Seismic -Soil -Structure - Interaction (SSSI)

1
Seismic Soil-Structure-Interaction
(SSSI) ??????? ?????????? ???????? ??? ??????? ?
??? ???????
??????? ??????? ???????????? ?????????
??????? ??????? ???? ???? ?????? 2016/ 2017
2
??????? ???????? ??? ?????? ? ????
??????? Soil-Structure Interaction
????? ???????? ? ??????? ?????? ? ??? ????????
????? ????? ????? ??? ???? ????? ?????? ?? ??????
, ???? ?????? .. ? ????? ??? ???? ???? ?????
???? ????? ????? ?????? ?? ??????? ?????? (???
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??????? ???????? ??? ?????? ? ?????? (SSI)? ????
?? ???? ????? ?????? ?? ???? ?????? ????????? .
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3
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4

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7
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8
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L 10
9
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RA 10 5 x RC 2000 5
??????? RC 1179 ? ???????? ???? ????? RA
410.55kN RB.
10
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11
(No Transcript)
12
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13
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  m ???????? 800mm ???????? ??? ????? ???????
  10.3m ????? ????? ?????? ??????? ?????? A ??
  ???? ???? ?????? 80 KN\m2 ??????? B 450KN\m2 .
  ?? ????? ???? ??? ???? ??????? . ??? ??? ??????
  ?? ?? ???? ??? ?????? ?? ?

14
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15
? ?? ????? ???? ????????? ??????? ??? ????? ??
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K ????? ?? ??? ???? ??????? B ??? ???????(m)
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h ???????
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P ????? ??? ?????? ?? ???? ????? ??????
K ???? ??????
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18

• ????? ????? ????? ??????( Winkler)
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19
2. ??? ?? ????? ?? ??????? ????????? ?? ???????
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????? ????? ?? ??? ???? ??????? Ks
??????? ??? ?????
??? ??? ???? ?????? ??????b x mb
 
?? ??? ???? ?????? ??????
Ks ????? ?? ??? ???? ??????? ??????? ?????
???? ???? B (KN\m3)
K1 ????? ?? ??? ???? ??????? ?????? ????????
?? ????? ????? ????? ?????? (300mmX300mm)
20
????? ????? ?? ??? ???? ??????? ?? ???? ????
?????? ??????? ???
??? ????? (1974)
 
 
?????? ???? ???? ???? ????? ?? ??? ?????? ????
????? ?????? ?????, ????? ??????? ???? ???? ????
?? ???? ? ??????? ??? KN/m3 ??? ????? ? 157.09
21
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(3)
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?? ???? ??????? ?????? ??????? ?? ???????
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????????? EI ? ??????? ???? ???? Ks ??? ????? .
???? ?? ????? ???? Ks ?????? (100-200) ???? ??
???? ???? ?????? ??? (15-25) ????? ????? ??????
?????? ?? ????? ???? EI
22
????? ???????? ??? ??????? Ks
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?He ?????? ????? ??????
?Hc ?????? ?????? ?? ?????? ?????? .
???????? ???? Ks' ????? ?? ??? ???? ???????
?????? ?????? ??? ????? ?????? ?p
? ???????
????
23

• ????
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  ???? ?????? ?????? ????? 150 KN\m2 ?? ???
  ????? ?????? (14x6)m ??? ??? ?????? ??? ??????
  ????? ???????? Hc 50 mm ? ???? ????? ???? ?????
  ?? ??? ???? ??????? ?????? ?? ??? ???????
  ???????? ??????? ??????? ???? ????? Ks' .

????
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  ??????? ???????? ????? ??? ??????, ???? ???????
  ??????? ??????? ?? ?????1,2,3 ???? ??
  Ks2000 KN\m3

24
????
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25
?????? ?????? ?????? ???? ?????? ?????? ???? Ks
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???? ????? ?? ??? ???? ???????? kS ????????
???
26
??????? ??????? ?????? ??????? ????????
??? ?????? ???? ??????? ?????? .
???? ?? ????? ?????? ??? ??? ???? ????? ? 0.65
????? ??? ?? ?????? ??? ???????? ???? ??? ?????
??????
27
perfectly flexible foundation on clay
perfectly flexible foundation on sand
perfectly rigid foundation on clay
perfectly rigid foundation on sand
28
?????? ???? ????? ??????
???? ????? ?????? ?????? ?????? ???? ??? 0.3
0.5 ???? ?????? 0.4 ???? ???? ?????? ???????
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29
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32

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33
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34
(No Transcript)
35
(No Transcript)
36
??????? ?????????? ???????? ??? ?????? ???????
??????!! -1 ?????(SSSI)??? ?? ????? ????????
??????? - Important -2 ?????
(SSSI) ??? ????? ???? ?????? - Vital -3?????
????? ????? (SSSI) ??? ???? ??????? Often
37
??? ????? ????????? ????????? ??????? ?? ??????
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?????? ??? ?? ???? ??? ??????? ????. ??? ????????
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?? ?????? ????? ??? . ???? ??? ??? ??? ??????
????? ??? ????????? ??????????? ??????. ????? ??
????? ???? ?????? ????(Free Field)??? ?????
?????? ,?????? ????? ??????? ??? ?????????
??????????? ?????? ??? ??????????? ???? ???
??????? ?????? (Kinematic Interaction) ???????
???? ??? ??????? ??????? (Inertial Interaction)
???????? ????? ?? ??????? ????????.
???? ????? ?????? ????(free-field) ??? ??????
???? ?? ????? ????????? ?????? ?? ?????? ???????
??? ???? ???????? ???????? ??? ???? ????(?? ????
???? ??????). ????? ??????? SSI ?????? ??
?????? ??????? ???????? ??????? ???????? ??? ???
?????. ???????? ??? SSI ???? ???????? ???
????????? ???????? ?????? ?????????? ??????? ??
???? ?????? ??????? ?????? .
????? ?? ?? (Veletsos and Meek 1974 ) ?? ???
???? ????? ???????? ??? ?????? ??????? ???? ??
???? ????? ??? ???? ????????? ???????
Vs ???? ???? ???? ?? ?????? . f ??????
??????? ?????? ??????? ?? ?????? .
h ?????? ?????? .
38
???? ?? ????? ???? ???????? T 1/f ???????
???? ??????? ??????? ??????
? ??????? ???? ????? ???????? ??????? T 0.1 n
??? n ??? ??????? ???
?? ??????? ??????? ???? ?????? ??????? h/n
?????meter 3 ???????
? ??????? ?? ??????? ???????? ??????? ????? ????
???? ???? ???? ??? ?? ????? 600 m/sec ???? ????
???? ????? ???????? ??? ?????? ??????? ??????? .
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m ???? ????? ????? ?? ?????? h ??????
?????? EI ????? ??????
? ???????
39
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40
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? ??????? ?????? ?????? 3.3 m , ??????? ????
????? ???????
41
 
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42

• ????
• ????? ???? ?????? 100m ????? ??? ???? ?????
  ????? ? ????? ???? ????? ???? 222.22 m/sec . ????
  ????? ??? ??????? ??? ???????? 3.3 m ?? ????
  ?????? ???? ????? ???? ????? ????? ?????? . ???
  ?? ?????? ??????? ?????? ?????? ?? ??? ????? ???
  ?????? 30 m ??? .

????
H/Vs 100/222.22 0.45 (??????? H100 M )
?? ?????? ?????? ??? ??? ??????? ????? ???? ????
?? ???? ????? ?????? ?? 18
?????? ??????? ?????? ??????
????? ??? ??????? ?? ??????? ????? (25)?? ??? ??
???? ??? ??????? 23 ?? ?? ????? 14
?? ??? ????? ??? ?????? 30m ????
H/ Vs 30/222.22 0.135 ???????? ?????? ??? ???
??????? (4)
??????? ??? ?? ???? ??? ??????? 5 ??? ??? ??
????? 3 ??? ??? ??? .
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?????? ??????? ???? ????? ??????? ?????? (??????
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???? ????? ?????? ??? ??????? ????? ???????
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m(10-50) .
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,???? ??? ??????? ??? ?????? ????? ????????
43
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? ????????. ???????? ??????? .
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• ????
• ????? ?? ??????? ?????? RCC ??????? (150 m) ???
  ???? ????? ??????Ac 8.5 m2? ??? ????? I92.5 m4
  . ???? ????? ? ??? ???? ??????? ?? ??????? ,?????
  ??????? ?? ??????? ????? ??????? ? ?????? ??
  ???? ??? ????? ?????? ?????????. ?????? ???? ??
  ??????? ????????? ??????? ??? ??? .
  ????? ?????? ??? ????? ????? (18 m), ???? ?????
  ???? ?? ?????? ? ????? ?????
  ??????? ????? (5), ????? ???????
  ???????? ? ????? ?????? ??????????

????
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45
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??????) 1.0 ?? ??? ????? ????? ??? ????? .
1.5 . ???? ?????? 0.25 ?? ??? ???????
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????????
46
??? ????? ????? ????? ??????? 1.47 ??
??? ?????? ??? ??? .
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?????? (75 m). ??????? ??
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??? ??? ??????? 9 m ???? ?????? ?????? 0.35
47
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  (x)

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52
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?????? ???????? ???????? ????????? ? ???? ???
??????? ?????? ,?????, ?????? ,???..... -2?????
??????? ???????? (?????? ???? ????? ?? ???????
?????? ????? ). -3???? ?? ??????? ???????? ?
??????? ???????? ???? ??????? ???? ??????? ????
?????? .
????? ??????? ????? ?? ?????? ????? ?? ?????
??????? ????? ??????? ??????????? ?? ?????
??????? ?????? ??? ????? ?????? ?? ??? ?????
???????.
??????? ???????? ?????? ???????
???? ??????? ???????? ?????? ?????
????? ??? ?????? ?????? ?????? ?? ??? ?????
?????? ?? ????? ?????? ?????? ?? ??????? ??????
????? .
?? ?????? ?????? ?????? ?????? ????? ?????? mf
???? ???????? J? ??? ??????? ?????? ????????
. m1 , J1 ?????? ???? ??????? ?????? ??????
????? m2 , J2 ?????? ???? ??????? ??????
?????? ?????? . KX , K? ??????? ??????????
?????????? ?????? .
55
???? ????? ?????? ?????? ??????? ?????? ??????
??????
56

• ????
• ?????? ?????? ?? ????? ?????? ???? ????? ??????
  ??????? ?????? ?? ??? ?????? ?????? ??? ???? ??
  ????? ?????. ???????? EI ????? ??????
  ???????(KN/M) K ???? ????? ?????? .

????
??????? ???? ????? ???? ??? ???? ????? ?? ??????
???? ????? ?????? ??????? ?????? ??? ???
57
????? ????? ?????? ??????? ??????? ??? ?????
??????
58
??? ??? ?? ????? ?????? ????? ????? ??? ?? ??
??????? ????????? 1,2
???? ????? ?????? ?????? ????? ??? ?? ?? ?????
??????? ??? 5 .
?? ???? ?????? ??? ??????? ??????? ?? ??????
??????? ?????? ????? ??? ?????? ??????? ???????
????? ???? ??? ???
59

• ????
• ????? ???? ???? ???? ??? ?????? ?? ??????? ???
  ???????? A,B ??? ??? ????? ?????? ?? ????? ?????
  ??? ????? ?? ?????? C ????? ????? ??? ???? ????
  ?????

???? ????? ?????? EI 100,000 KN . m2 ? ?????
????? A 5.0 m2 ? ????? ????? ???? ??????????
?????? G 2500 KN/M2 . ????? ????? ????? ??
?????? ?? 6m x 6m .
???? ????? ??? ???????? ???????? ??????? ???????
?????? ?? ? ???? ??? ????? ?????? ????
????????. ????? ?????? ??????? 25 KN / m3 , ???
??????? ?????? ?????? ????? 30KN.sec2 . m
????
???? ???? ??? ??????2,4 ?? ????? ??????? ???
??????? ???????? ??????? ?????? ????? ?? ?????
???? ??????
60
????? ?????? ??????? ??? ???
????? ?????? ??????? ??????? ??? ??????? ???
????? ??????
61
???? ?????? ???????? ????
???? ???? ?????? ?????? ?????? ???? ?????
???????? ???????? ?? ????? (1,3,5) ????? ?????
62
?????? ???????? ?? ?? ???? Mii25 x 5 x2.5
/9.81 31.85 Kn .sec2 /m
??? ??????? ?????? ??? ????Jii 30 x 1.25 37.5

??????? ?????? ?????? ??????? ???? ??????
63
- ??????? ???? ????? ?????? ?????? ????? ???????
?????? ?? ????? ??????
???? ?????? ?????? ??????? ???????? ???????? ??
???????? (1,5) ?????? ??? ?? ?????? 3 ??? ???
????? ?????
64
???? ???? ???? ??????? ???????
?? ???? ?????? ??????? ????? ,??? ?????? ??? ????
???? ?????? ??????? ??????? ?????? ??????? , ?
??????? ??? ???? ???? ???? ???? ???? ????????
???????
???? ?????? ?? ??? ???? ????? ????
???? ???? ?????? ??????? ??????? ??????
??????? ????? ????? ?????? ???????
??????? ?????? ???????
???? ???? ???? ??????? ??????
?? ???? ?????? ??????? ???? , ??? ???? ??? ?????
??????? ? ???? ????? ??? ??????? ???????? ???????

65
? ??? ?????? ??? ???? ???? ?????? ?????? ????????
??????? ???????
??? ????? ??????? ????? ???????
??????????? ??????? ????????? ????? ????
?????????? ?????? ???? ?????? ??????
???? ?????? ??????? ????? ???????

• ????
• ????? ??????? m (3015) ?????? ??? ???? ?????
  ???? ?????????? ? ???? ??????
  ?????? 0 ???? ????? ????? ?????? ??????
  ??????? m (22) ?? ??? ??????? ???????? ???????
  ???????? ???????
• 1- ??????? ???????.
• 2- ??????? ????
• ??????? ????? ??????? m (1.8)

????
??????? ??????? ???????
66
?? ??? ???? ????? ?????? m (22) ??? ???? ????
???? ?????
? ??????? ???? ???? ???? ?????? ?? ????? ???????
?? ??? ?????? ????????
?? ???? ?????? ??????? ????
67
?? ??? ???? ????? ?????? m (22) ??? ???? ????
???? ?????
? ??????? ??? ??? ???? ?????? ?? ????? ???????
??
? ??????? ???? ??? ???? ??? ????? ???? ?????? ??
???????? ??????? , ??????.
68
????? ???? ??????? ??? ?????? ? ??????
????????? ??????????? ?????? ??? ??? ?? ?????
?????? ?? ??? ????? ?????? ???? ????? ?????
?????? ?????????
?? ??? ????? ??? ???? ???? ????? ???? ????? ?????
?????? ?????? ?? ????? ????????? ????? ??????
???????? ???????
?????? ???? ???????
???????T 2p / ? ????
69
???? ????? ??????? ????? ??? ????? ?????? ???????
?????? ????? ????? ???? ?????
???????
ke ??????? ???????? ??????? (???? ????) ???
???? ???? ????? .
????? ??????? ??????? ?? ??? ?????? ?????? ?????
??????
???? ????? ?????? ???? ????? ??????? ?? ??? n ??
????? ?????? ????? ??? ??? ???? ??? ??? ?????
???????? ????????
70
?? ??? ???? ????? n ???? ????
?????? ??? ??? ??????? ??????? ??????? ?????
??????? .
??????? ?????????? ?????????? ??????? ?????? ??
??????.
????? ??? ?????? ??????? ?????? ????????
?????? ??????? ??????.
71
????? ???? ??????? ??????? ??????? ???????
???? ???? ???? ??????? 2-5 . ? ????? ???
??????? ??? ??? ???? ??????? ?? ?????? ????? ??
???????? ??????? ???? ???? ????? ?? ??????? ????
??? ?? ????? ???????.
????? ???? ??????? ?? ???? ???? ???? ?????
???? ???? ??????? ??????? (???? ?????) ??????
Kramar 2004) ) ???????
???? ??????? ?????? ???????? (???? ????? ).
???? ??????? ?????? ????? .
???? ??????? ?????? ?????? .
72
?????? ?????? ?????? ?????????
????? ?????? ?????? .
??????? ??????? ?????? .
??? ??? ??????? ??????? ???????? ?????? .
???? ??????? ????????? ?????? .
??? ??????? ?????? ?????? ????????? .
?????? ????? ??????? ??????? ??? ??????? ??? ??
???
73
?? ???? ??? ????? ???? ? , ???
,
????? ??????? ??????? ??? ??? ?????? ????? ??????
?? ??? ???? ????
?????? ???? ??????? ?????? ??????? ?? ??????
???????? ???? n ?? ????? ??????.
? ???? ?? ???? ????? ?????? ??????? ?? ???
???????? ???? ??? ????? ????? ??? ?? ??? ????
???? ??????? ?????? ?????? ?????? ????? ???????
?????? ?? ???? ??????? ??? ??????? ?????? ?????
??? ??? ??????? ??? ????? ???????? ??? ???????
??? ??????? ??? ??? ???? ?? ??? ??????? ??????? .
74

• ????
• ????? ?? ????? ???? ?????? ?? ????? ????? ????
  ???? ????????? ? ??????? ???? ??????? ??????? ???
  (2-5) ???????? ????? ?? ??? ????????
  ???????? ??????? ?????? ??????? ?? ?????? (???
  ??? ??? ??????).
• ?????? ????? ??????? ?????? ??????? ?? ??????.
• ???????? ???????? ??????? ?? ?????? ???? ?????
  ???????? .
• ?????? ????? ???????. ???? Kx 35000 KN/m ? K?
  50000 KN/m ?? ??? ???? ??????? . ?????
  ??????? ??? ???? ????? ??????? ????????? ???
  IS-1893 zone 3 ?? ????????
• ???? ????? ??????? (????? ????? ??????)
• ??????? ????? ?????? .

75
????
???? ?????? ??????? ??????? ?????? ??? ???
?????? ???????? ???????? ??????? ???? ????????
??????? ?????? ????????
76
???? ???? ???????? ?????
?? ???? ????? ????? ?????? ???? ??? ????????
????????? ??????? ???????
?? ???? ?? ???????? ???? ??? ??? ?????? ???????
???????
?1 1.6426 , ?2 10 ,
?3 17.104
??????? ???? ??? ???????? ???????? ?????? ??
??????? ???? ??? ????? ?????? ??????? ?? ??????
T 2p / ?
????? ????? ???????? ??????? ?? ?????? ?????
(mode shapes or eign vectors )
77
(No Transcript)
78
??????? ???? ???????? ??????? ??????? ??????? ??
?????? ?????? ????? ???????
79
(No Transcript)
80
(No Transcript)
81
???????? ?? ??? ?????? ??????? (???? ????)
82
???????
83
?????? ???? ???????
??????? ???????
?????? ?? ????? ????????? ,
?????? ?? ????? ???????? .
???????? ? ?????? ,???
84
????? ?? ????? ????? ??????? ??? ???? ????? ?
???? ???????? ??? ??????? ???????? ?? ??? ?? ???
?? ???????
? ??????? ???? ??????? ?? ????? ?????
? ?? ????? ?????? ? ??
????? ??????
?????? ????? ????????? ??? ?????? ??????? ??
?????? (??? ????? ??????)
????? ?????? ?????? ?? ?? ???
?? ????? ?????
85
?? ????? ??????
?? ????? ??????
??????? ???? ??????? ?????? 5 ????
?? ???????
??? ????? IS-1893 ???? ??? ???? ??????? ????????
? ?????? ???????? ???? ????? ????? ?? ????? ??
??? ??????? ????
86
?????? ????? ????????? ?? ???? (???? ????)
????? ?????? ?????? ?? ?? ???
?? ????? ?????
?? ????? ??????
87
?? ????? ??????
???? ??? ???? ????? (??????-??????)
?????? ??? ?? ???? ?? ????? ?????????
88
?????? ???????
????? ????? ?????? ???? ????? ??? ??? ?????
?????? ?????????.
??????? ????? ????? ??????? ??? ??? ?????
?????? ????????? .
89
???????
????? ?? ???? ??????? ?????? ??????? ?? ??????
????? ?? ???? ??????? ??? ?? ???? ???? (??????
??????) ??? ????? ??? ???????? ?? ???????
????????? ?????? ??? (5-15 ).
???? ???????
????? ?????? ???? ?? ???? ??? ???? ??????? ???
????? ????? ?????? .
??? ?? ???? ?? ????? ?????????
90
????? ????? ?????? ???? ?? ??? ?? ???? ?? ????
??????? ??? ????? ????? ??????.
???? ??????? ??? ?? ??????? ?????? ?? ??? ??????
??????? ???????? ?? ???? ????? ??? ??????
??? ????????? ?????? ??????? ?????? ? ?? ??? ??
??? ?? ????? ?????? ??? ???? ???? ???? ?? ??????
????????? ??????. ?????? ??????? ????? (????
????) ??????? . ?????? ??? ????? ???? ????
??????? ?????? ??? ??? ???? ??? ???? .
91
??? ??????? ??????? ????? ???????? ??? ??????
??????? (Chowdhury2008)
???? ????? ?? ????? ????? ??? ??????
??????? ????? ??? ??? ????? ????? ???? ??????
??? ????? ????? ??????? ??????? ????? ?????? ??
????? ?????? ???? ??? ?? ???????
92
??????? ???? ?? ??? ?????? ???????
????? ?????? ?????? ?? ???? ????? ??????? ??????
??? ????? ????? ?? ??????? ??????? ?????
????????? ?????? ?????? ????? ?????? ????? ??????
?? ????? ??????? ???????? .
????? ????? ?????? ??????? ?? ???? ????? ????
?????? ????? ?? ??????? ?? ??? Veletsos)) ?? ???
?????? ?????? ????? ????? ???? ????? ? ?????
?????? ???????? ???????? .
93
????? ?????? ?? ?? ????? ???? ?????? ?????
??????? ??????? ??? ?????? ??????? ?????? ?????
????? ?????? ??? ??? ????? ????? ?
?????? ?? ????? ???? ?? ??????? ?????? ?????
??????? ?? E 9x 1020 KN / m2 ?????? ??? ????
??? ??? ????? ?????? ????? ???? ??????? ?? ?????
?????? ??????? ??????? ??? ??? ????? ??????
??????? ????? ??? ????????? ?????? ?????? ??????
?????? ?? ?????? ?????? ??? ??? ????? ??????
????? ??? ???? ?? ?????? ?????? ????? ??? ??????
?? ??? ???? ????? ?????? ????? ??? ?????? ???????
?????? ???? ?????? ???????? ?????? ?????? ?????
????? ?????? ?????? ??????? ?????? ????? ??????
?????? ????? ?????? ???????? ???????? ??? ??????
???????.
?? ???? ???? ??????? ?????? ?????? ?? ????? ?
???? ????? ?????? ??????? ?????? ?????? ???????
???????? ?? ????? ??????? ??? ??????? ?????
?????? ??? ???? ??????? ???????? .
?? ?????? ??? ????? ???? ??????? ????? ???????
???? ???? ????? ???? ????? ?? ???? ?????? A ???
????? ????????? ????? ???? ?? ??????? ?????? ??
??? ???? (?????? ????) ????? ??? ????? ?? ????
?????? C ??? ??? ??????? ?????? ??????? ? ?????
????????? ??????? ???? ???? ????? ???? ??
????????? ??? ??? ????? ?????? ???? ???????? .
94
????? ??????? ???? ??? ????? ??????? ?? ??????
??? ???????? B , C ???? ?? ??? ?????? ???? ?????
??????? ????? (???? ????) ?????? C ?????? ????
??????? ?? ????????? ???? ?? ???? ?? ???????
??????? ??????? ? ?????? ??????
? ??????? ????????? ??? ????? ????? ??????? ?
????? ?????? ? ?????? ??????????? ?????? ??? ??
???? ????? (?? ???? ??????? ) ?? ????? ????
??????? (?? ???? ???? ????????? ) .
????? ??????? ?????????? ??????? ??? ??????
???????
Dynamics of Soil-Structure Interaction theory
??????? ???????? ??????? ???????? ????? ??????
????? ????? ?????? ??????? ?????? ????????? ???
???? ?????? ?? ??? ???? ????? ?????? ???? . ????
????? ?????? ???? (free-field) ??? ?????? ???? ??
????? ????????? ?????? ?? ?????? ??????? ??? ????
???????? ???????? ??? ???? ????? (?? ???? ????
??????). ?? ??????? SSI ????? ?? ?????? ???????
???????? ??????? ???????? ??? ??? ?????. ????????
??? SSI ???? ?? ??? ???????? ??? ?????????
???????? ?????? ?????????? ??????? ????? ???????
???????.
?? ?????? ?????? ??? ??? ???? ?????? ???? ??? ???
????? ?????? ?? ????? ?????? ????? ?????
??????????? ,???????? ??? ??? ?????? ??? ???????
?????? (?????? ??????) ?? ????? ?? ?????? .
??????? ??????? ????????
Inertial Interaction
????? ???????? ??????? ???????? ?????????? ?
????????? ??????? ?? ????? ???? ?????? ??? ???
???? ? ???? ???????? ? ??????? ?? ??? ?????
?????? ?????? ???? ????? .
?? ???? ????? ???? ?? ???? ???? ????? ?????? ?
????? ????? ??? ????? ????? (???? ?? ?????)
??? ?? ???? ?? ????? ??????. ???? ?????
?????????? ??????? ??? ??????
95
?? ???? ??????? ?????????? ,??? ??????? ??????
??? ?????? ? ?????
?????? ???? ???????
??? ?? ???? ??? ????? ?????? ????????? , ????
???? ?????? ????? ????? , ??????? ? ??????? ??
?????? ?????? ????? ????? ?????? ??????? ?????
???? ??? ?? ???? ?? ?????
????? ????? ?????? ???????? ???????? ? ,
? ????? ?????? ?????? ???????? ? , ?
?????? ???????? ? ? ???? ???? ??????? ??
??????? ??? ?????? .
?? ???? ????? ??? ??? ?????? ???????? ,
???? ??? ????? ????? ?????? ?? ?????? ??? ??????
??????? , ???? ???? ???? ?????? ?? ??????
, ??? ?? ?????? ?????? , ???? ???? ?????
?????? ?? ?????? , ???? ??? ??
?????? ???????? ? ??????? ???? ?????
????? ?? ????? ????????? ?????? ???? ???? ??????
96
?????? ???? ????? ????? ?? ????? ???? ?????
?????? ?? ?????? ??????
??????? ???? ?????? ??? ??????? ?? ???????? (
???? ????? ? ?? ????? ??????)
?????? ??? ??????? , ???? ??? ????? (Veletsos and
Meek, 1974) ????? ????? ?????? ?????? (??????
??????)
???? ????? ??? ??????? ??? ??????? ??? ?????
?????? ???????? ???? ???? ?????? ????
?????? ?? ????? ????? ? ???? ????? ????? ????
????????? ?????? ?????? ? ???? ????? ??????? ????
???????? ???????? ?????? ?? (0.7) ??? , ??
??????? ??? ?? ????? ?????? ???? ??? ??? ???
????? ?????.
97
? ?? ??? ?
?? ????????? ????????? ???? ?????
?? ????? ?????? (??????) ??
??? ?????? ?????? (?????? ???? ?????? ??
????? ?????) . , ???? ??? ??? ??? ? ???
??? ??????. ?????? ?? (?????? ???????
???????). ????? ???? ?????? . ?????
?????? ??????. ???????? ??????? ????? ??????? ???
???????? ????????? ? ????????.
????? ???? ????? ?????? ?????? , ?????
???? ???? ???? ????? ?????? ???
????? ??????
?? ???? ????? ??????? ????????? ??????? ??? ?????
? ?????? ??????? ??? ??? ??
??????? ??????? ?? ?????? ??????
? ?????? ?? ??? ?????? ???? ?
??????? ??????? ?? ?????? ????? ????? ?????
??????? ???? ????? ?? ?????? ???? ????? ??????
??? ?????? ? ???? ?? ?????? ?????? ????? ?
??????? ??? ??????? ????????.
???? ???? ???? ???? ??????
??? ???? ?????? ?? ??? ????? ??? ??? ????? ??????
?????? ???? ?????? , ? ????? ????
. ???? ????? ?? ????? ?????? ????? ? ??? ?????
????? ,???? ????? ???? , ??????? ?????????
? ????? ?? ?????? , ? ???? ???? ??????
??? ?????? ? ??????? ??????

98
???? ??????? ??????? ??? ????? ??????
? ????? ?????? ?? ??? ???????? ???????
, ??? , ?????
?????? ????????? , ???? ??????

99
????? ????? ?????? ?? ????? ???? ?????? ??????
??? ??? ?????? ????? ????? ??? ???????? ?
????? ????? ?????? .? ??? ???? ?? ???????
???????? ????? ???? ?? ??????? ??????? , ???
??? ??? ?????? ???? ? ??? ???? ??????
?? ??????? ??????? ???? ???? ?????? ? ?? ????
???? ?????? ????? ?? ?????? ????????
????????. ????? ??? ?? ??? ???? ????? ?
, ??? ????? ?????? ?????? ???? ???? ?? ????? ????
??? ?????? ??? ???? ????? ????? ???
?????? ? ??????? ?????? ?? ????? ???????.
????? ??? ????? ??????? ,??? ???? ?????? ?????
????? ???????? ??????? ??????? ???????? ???
?????? ?????? ? ?????? ???? ?????? ??????
,??? ??????? ???? ?? ????? 1- ??????? ?????????
?????? . 2- ??????? ???????? . ? ??????? ?????
??????? ????? ?????? (???? ????) ??? ????????
????? ? ??? ???????
???????? ?? ?????? ?????? ??????? ?????? ????? ,
? ????? ???? ????? ?????? ?? ??? ?????
????????? ?????????. ????? ????? (3)
?? ??? ??????? ???????? ????? ????? , ? (2) ??
??? ???? ????? ??????? (??? ???????
?????????) ???? ??? ???????? ?? ????
?????? ???? ?????? ?? ???
????? ?????? ?????????? ?? ????? ?????? ?????
???????? , ??????? ??????? ??? ??????? ? ?????
??? ?????? ??? ???? ????? ????? ??? ??? ??????
?????.
100
??????? ???????? ?? ???
???? ?????? ????? ?????? ??? ??????? ? ?????? ??
????? ?????? ??????? ??? ??? (??????? ??????
????? ?? ??? ?????? ? ????? , ) ? ????
?? ??? ???? ????? ????? ??? ??? ??????
?????. ??? ?? ???? ?? ????? ?????? ?????
???????? , ????? ???? ???? ??????? ???
????? ??????
??? ????? ?????? ????????? . ,
??? ??????? ???????? ???????? ??????? ????
????? ???????? ? ???????. , ,
????? ????? ??? ????? ?????? ?????? ? ????? ??
???? ?????? (2) ??? , ?????
???????? ???????? ? ???? ?? ?????? ?? ????????

• ? ????? ?? ??????? ???????? ,?? ????? ??????
  ?????? ???? ?? ????? ???? ????? ?????? ??? ??????
  
• ????? ?????? ??????? ?? ????? ???? .
• ????? ?????? ???? ????? ( ???????) ?? ?????
  ?????? (? ???? ?????? ?? ??????? ?? ??? ???
  ??????)

101

• ??? ?? ?????? ?? ??????? ???????
  (?????? ?????) ?? ????? ????? ??????? ????????
  ??????? , ? ??? ?????? ???? ????? ?? ???????
  ?????? ? ??????? ??????? ???????? ??????? ???? ,
  ????? ??? ?????? ????? ?? ??????? ??????? ???
  ????? ???? ?? ???????? ??????? ? ???????? ??? ???
  ???? ??????
• ???? ??????? ???????( , ) ????? ???? ????
  ????? ???? ????? ????? ??????? ??? ????? ???? ??
  ??????.
• ???? ????? ?????? ????? SSI ??????? ??? ????
  ??????? ,??? ???? ??? ????? ???? ??????? ?? ????
  ?? ????? ????? ????? ????? ??????? ??? ??????
  Pseudo Spectral Acceleration, ??? ??? ???????
  ???? ??????? ?????? ????? ??????.

102
(No Transcript)
103
?????? ????? ? ????? ???????? ??????
Equations for Shallow Foundation Stiffness and
Damping
??????? ?? ??? ?????? ????? ? ???? ???????
Models for Rigid Foundations and Uniform Soils
???? ????? ???????? ??????? ? ??????? ( ????????
????????) ??????? ?? ??????? ???????? ??? ??????
- ?????? , ???
??? ?????? ??????? (complex) ????? ????????
. ???? ??? ????? ?????????? ?? ????????? .
, ???? ?????? ? ????? ?????? ???????
??????? ???? ????? . ???????
?????? . ???? ????? ???? ????????
???? ????? ???? ???
104

• ??????? ?? ??? ??????? ???? ???? ? ?? ???
  ?? ???? ?????? ????? , ???? ?????? ???
  ???? ???? ?? ??????? ?????
• ?? ??????? ??????? , ???? ????? ?? ????? ,???
  ????? ?? ?????????.
• ????? ??????? ?? ???????? ???????
  ???? ??? ????? ??? ???????
  ???????? ? ?? ????? ??? ????? ????, ? ????? ???
  ????? ??? ????? ??????? ? ???????? ???????
  ???
  
• 
  ????????

? ???? ??????? ????? ??????. ??? ????
?????? ?? ???? ????? , ??? ????????
???????? ??????? ????? ?? ????? ???????? ??????
(0.197) ?????? (11.3) ???? . - ????? ????
??? ????????? ??? ???? ?????? ?? .
???? ??? ???? ?? ?????? ?????? ????? ???????? ??
??? ???????? ????????? ?? ???????? ???????? ???
??? ?????? ?? ???????? ?? ??? ?????? ????????
????? ?? ????? ?????, ??? ??? ?????? ?????
???????? ? ??????? ??????? ???????
? ??????? ????????? ? ??????? ??????? ???????
,???? ????? ??????? ? ????? ??????
?????? , ????? ?? ??????. ????
??????. ??????? ??????? ??????????? , ?
??????? ??? ???????
105
??? ????? ?????? ?????????? ??? ?????
???? ????? . ????????.
???????. ??? ?? ???? ????? ???? ??????? ?????
??????? ?? ????? ?????? ????. ???? ?????? ??????
??? ????? ???? ??????? ???? ? ???? ????? ???? ??
??? ??????? ?????? ?????.
106

• ??? ???? ????? ???? ??????? ?? ???????
  ??? ??? ?????? ??? ?? ????????
  ????????????? ???????. ??????? ???????
  ??????.
• ????? ??????? ??????? ??????????? ??????
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107
(No Transcript)
108
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109
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110
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111
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112
(No Transcript)
113
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114
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116
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117
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121
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122
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123
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124
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125
(No Transcript)
126
?????? ??????? ???????
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127
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128
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129
?? ????? (2-12) ??? ?????? ?????? ?????
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130
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131
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132
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133
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