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64
()
11
wA xH x
′′
∆= − −
, (14.6)
()
1
,
2
2
1
2
xx
dw K
Hx
dx
x
′
τ=
µ
=
′
π
, (14.7)
2
2
1
2
4
v
A
K
µ
−
β
=π
— .
1
22
2
2
1
24 2 2
AvK vK v vK
g
−
π
==−=
µµγ
β
, (14.8)
2
2
1
v
γ= −
β
0
K
=
v =β.
.
64
>ey \bglh\hc ^bkehdZpbb nmgdpby kdZqdZ kf_s_gbc ih^\b`dZ
∆w = A − x1′ H ( − x1′ ) , (14.6)
Z gZijy`_gb_ h[mkeh\e_ggh_ wlhc ih^\b`dhc
τ x1 , x = µ
2
dw
dx2
=
K
2πx1′
H x′ ,( ) (14.7)
v2
µA 1 −
β2
]^_ K = 2π — dhwnnbpb_gl bgl_gkb\ghklb gZijy`_gbc.
4
Lh]^Z jZ[hlZ kh\_jrZ_fZy \ _^bgbpm \j_f_gb gZ dhgqbd_ lj_sbgu
\ kemqZ_ \bglh\hc ^bkehdZpbb jZ\gZ
1
−
π AvK vK 2 v 2
vK 2
g= = 1 − = , (14.8)
2 4 2µ β2 2µγ
v2
]^_ γ = 1− Ba wlhc nhjfmeu ke_^m_l qlh ihlhd wg_j]bb gZ dhgqbd_
β2
lj_sbgu h[jZsZ_lky \ gmev ijb K = 0 lh _klv lh]^Z dh]^Z kdhjhklv
\kiZju\Zgby v = β . Ij_^_evgZy kdhjhklv jZkijhkljZg_gby \bglh\hc
^bkehdZpbb g_ ij_\hkoh^bl kdhjhklv jZkijhkljZg_gby ihi_j_qguo
\heg \ kj_^_.
< kemqZ_ iehkdhc aZ^Zqb ihlhd wg_j]bb h[jZsZ_lky \ gmev dh]^Z
kdhjhklv \kiZju\Zgby klZgh\blky jZ\ghc kdhjhklb jZkijhkljZg_gby \heg
J_e_y \ kj_^_ Wlb \u\h^u baf_gyxlky ijb jZkkfhlj_gbb kbe kp_ie_gby
DJBL?JBB J:AJMR?GBY
Ba\_klgh qlh ih^ ^_ckl\b_f gZijy`_gbc \ur_ djblbq_kdh]h \k_
fZl_jbZeu jZajmrZxlky ihwlhfm _kl_kl\_ggh hibku\Zlv djbl_jbb jZajm
r_gby q_j_a ij_^_e ijhqghklb fZl_jbZeh\ H^gZdh \ j_Zevguo mkeh\byo
ij_^_eu ijhqghklb h^gh]h b lh]h `_ fZl_jbZeZ kms_kl\_ggh baf_gyxlky
Ihwlhfm l_hjbb hkgh\Zggu_ ihgylbb ijhqghklb dZd dhgklZglu g_ fh]ml
hibkZlv \k_ jZaghh[jZab_ ih\_^_gby fZl_jbZeZ \ ijhp_kk_ jZajmr_gby
< ]h^m =jbnnblk ij_^iheh`be qlh jZajmr_gb_ khijh\h`^Z_l
ky h[jZah\Zgb_f lj_sbg k dhlhjufb k\yaZgu ^_n_dlu wg_j]bb Djbl_jbc
=jbnnblkZ hkgh\Zg gZ jZ\_gkl\_ wg_j]bb ihlj_[ey_fhc lj_sbghc gZ ijb
jZs_gb_ __ ^ebgu b ih^\h^hf f_oZgbq_kdhc wg_j]bb \g_rgbfb bklhqgb
dZfb
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