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182

IHJY>HD <UIHEG?GBY J:;HLU

1.Ihke_ \dexq_gby gZkhkZ, ih^Zxs_]h \h^m \ gZihjguc [Zd, hldjulb_f j_]mebjmxs_c aZ^\b`db gZ iblZxs_f ljm[hijh\h^_ mklZgZ\eb\Z_lky g_h[oh^bfuc jZkoh^ \h^u \ ]b^jZ\ebq_kdhf ehld_.

2.K bkihevah\Zgb_f baf_jbl_evgh]h \h^hkeb\Z, mklZgh\e_ggh]h \ f_jghf ehld_, baf_jy_lky jZkoh^ \h^u (ih^jh[g__ kf. jZ[hlm 4) b ^Zggu_ ih baf_j_gbx jZkoh^Z aZghkylky \ lZ[ebpm 18.1.

 

 

 

 

 

LZ[ebpZ 18.1

 

 

 

 

 

 

 

Hlf_ldZ

Hlf_ldZ

 

GZihj

gZ

Baf_j_gguc

 

\_jrbgu

k\h[h^ghc

 

\h^hkeb\_,

 

jZkoh^ \h^u,

 

lj_m]hevgh]h

ih\_joghklb

2 - 1, kf

 

Q, e/k

 

baf_jbl_evgh]h

\h^u

i_j_^

 

 

 

 

\h^hkeb\Z, 1, kf

\h^hkeb\hf, 2 ,

 

 

 

 

 

kf

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3.K ihfhsvx aZl\hjZ - `Zexab, mklZgh\e_ggh]h \ dhgp_ ehldZ \ gb`g_f [v_n_, mklZgZ\eb\Z_lky ]em[bgZ ihlhdZ h[, g_h[oh^bfZy ^ey h[jZah\Zgby hlh]gZggh]h kh\_jr_ggh]h ]b^jZ\ebq_kdh]h iju`dZ.

4.Ijb mklZgh\b\r_fky ^\b`_gbb \h^u gZ [ukljhlhd_ b]hevqZluf mjh\g_f_jhf nbdkbjmxlky hlf_ldb ^gZ fh^_eb b k\h[h^ghc ih\_joghklb gZ \oh^_, \ k_q_gbyo 1-1, 2-2, 3-3 b gZ \uoh^_ k \h^hkdZlZ. H^gh\j_f_ggh baf_jyxlky jZkklhygby hl \oh^gh]h k_q_gby gZ \h^hkdZl_ ^h k_q_gbc 1-1, 2-2, 3-3

b \uoh^gh]h k_q_gby. JZkklhygb_ L hl \oh^gh]h ^h \uoh^gh]h k_q_gby _klv ^ebgZ

\h^hkdZlZ.

183

Ih jZaghklb hlf_lhd hij_^_eyxlky ]em[bgu h \ khhl\_lkl\mxsbo k_q_gbyo b mdehg ^gZ [ukljhlhdZ i . J_amevlZlu baf_j_gbc b ih^kq_lh\ aZghkylky \ lZ[ebpm 18.3.

 

 

 

 

LZ[ebpZ 18.3

 

 

 

 

 

 

F_klh

JZkklhygb_ hl

Hlf_ldZ

Hlf_ldZ ^gZ

=em[bgZ

 

baf_j_gby

\oh^gh]h

k\h[h^ghc

\h^hkdZlZ,

h =1 -

 

 

k_q_gby

ih\_joghklb,

 

 

 

 

\h^hkdZlZ

1

 

 

 

 

 

 

 

 

 

JZaf_jghklv

kf

kf

kf

kf

 

 

 

 

 

 

 

GZ \oh^_

 

 

 

 

 

\h^hkdZlZ

 

 

 

 

 

 

 

 

 

 

 

< k_q_gbb 1-1

 

 

 

 

 

 

 

 

 

 

 

< k_q_gbb 2-2

 

 

 

 

 

 

 

 

 

 

 

< k_q_gbb 3-3

 

 

 

 

 

 

 

 

 

 

 

GZ \uoh^_ k

 

 

 

 

 

\h^hkdZlZ

 

 

 

 

 

 

 

 

 

 

 

>ebgZ \h^hkdZlZ L =

kf

 

 

 

H;J:;HLD: HIULGUO >:GGUO

1. <uqbkeyxl mdehg ^gZ \h^hkdZlZ

i = sinE , l._.

\o \uo

(18.1)

i

L

 

184

2. <uqbkeyxl djblbq_kdbc mdehg ^gZ ih nhjfme_

id

Fd g

(18.2)

DC

2b

 

 

 

 

d

 

]^_ b– rbjbgZ fh^_eb (ehldZ) [ukljhlhdZ; $ - kfhq_gguc i_jbf_lj ijb ]em[bg_ ihlhdZ, jZ\ghc djblbq_kdhc ]em[bg_ hd, dhlhjZy \uqbkey_lky ih nhjfme_,

hd

D

q

2

 

3

 

(18.3)

g

 

 

 

 

 

F

b 2hd

(18.4)

D # 1- dhwnnbpb_gl DhjbhebkZ (dhjj_dlb\ dbg_lbq_kdhc wg_j]bb); g – mkdhj_gb_ kbeu ly`_klb; Kd – dhwnnbpb_gl R_ab, \uqbkey_fuc ijb djblbq_kdhc ]em[bg_ ih nhjfme_

 

 

1

1

 

K

d

 

R 6 ,

(18.5)

n

 

 

 

 

 

 

 

n – dhwnnbpb_gl r_jhoh\Zlhklb \h^hkdZlZ, agZq_gb_ dhlhjh]h mklZgZ\eb\Zxl ih kijZ\hqguf ^Zgguf [30,35]; R – ]b^jZ\ebq_kdbc jZ^bmk, hij_^_ey_fuc ih nhjfme_ ijb djblbq_kdhc ]em[bg_,

R

d

Zd

,

(18.6)

Fd

 

 

 

 

 

 

 

&d – iehsZ^v `b\h]h k_q_gby, ijb djblbq_kdhc ]em[bg_

185

Zd hdb ,

(18.7)

q - m^_evguc jZkoh^, jZ\guc Q/b .

J_amevlZlu \uqbke_gbc aZghkyl \ lZ[ebpm 18.4.

 

 

 

 

 

 

 

LZ[ebpZ 18.4

 

 

 

 

 

 

 

 

 

 

OZjZdl_jbklbdZ

_evgucM^ jZkoh^, q

Djblbq_kdZy ]em[bgZ __gbyqk , h

IehsZ^v `b\h]hk_q_gby, &

_Kfhqgguc __jbfilj, $

=b^jZ\ebq_kdbc jZ^bmk, R

Dhwnnbpb_gl _,abRK

 

Djblbq_kdbc ,mdehg i

 

 

 

 

 

d

 

 

 

 

 

 

 

d

 

 

d

 

 

 

 

 

 

 

 

 

 

d

 

 

 

 

 

 

d

 

 

 

 

d

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

JZaf_jghklv

f2/k

f

f2

f

f

f0,5/k

 

 

 

 

 

 

 

 

 

 

 

 

 

AgZq_gby

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3. Hij_^_eyxl agZq_gby ghjfZevghc ]em[bgu h0 ]jZnbq_kdbf kihkh[hf, bkihevamy mjZ\g_gb_ b

Q ZC Ri ,

(18.8)

aZf_j_ggu_ agZq_gby jZkoh^Z \h^u Qi rbjbgu [ukljhlhdZ b b mdehgZ [ukljhlhdZ i. >ey wlh]h aZ^Zxlky ijhba\hevgufb agZq_gbyfb ]em[bgu h0 , ih dhlhjhc \uqbkeyxl iZjZf_lju, \oh^ysb_ \ nhjfmem (18.8), b jZkoh^ \h^u Q, ^h[b\Zykv jZ\_gkl\Z \uqbke_ggh]h jZkoh^Z baf_j_gghfm jZkoh^m. J_amevlZlu \uqbke_gbc aZghkyl \ lZ[ebpm 18.5.

 

 

 

 

 

186

 

 

 

 

 

LZ[ebpZ 18.5

 

 

 

 

 

 

 

=em[bgZ,

IehsZ^v

Kfhq_gguc

=b^jZ\ebq_

Dhwnnbpb_

<uqbke_g

 

h, f

k_q_gby,

i_jbf_lj,

kdbc

gl R_ab,

guc

 

 

&, f2

$, f

jZ^bmk, R, f

K, f0,5/k

jZkoh^, Q,

 

 

 

 

 

 

f3/k

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Ih ^Zgguf lZ[ebpu 18.5 kljhblky ]jZnbd k\yab Q = f(h) gZ fbeebf_ljh\hc

[mfZ]_, jbk. 18.3.

Jbk. 18.3

Ih baf_j_gghfm jZkoh^m Qbaf kgbfZxl k ]jZnbdZ bkdhfmx ghjfZevgmx

]em[bgm gZ \h^hkdZl_ h0.

4. KjZ\gb\Zxl hiulgh_ b \uqbke_ggh_ agZq_gby mdehgh\ ^gZ fh^_eb

[ukljhlhdZ i c djblbq_kdbf mdehghf Id; ]em[bgu gZ \oh^_ [ukljhlhdZ h\o k

djblbq_kdhc ]em[bghc hd, lZd dZd gZ \oh^ghc qZklb [ukljhlhdZ kihdhcguc ihlhd

i_j_oh^bl \ [mjguc b wlh y\e_gb_ khijh\h`^Z_lky i_j_oh^hf q_j_a djblbq_kdmx

187

]em[bgm; ]em[bgu gZ \uoh^_ [ukljhlhdZ h\uo k ghjfZevghc ]em[bghc h0 , lZd dZd \ ij_^_e_ g_jZ\ghf_jgh_ ^\b`_gb_ \h^u \ujh`^Z_lky \ jZ\ghf_jgh_, dhlhjhfm k\hckl\_ggZ ghjfZevgZy ]em[bgZ. J_amevlZlu \ghkyl \ lZ[ebpm 18.6.

 

 

 

 

 

 

LZ[ebpZ 18.6

 

 

 

 

 

 

 

 

Ghf_j

Mdehg

Djblbq_k

=em[bgZ

Djblbq_kdZ

=em[bgZ

GhjfZev

 

hiulZ

^gZ

dbc

\h^u gZ

y ]em[bgZ,

\h^u gZ

gZy

 

 

[ukljhlh

mdehg, id

\oh^_,

hd

\uoh^_,

]em[bgZ,

 

 

dZ, i

 

h\o

 

h\uo

h0

 

JZaf_jg

 

 

 

 

 

 

 

hklv

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

5. Hij_^_eyxl ]em[bgu hl l_hj_lbq_kdhc djb\hc k\h[h^ghc ih\_joghklb \ k_q_gbyo 1-1, 2-2, 3-3 b \uoh^ghf ih \ujZ`_gbx, ihemqZ_fhfm gZ hkgh\_ mjZ\g_gby ;_jgmeeb

hl

 

q

 

 

,

 

(18.9)

 

 

 

 

 

M 2g Z

H0

 

 

 

 

]^_ Z – jZaghklv f_`^m hlf_ldZfb ^gZ gZ ]j_[g_ \h^hkeb\Z b \

jZkkfZljb\Z_fhf k_q_gbb gZ m^Ze_gbb l hl \oh^gh]h k_q_gby, Z = \o

- ^g;

 

 

 

G

DV 2

 

G0 - iheguc gZihj G0

 

0

; G - ]_hf_ljbq_kdbc gZihj gZ \h^hkeb\_, G =

 

 

 

 

 

 

2g

 

\h^ - \o; V0 – kj_^gyy kdhjhklv \ k_q_gbb ihlhdZ gZ ih^oh^_ d [ukljhlhdm

V

q

,

 

 

 

 

(18.10)

 

 

 

 

 

0

J H

 

 

 

 

 

M - dhwnnbpb_gl kdhjhklb, agZq_gb_ dhlhjh]h fh`gh hij_^_eylv ih mjZ\g_gbx

188

M = 1,02 – (0,038 – 0,05i)

Z

.

(18.11)

 

 

hd

 

Jbk. 18.4

J_amevlZlu jZkq_lZ \ghkyl \ lZ[ebpu 18.7 b 18.8.

 

 

 

 

 

 

 

 

LZ[ebpZ 18.7

 

 

 

 

 

 

 

 

 

 

 

Hlf_ldb

 

G= \h^

J = \o -

q

V0

G0

 

\h^

\o

 

- \o

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

LZ[ebpZ 18.8

 

 

 

 

 

 

 

IZjZf_lju

 

 

K_q_gby

 

 

 

 

 

 

 

 

 

 

1-1

2-2

 

3-3

\uo

 

 

 

 

 

 

 

 

Z, kf

 

 

 

 

 

 

 

 

 

 

 

 

 

M

 

 

 

 

 

 

 

 

 

 

 

 

 

hl, kf

 

 

 

 

 

 

6. Ih hiulguf ^Zgguf \ fZkrlZ[_ \uq_jqb\Zxl gZ fbeebf_ljh\hc [mfZ]_

ko_fm [ukljhlhdZ k ebgbyfb djblbq_kdhc (D-D) b ghjfZevghc (N-N) ]em[bg b ih

189

hiulguf b l_hj_lbq_kdbf ]em[bgZf \ k_q_gbyo kljhyl h[_ djb\u_ k\h[h^ghc ih\_joghklb \h^u gZ \h^hkdZl_ (hiulgmx b l_hj_lbq_kdmx). Hij_^_eyxl lbi djb\hc.

7. < p_eyo khihklZ\e_gby djb\uo \uqbkeyxl hldehg_gby \ % hj^bgZl 'h l_hj_lbq_kdhc djb\hc k\h[h^ghc ih\_joghklb \h^u hl hj^bgZl hiulghc djb\hc b j_amevlZlu \ghkyl \ lZ[ebpm 18.10

'h

hl h

100

§

hl

1·100

 

(18.12)

 

 

 

 

%

h

¨

 

¸

 

 

 

 

 

 

© h

¹

 

 

 

 

 

 

 

 

 

 

 

 

 

LZ[ebpZ 18.10

 

 

 

 

 

 

 

 

 

 

 

IZjZf_lju

 

 

 

 

 

K_q_gby

 

 

 

 

 

1-1

 

 

2-2

 

3-3

\uo

 

 

 

 

 

 

 

 

 

 

 

 

hl, kf

 

 

 

 

 

 

 

 

 

 

h, kf

 

 

 

 

 

 

 

 

 

 

'h%

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

J:;HL: 19

BAMQ?GB? ><B@?GBY <H>U < IJ?>?E:O ><MOKLMI?GQ:LH=H I?J?I:>: DHEH>?AGH=H LBI: B IJH<?JD: MKEH<BC KHHL<?LKL<BY FH>?EB KHHJM@?GBY IJHIMKD:?FHFM J:KOH>M <H>GH=H IHLHD:

P_ev jZ[hlu: 1. GZ[ex^_gb_ ^\b`_gby ihlhdZ gZ fh^_eb i_j_iZ^Z ijb jZaebqguo k[jhkguo jZkoh^Zo, dh]^Z ^ebgZ klmi_g_c ^hklZlhqgZ, b \ kemqZ_, dh]^Z ^ebgZ bo g_^hklZlhqgZ.

2. Ih^[hj hkgh\guo jZaf_jh\ fh^_eb i_j_iZ^Z, \ gZb[hevr_c f_j_ khhl\_lkl\mxsbo hiulghfm jZkoh^m \ mkeh\byo ghjfZevghc jZ[hlu i_j_iZ^Z.

190

3.<uiheg_gb_ baf_j_gbc, g_h[oh^bfuo ^ey ihkljh_gby ijh^hevgh]h ijhnbey k\h[h^ghc ih\_joghklb ihlhdZ \ ij_^_eZo i_j_iZ^Z ijb hiulghf jZkoh^_.

4.Ijh\_jdZ gZ hkgh\_ ]b^jZ\ebq_kdh]h jZkq_lZ hkgh\guo jZaf_jh\ fh^_eb i_j_iZ^Z ijb hiulghf jZkoh^_ \h^u.

H;SB? K<?>?GBY

I_j_iZ^u mkljZb\Zxlky gZ dZgZeZo, ijhe_]Zxsbo gZ f_klghklb k [hevrbf mdehghf. ;eZ]h^Zjy mkljhckl\m i_j_iZ^Z fh`gh mf_gvrblv \_ebqbgm mdehgZ ^gZ dZgZeZ b l_f kZfuf kgbablv \ g_f kdhjhklv ^\b`_gby \h^u. Bgh]^Z i_j_iZ^u \oh^yl \ dhfie_dk ]b^jhl_ogbq_kdbo khhjm`_gbc jZaebqgh]h gZagZq_gby. Ijb khhjm`_gbb Z\lhfh[bevguo ^hjh] i_j_iZ^u ijbf_gyxlky \ dx\_lZo gZ dhkh]hjZo, gZ \uoh^_ ihlhdZ ba-ih^ fhklh\ b ljm[, ijb k[jhk_ \h^u ba \h^hhl\h^guo dZgZeh\ \ ihgb`_ggu_ f_klZ b l.i. < aZ\bkbfhklb hl \ukhlu iZ^_gby f_klghklb i_j_iZ^u fh]ml [ulv h^ghklmi_gqZlufb b fgh]hklmi_gqZlufb, dheh^_agh]h b [_kdheh^_agh]h lbiZ. < f_klghklv emqr_ \ibku\Zxlky i_j_iZ^u dheh^_agh]h lbiZ.

>\moklmi_gqZluc i_j_iZ^ dheh^_agh]h lbiZ ij_^klZ\e_g gZ jbk. 19.1.

?]h hkgh\gufb we_f_glZfb y\eyxlky: Z) \oh^gZy qZklv, ij_^klZ\eyxsZy kh[hc h[uqgh \h^hkeb\ k rbjhdbf ihjh]hf beb \h^hkeb\ ijZdlbq_kdh]h ijhnbey; [) kl_gdZ iZ^_gby j, dhlhjZy fh`_l [ulv \_jlbdZevghc, gZdehgghc b djb\hebg_cghc; _z \ukhlZ gZagZqZ_lky jZ\ghc 0,3-1,0 f, Z bgh]^Z b ^h 3 f b dhgdj_lgh aZ\bkbl hl f_klguo mkeh\bc, l._. hl \hafh`ghklb \ibkZlv khhjm`_gb_ \ f_klghklv; \) \h^h[hcgZy qZklv (\h^h[hc) ijh_dlbjm_lky ]hjbahglZevghc, gh fh`_l [ulv b k ijyfuf mdehghf; \ dhgp_ \h^h[hy mkljZb\Z_lky \h^h[hcgZy kl_gdZ jkl, dhlhjZy ij_^klZ\ey_l kh[hc qZs_ \k_]h \h^hkeb\ ijZdlbq_kdh]h ijhnbey; ]) \uoh^gZy qZklv ij_^klZ\e_gZ \h^h[hcguf dheh^p_f k mklmihf (beb \h^h[hcghc kl_gdhc).

Jbk. 19.1

191

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