017=0.000039 ?????^(-1)
???????? ??????????????:
�=(1-0,35-2�?0,35?^2)/(1-0,35)=062; m_(?(III))=0.62/18085,4=0,000034 ?????^(-1)
????? ??????, ??????? ????????? ?????????? ?????:
�=(1-0,25-2�?0,25?^2)/(1-0,25)=0,83; m_(?(IV))=0.83/18182=0.000046 ?????^(-1)
???????????????? ???????? m �_?:
m �_?=(1,9�0,000039�3,472+0,3�0,000034�2,552+5,5�0,000046�1,201)/(2�?2,121?^2 )=0,000065 ?????^(-1)
?????? ????????? ?????????:
s=2,121�0.000065�271,26=0,037 ?=3,7 ??
?????????? ???????? ?????? s=3,7 ??<10 ?? - ?????????? ??????. ??????? ??????? ??????????? ????????? ????????? s=s_u
??????? ???????? ???????? ?? ??, ??? , ?????? ?????????? ??????? ?????????????? ???? -
3.7 ??, ?????? ???????????? ??????? ?????????? ???????????? (2,43??). ??? ??????????? ???, ??? ? ?????? ?????? ??????????? ????????? ??????????? ???????? ?????????? ?????? ????????? ??? ???????? ?????????? , ? ?? ?????? - ?? ???????????.
??? ?????????? ????? (??? 3-?).
?????????? ??????? ????? ??????????????? ???????? s_(zp,i)
?s ?_(zp,?)= 241.71 ???
?????? ?????????? (???????? ???????) b=2,4 ?, (?=l/b=1-??? ???????? ???????? ??????????) ?????? ????????? ????????? ??????? ?????????????? ???? ??????????? ?? ???????:
s=h_?�m �_?�s_(zp,0)
???, m �_? - ???????????????? ???????? ?????????????? ???????????? ??????????? ? ???????? ????????? ????? H_c
???????? ?????????????? ????:
h_?=A?�b
???, A? - ??????????? ?????????????? ???? ???????????? (??????????, ????. 7) ? ??????????? ?? ???????? ?.
???????? ?=0,2.
????????? ????? ??????? ???????? ????????? ?_m.
A?_m=1.01, h_?=1.01�2.4=2.424 ??? ??? ????????? ????????, ??????? ??????? ????????? ?????
H_C=2h_?=2�2.424=4.848 ?
???? H_C ????? ???????? ???????? ???????? ?=0,2, ???????? ??? ???????????????? ????????
?? ???????:
? �=(?_(i=1)^n�??_i h_i ?)/H_C =(0.25�1.54+0.35�0.3+0.25�3.008)/4.848=0.2
????????? ???????????? ?=0,2.
??? ????????? ????????? ? s ?_(zp,?)= 241.71 ??? ? H_C=4.848 ? ?????? ??????????? ????? ??????????????? ???????? ? ?????????? ?????????? z, ??????????? ??? ?????????? m �_?
???????????????? ???????? m �_?:
m �_?=(1,9�0,000039�4.078+0,3�0,000034�3.158+5,5�0,000046�1,807)/(2�?2,424?^2 )=0,000067 ?????^(-1)
?????? ????????? ?????????:
s=2,424�0.000067�241,71=0,039 ?=3,9 ??
?????????? ???????? ?????? s=3,9 ??<10 ?? - ?????????? ??????. ??????? ??????? ??????????? ????????? ????????? s=s_u
??????? ???????? ???????? ?? ??, ??? , ?????? ?????????? ??????? ?????????????? ???? -
3.9 ??, ?????? ???????????? ??????? ?????????? ???????????? (2,04??). ??? ??????????? ???, ??? ? ?????? ?????? ??????????? ????????? ??????????? ???????? ?????????? ?????? ????????? ??? ???????? ?????????? , ? ?? ?????? - ?? ???????????.
8. ?????? ???????????? ?????? ?? ???????
??? ???????? ????? (???1-?).
?????????? ??????? ????? ??????????????? ???????? s_(zp,i)
??????????????????? ?????? ?s ?_t?? ?????? ??????? t ???????????? ?? ???????:
?s ?_t=us
???, u - ??????? ????????????, ?????????????? ????? ???? ?? ???????? ????????????????? ?????? s. ??????,
u?1-8/p^2 exp?(-N)
???, N - ?????? ???????, ???????????? ?? ???????.
N=(p^2 c_?)/(4H_c^2 ) t
???????? u ? ??????????? ?? N ?????????? ? ?????????? ????. 6 , ??????? "2 ??????" ??????????? ????? ? ????????? ???????????? ?????. ?? ????????? N ??? ????????? ????????? ??????? ???????????? u (?? 0 ?? 1) ????? ????????? ????? _i, ??????????????? ????????????? ??????????????????? ?????? s_(t,i) ????? t_i ??????? ?? ???????:
t_i=(4H_c^2)/(p^2 c_? ) N=T�N_i
??? ??????????? t_i ?????????????? ??????? ???????? ???????????? ???????????? ?_v ?? ???????:
?_v=k �_?/(m �_?�?_w )
???, k �_? ? m �_? - ???????????????? ???????? ?????????????? ????????????? ?????????? ? ????????????? ???????????.
k �_?=H_c/(?_(i=1)^n�h_i/k_?i )=424.2/(154/(3�?10?^(-6) )+30/(3�?10?^(-7) )+240.2/(4�?10?^(-3) ))=2.8�?10?^(-6) ??/?
m �_?=0,000065 ?????^(-1) (??.??.7)
?_v=(2.8�?10?^(-6) )/(65�?10?^(-6)�10)=0,0043 ????^2/?
??????????? ???????????? ?_v????????????? ???????? ? ??????????? ????^2/???, ???? ? ????, ??? 1 ???= 365�24�60�60 ??????.
?_v=0,0043�365�24�60�60=135605 ????^2/??? ???????? ???????????, ???????????? ?????? ?: T=(4H_c^2)/(p^2 c_? )=(4�?424.2?^2)/(?3.14?^2�135605)=0.54
?????????? ???????????? ?????? ?? ??????? ????????????? ????? ? ????????? ?????.
uNt=T�N_???t_???s_t=u�s, ??0,0000000,100,0050.00270.0320,370,200,020.01080.1300,740,300,060.03240.3891,110,400,130.07020.8421,480,500,240.12961.5551,850,600,420.22682.7222,220,700,690.37264.4712,590,801,080.58326.9982,960,901,770.955811.4703,330,952,541.371616.4593,5150,983,491.884622.6153,6261,003,7
?? ??????????? ?????????? ???????? ?????? s=f(t)
??? ?????????? ????? (???3-?).
?????????? ??????? ????? ??????????????? ???????? s_(zp,i)
k �_?=H_c/(?_(i=1)^n�h_i/k_?i )=484.8/(154/(3�?10?^(-6) )+30/(3�?10?^(-7) )+300,8/(4�?10?^(-3) ))=3,2�?10?^(-6) ??/?
m �_?=0,000067 ?????^(-1) (??.??.7)
?_v=(3,2�?10?^(-6) )/(67�?10?^(-6)�10)=0,0047 ????^2/?
??????????? ???????????? ?_v????????????? ???????? ? ??????????? ????^2/???, ???? ? ????, ??? 1 ???= 365�24�60�60 ??????.
?_v=0,0047�365�24�60�60=148219 ????^2/??? ???????? ???????????, ???????????? ?????? ?: T=(4H_c^2)/(p^2 c_? )=(4�?484,8?^2)/(?3.14?^2�148219)=0.6
?????????? ???????????? ?????? ?? ??????? ????????????? ????? ? ????????? ?????.
uNt=T�N_???t_???s_t=u�s, ??0,0000000,100,0050.0030.0360,390,200,020.0120.1440,780,300,060.0360.4321,170,400,130.0780.9361,560,500,240.1441.7281,950,600,420.2523.0242,340,700,690.4144.9682,730,801,080.6487.7763,120,901,771.06212.7443,510,952,541.52418.2883,7050,983,492.09425.1283,8221,003,9
?? ??????????? ?????????? ???????? ?????? s=f(t)
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