Механика очага землятресения. Спецкурс. Воронина Е.В. - 70 стр.

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68
()
1
2
sin 1
~
2
nc
tc
c
av U t
uHtt
tt
VF
φ
−−
α
, (15.10)
()
3
1
2
2
1
~sin
2
nS c
tc
c
Uv aB t
Ht t
tt
VF
µ
τ−
φ
α
. (15.11)
()
33
lim
+τ=
2
22
242 2242
322
1
sin cos
4
nc n
Sn
n
S
vat v
BU RvV
v
UV BF



πµβ

αφ


β
α




. (15.12)
0φ=
2
π
φ=
() ()
1
,0
d
yz yz c
xx
′′
σ=σ+σ, (16.1)
68

     >ey ©Zglbiehkdboª dhfihg_gl
                              avnU sin φ tc             1
                    ut ~ −                                  H (t − tc ) ,       (15.10)
                               αVF 2
                                    1    2            t − tc

                              µUvn aBS               tc    1
                   τt 3 ~ −                  sin φ               H (tc − t ) .   (15.11)
                              VF
                                   1
                                       2α2           2    tc − t
     Kbg]meyjghklv ©iehkdboª dhfihg_gl gZijy`_gby bkq_aZ_l dh]^Z
kdhjhklv jZkijhkljZg_gby jZaju\Z klZgh\blky jZ\ghc kdhjhklb jZkijh
kljZg_gby \heg J_e_y Z ©Zglbiehkdboª — dh]^Z kdhjhklv jZkijhkljZg_gby
jZaju\Z jZ\gZ kdhjhklb ihi_j_qguo \heg \ kj_^_
      Ihlhd wg_j]bb gZ _^bgbpm ^ebgu njhglZ jZajmr_gby jZ\_g
                        J = lim ∫ ( τ3Q∆XQ + τW 3∆XW )GQ =

       πµβ2vn a 2tc  2  vn  4 2                              
                              2
                                         1
     = 3 2 2         BS   U sin φ − R   α 2vn 2V 4 cos 2 φ  .              (15.12)
      4α U V BS F      β              vn                  
      Kf_s_gby ijb φ = 0 iheghklvx khhl\_lkl\mxl ©iehkdhcª aZ^Zq_
Ijb φ = π — qbkluc ©Zglbiehkdbcª kemqZc J_amevlbjmxsZy nhjfZ lj_
         2
sbgu ijb[ebabl_evgh hibku\Z_lky weebikhf [hevrZy b fZeZy hkb dhlh
jh]h m\_ebqb\Zxl k\hx ^ebgm kh kdhjhklyfb jZkijhkljZg_gby ihi_j_qguo
\heg b \heg J_e_y


     E_dpby  
     KBEU KP?IE?GBY G: DHGP:O J:AJU<:
      Kbeu kp_ie_gby jZkij_^_e_gu ih \gmlj_gg_c klhjhg_ jZaju\Z \ h[
eZklb dhgpZ lj_sbgu b gZijZ\e_gu \ klhjhgm ijhlb\hiheh`gmx ^_ckl
\bx \g_rgbo gZijy`_gbc
      JZkkfhljbf \bglh\mx ^bkehdZpbx \ ^\b`ms_cky kbkl_f_ dhhj^b
gZl H[s__ gZijy`_gb_ gZ ih\_joghklb jZaju\Z fh`gh ij_^klZ\bl \ \b^_
                              σ yz ( x′,0 ) = σ yz d + σc ( x1′ ) ,               (16.1)