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}L v=O - Sharifsjce.journals.sharif.edu/article_1133_298b95aa292d276e...|xQ =t |xQwO- 1395 R}} = ' h} Q u= Qt a | U Ovy t "p}rLD w x}RHD hrDNt |=ypOt "1 pwOH 2 21 1 s/d DP H 1VS Cr=L

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Page 1: }L v=O - Sharifsjce.journals.sharif.edu/article_1133_298b95aa292d276e...|xQ =t |xQwO- 1395 R}} = ' h} Q u= Qt a | U Ovy t "p}rLD w x}RHD hrDNt |=ypOt "1 pwOH 2 21 1 s/d DP H 1VS Cr=L

�1395

R}}=B�'h

}QWu=Qt

a|UOv

yt94

�85"X

'3/2|

xQ=tW'

32�2

|xQwO

Ori

gina

lArt

icle=y`tW xwQo QO l}D=tv}U |WtN Qovr QO QF-wt pt=wa

�Q=}O=DU=� O=Q|}=vU |ral=Q= x=oWv=O 'u=Qta |UOvyt xwQo

�|QDmO |wHWv=O� �O=Sv|tqe =[QOtL=|DWy@ O}yW x=oWv=O 'CU} R \}Lt w ?; 'u=Qta xOmWv=O

=Q |}x}q l =N |xOwD QO uwiOt `tW xwQo |}xRQr Q=DiQ |QDt=Q=B |xar=]t G}=Dv Q=DWwv u}=|ovwoJ w `tW � l =N l}D=tv}U VvmQOv= |UQQ@ 'VywSB u}= R= hOy "OyO|t x�=Q=

xwQo QO xrRrR s=ovy QO l}D=tv}U |WtN |=yQovr |xaUwD QO hrDNt pt=wa Q}F-=DFLAC 3D |Oa)@ xU OwOLt p[=iD Q=Ri=sQv R= =ypOt CN=U |=Q@ "CU= xOw@ =y`tW

CLY w |r@k |=yVywSB =@ pOt |xU}=kt =@ |m}D=DU= CLY "CU= xOW xO=iDU=|}xRQr p}rLD w x} RHD "CU= xOW xO}HvU SHAKE 2000 Q=Ri=sQv R= xO=iDU= =@ |}xRQrQ]k 'l =N C=YNWt %Ovv=t `tW xwQo MU=B QO Q=PoQ}F-=D w |rY= pt=wa Q}}eD =@ |QDt=Q=BwQDvUp= |xrRrR CW=ov?=DW R= xO=iDU= =@ l =N |x}q jta w '=y`tW |xrY=i '=y`tWpt=wa xm CU= xO=O u=Wv =yp}rLD w x} RHD G}=Dv "CU= xOW s=Hv= |v=tR |xRwL QO w

'|v=}t |=y`tW QO u}vJty "OvQ=O l}D=tv}U |WtN Qovr Q=Okt QO |O=} R Q}F-=D xOWQmP"O@=}|t xaUwD |Q=vm |=y`tW x@ C@Uv |QDW}@ l}D=tv}U |WtN Qovr

[email protected]@gmail.com

xwQo 'l}D=tv}U VvmQOv= '`tW � l =N VvmQOv= '|}xRQr R}r=v; %|O}rm u=oS=w"OwOLt p[=iD '`tW

xtOkt "1xOW|R=UxO=U w |@} QkD |=ypOt R= xO=iDU= "1 %CU= xDiQo Q=Qk xO=iDU= OQwt=} OwOLt <=RH= QDj}kO w QDxO}J}B |=ypOt R= xO=iDU= "2 [9�4]&Qrmv} w VwQ Ovv=tw uoty l =N QO "1 %Ov=xO=O u=Wv xOWs=Hv= |=yVywSB wtHt [11w10]"x@=WtO=H}= x}q wO RQt |m}ORv w `tW \Uw QO ?}DQD x@ |WtN Qovr |xv}W}@ '|}x}q|O=} R Q}F-=D 'l =N |DNU x@ `tW |DNU C@Uv =} w `tW Q]k |xR=Ov= "2 &OwW|t|=yVywSB s=tD xm OwW QmP O}=@ u}vJty "OQ=O l}D=tv}U |WtN Qovr Q=Okt QOCQwYx@ CQOvx@ =y`tW xm CU= |r=L QO u}= 'Ov=xOw@ lD `tW |wQ Q@ xOWs=Hv=

"OvwW|t xO=iDU= lDQ@ xOWs=Hv= l =N � `tW l}D=tv}U VvmQOv= |=yp}rLD R= |WQ=Ro Q=DWwv u}=s=Hv= R= hOy "CU= FLAC 3D OwOLtp[=iD Q=Ri=sQv R= xO=iDU= =@ `tW xwQo |wQ'=y`tW |xrY=i 'l =NTvH %Ovv=thrDNt pt=wa QF=|UQQ@ '=yp}rLD w x} RHD u}="CU= xOw@ `tW xwQo l}D=tv}U |WtN Qovr Q@ l =N |x}q jta w '=y`tW Q]k

p}rLD w x} RHD |=ypOt "2xO=iDU= OQwt Q=Ri=sQv "1"2

3K} QY OwOLt p[=iD Q=Ri=sQv R= 'p}rLD w x} RHD |=ypOt CN=U |=Q@Qy QO xm OQ=O u}= x@ xQ=W= VwQ u}= QO K} QY "CU= xOW xO=iDU= FLAC 3D

=y`tW QO|WtN Qovr p}mWD?Hwt xrRrR Gwt Qw@a QF= QO l =N |xOwD|}=Hx@=Hu=wvax@ w Ov@=}|t xaUwD R}v xR=UwQ Qw[L sOa CQwY QO|DL =yQovr u}= "OwW|tsQH R= |W=v 2|UQv}= |=yQovr hqNQ@ "OvwW|t xDN=vW 1l}D=tv}U |=yQovr"Ov@=}|t xaUwD `tWpw]QOl}D=tv}U|=yQovr 'OwW|tp=ta= `tW QU Q@ xm 'xR=UwQxOW|tv|krD |OH |Oq}t 1990 |xyO\U=w= R= p@k =Dl}D=tv}U |=yQovr'�1985� |D}Uwm} Rmt %|=yxrRrR R= TB xOWs=Hv= |}=QLY |=y|UQQ@ =t= "CU=uO}O?}U; QOl}D=tv}U C=QF= xmCU= xO=O u=Wv �1999�|J|J w �1995� x@ wm

[2w1]"OQ=O |tyt Vkv xrRrR s=ovy QO =y`tWu=tRsy Q}F-=D CLD xm 'CU= xO}J}B |}xr�Ut `tW � l =N |}xRQr VvmQOv=RwQ@ 'l =N |]NQ}e Q=DiQ 'l =N |x}q `=iDQ= 'l =N TvH %Ovv=t pt=a u}OvJu}@ l}D=tv}U VvmQOv= w '|UQv}= C=QF= '=y`tW C=YNWt '|Pivt ?; Q=Wi|=yVwQ R= u=vJty |UOvyt |=yQ=m QO |oO}J}B u}= Cra x@ "CU= `tW l =NOwHw =@ "CU= xOW |WwBsWJ l}D=tv}U VvmQOv= R= w xO=iDU= xOW|R=UxO=UC}ty= w xDiQo CQwY lD `tW l}D=tv}U VvmQOv= Q@ |a}Uw ,=D@Uv C=ar=]t 'u}=

[3]"CU= xOW QmP R}v =yxt=vu}�; |NQ@ QO u;=y`tW l}D=tv}U |WtN |=yQovr |OOa |UQQ@ QO OQm} wQ wO |rm Qw]x@

pw�Ut xOvU} wv �"1394 8 12 VQ}PB '1394 7 10 x}LqY= '1394 1 25 Ci=} QO %M} Q=D

Page 2: }L v=O - Sharifsjce.journals.sharif.edu/article_1133_298b95aa292d276e...|xQ =t |xQwO- 1395 R}} = ' h} Q u= Qt a | U Ovy t "p}rLD w x}RHD hrDNt |=ypOt "1 pwOH 2 21 1 s/d DP H 1VS Cr=L

=y`tWx

wQoQOl

}D=tv}U|

WtNQovr

QOQF -wt

pt=wa

"`tW w l =N p}iwQB "1 pmW

"`tW xwQo V}=Q; "2 pmW

QO 2500(kg/m3) |r=oJ w p=mU=B=ot 30 |v=UWm pwOt =@ |vD@ `tWw q=@ |x}q QO u; R= |DtUk xm 'CU= QDt 20 =y`tW pw] "CU= xOW xDiQo Q_v80 w 60 '40 |=yQ]k =y`tW "CU= xOQm Pwiv u} Q} R CNU |x}q QO u; |k=@|xrY=i "Ov=xDiQo Q=Qk 6 w 4 '2 |=yQ]k x@ xrY=i C@Uv 3 QO xm 'OvQ=O QDt|Dv=UhrDNt Cr=L 54 wtHt QO "CU= QDt 1 2 lyqm |x@r R= |Q=vm |=y`tWxOW x�=Q= 1 pwOH QO xm 'OQ=O OwHw `tW w l =N |=yQDt=Q=B |=Q@ p}rLD w x} RHD

"CU=|oDN}Uo VwB "CU= xOW xO=iDU= =yp}rLD w x} RHD QO ?trm � Qywt pOt R=VwB u}= QOVvD |x]kvC}akwt xm 'CU= ?trm � Qywt Q=}at =@ j@=]t pOt u}= QOxDU@=w u=} QH uwv=k w |WQ@ |oDN}Uo |=Q@ xDU@=wQ}e u=} QH uwv=k =@ |oDN}Uo|=yVvD �3 w �2 '�1 Qo = 'Qo}O u=}@ x@ "OwW|t pQDvm |WWm |oDN}Uo |=Q@

%�8 |x]@=Q� OW=@ Q=QkQ@ O=OQ=Qk u}= w OvW=@ |rY=�1 < �2 < �3 (8)

T=U=Q@ B =D A R= |oDN}Uo "O=O V}=tv 3 pmW j@=]t u=wD|t =Q CUmW Q=}at%Ow@ Oy=wN 9 |x]@=Q j@=]t ?trm � Qywt |WQ@ s}rUD `@=D

fs = �1 � �3N� + 2cpN� (9)

%O};|t CUOx@ 10 |x]@=Q R= N� 'u; QO xmN� = 1� sin�

1� cos�(10)

un+1 'n+ 1 u=tR QO pwyHt w OwW|tv p}mWD |DNU T} QD=t '|D=@U=Lt s=o'OwW|t \@DQt (un) 'n u=tR QO u Q=Okt x@ s=o l} QO x]@=Q l} =@ \ki w CU=

%s} Q=O =Q 2 w 1 \@=wQ w CU}v u=tRsy CqO=at pL x@ |R=}v TBun+1 � un

�t= f(un; tn) (1)

un+1 = un + �t:f(un; tn) (2)

CQwY |QDtm u=tR QO nQR@ VvQm w |]NQ}e p}rLD w x} RHD s=Hv= 'xH}Dv QO?UL Q@ sDvtwt |=k@ R= CmQL p}Uv=Qi}O |xrO=at 'pL uw}UqwtQi QO "OQ}o|t

%CU= 3 |x]@=Q sQi x@ =yVvD�d _uidt

= @�ij@xi

+ �gi (3)

%OwW|t xO=iDU= 4 |x]@=Q QO |r[=iD sQi R= u=tR QO |R=UxDUUo |=Q@ |iQ] R=@ _ui@t

= _ut+�t2 � _ut��t2

�t(4)

pta 5 |x]@=Q CQwYx@ 'FLAC QO VvD u=}O=Qo |xrtH |R=UxDUUo |=Q@ w%CU= xOW

@�ij@xj

= 1A

X�ij :�jk:�xk (5)

"CU= u=tr= `r[ pw] �xk w u=tr= K]U A 'u; QO xm%O};|t QO 6 |x]@=Q CQwYx@ FLAC QO |r[=iD |wor= ?}DQD u}O@

"_ut+

�t2 � _ut��t2

�t

#= 1A

X�ij :�jk:�xk (6)

R}v u w 'O};|t CUOx@ K} QY CQwYx@ w CU= pwyHt _ut+�t2 \ki 'u; QO xm

%OwW|t pY=L 7 |x]@=Q =@ |oO=U x@u = _u��t (7)

xOt; CUOx@ u}vJ OwOLt p[=iD VwQ j} Q] R= sQH � Qvi sDU}U |xar=]t =@QDlJwm sDU}U pm|rY= ?w=vD |xQwO |xv}tm R= O}=@|v=tR s=o u} QDnQR@ xmCU='K} QY pL |OOa VwQ QO "CU= hwQat |v=QL@ |v=tR s=o x@ |v=tR s=o u}= "OW=@u=tr= l} R= Ovv=wDv xOWx@U=Lt |=yQ}eDt xm OW=@ lJwm |QOk x@ |v=tR s=o O}=@

"Ov@=} Q=WDv= Qo}O u=tr= x@

l =N w `tW C=YNWt w C=}[Qi "2"2QO uwiOt w ?rY lyqm =@ 3 � 3 `tW xwQo l} R= VywSB OQwt `tW xwQo=@ CNU |}xU=t |x}q l} u=wvax@ u} Q} R |x}q "CU= xOW p}mWD |}x}q l =Nl =m]Y= |x} w=R w '2000(kg/m3) |r=oJ 'x}v=F Q@ QDt 600 |WQ@ GwtCaQU|=yCaQU =@ p )W w sm =QDt |}xU=t l =N wv wO R= q=@ |x}q w xHQO 40 |rN=Ow 1600(kg/m3) |=y|r=oJ 'x}v=F Q@ QDt 150 w 300 ?}DQD x@ |WQ@ GwtxOW xDiQo Q_v QO xHQO 35 w 30 |rN=O l =m]Y= |x} w=R w 1800(kg/m3)�5 l =N w `tW Kr=Yt |}=Q}t "OQ=O |QDt 18 w 12 '6 `=iDQ= 'q=@ |x}q "CU='2 pmW w l =N p}iwQB w `tW xwQo R= |}=tW '1 pmW "CU= xOW xDiQo Q_v QO

"OyO|t u=Wv =Q `tW xwQo V}=Q;

86

Page 3: }L v=O - Sharifsjce.journals.sharif.edu/article_1133_298b95aa292d276e...|xQ =t |xQwO- 1395 R}} = ' h} Q u= Qt a | U Ovy t "p}rLD w x}RHD hrDNt |=ypOt "1 pwOH 2 21 1 s/d DP H 1VS Cr=L

3 2|xQ

=tW'32

�2|xQ

wO-�13

95R}}=B

�'h}QW

u=Qta|

UOvyt "p}rLD w x} RHD hrDNt |=ypOt "1 pwOH

�2 �1�1

s/dDP H1 VS1 Cr=L �2 �1

�1s/d

DP H1 VS1 Cr=L(kg/m3) (m) (m) (m/s) (kg/m3) (m) (m) (m/s)

40 35 1800 2 0 4 6 300 S2� 1 40 30 1600 2 0 4 6 150 S1� 140 35 1800 4 0 4 6 300 S2� 2 40 30 1600 4 0 4 6 150 S1� 240 35 1800 6 0 4 6 300 S2� 3 40 30 1600 6 0 4 6 150 S1� 340 35 1800 2 0 6 6 300 S2� 4 40 30 1600 2 0 6 6 150 S1� 440 35 1800 4 0 6 6 300 S2� 5 40 30 1600 4 0 6 6 150 S1� 540 35 1800 6 0 6 6 300 S2� 6 40 30 1600 6 0 6 6 150 S1� 640 35 1800 2 0 8 6 300 S2� 7 40 30 1600 2 0 8 6 150 S1� 740 35 1800 4 0 8 6 300 S2� 8 40 30 1600 4 0 8 6 150 S1� 840 35 1800 6 0 8 6 300 S2� 9 40 30 1600 6 0 8 6 150 S1� 940 35 1800 2 0 4 12 300 S2� 10 40 30 1600 2 0 4 12 150 S1� 1040 35 1800 4 0 4 12 300 S2� 11 40 30 1600 4 0 4 12 150 S1� 1140 35 1800 6 0 4 12 300 S2� 12 40 30 1600 6 0 4 12 150 S1� 1240 35 1800 2 0 6 12 300 S2� 13 40 3 1600 2 0 6 12 150 S1� 1340 35 1800 4 0 6 12 300 S2� 14 40 30 1600 4 0 6 12 150 S1� 1440 35 1800 6 0 6 12 300 S2� 15 40 30 1600 6 0 6 12 150 S1� 1540 35 1800 2 0 8 12 300 S2� 16 40 30 1600 2 0 8 12 150 S1� 1640 35 1800 4 0 8 12 300 S2� 17 40 30 1600 4 0 8 12 150 S1� 1740 35 1800 6 0 8 12 300 S2� 18 40 30 1600 6 0 8 12 150 S1� 1840 35 1800 2 0 4 18 300 S2� 19 40 30 1600 2 0 4 18 150 S1� 1940 35 1800 4 0 4 18 300 S2� 20 40 30 1600 4 0 4 18 150 S1� 2040 35 1800 6 0 4 18 300 S2� 21 40 30 1600 6 0 4 18 150 S1� 2140 35 1800 2 0 6 18 300 S2� 22 40 30 1600 2 0 6 18 150 S1� 2240 35 1800 4 0 6 18 300 S2� 23 40 30 1600 4 0 6 18 150 S1� 2340 35 1800 6 0 6 18 300 S2� 24 40 30 1600 6 0 6 18 150 S1� 2440 35 1800 2 0 8 18 300 S2� 25 40 30 1600 2 0 8 18 150 S1� 2540 35 1800 4 0 8 18 300 S2� 26 40 30 1600 4 0 8 18 150 S1� 2640 35 1800 6 0 8 18 300 S2� 27 40 30 1600 6 0 8 18 150 S1� 27

%Ow@ Oy=wN 11 |x]@=Q CQwYx@ |WWm s}rUD `@=D T=U=Q@ C =D B R= w

f t = �t � �3 (11)

Ctw=kt w '|oOv@UJ 'l =m]Y= |x} w=R ?}DQD x@ �t w c '� 'QwmPt \@=wQ QO xm|oOW|Q=H pwtQi QO xv}tm w xv}W}@ |rY= |=yVvD \ki "OvDUy l =N |WWmCtw=kt Q=Okt u}vJty "OQ=Ov |Q}F-=D I}y\UwDt|rY=VvD w OvDUy p}NO|WQ@

%OW=@ QDW}@ Ov=wD|tv 12 |x]@=Q R= xOt;CUOx@ Q=Okt R= |WWm

�tmax = ctan�

(12) "FLAC 3D QO ?trm � Qywt |oDN}Uo Q=}at "3 pmW

87

Page 4: }L v=O - Sharifsjce.journals.sharif.edu/article_1133_298b95aa292d276e...|xQ =t |xQwO- 1395 R}} = ' h} Q u= Qt a | U Ovy t "p}rLD w x}RHD hrDNt |=ypOt "1 pwOH 2 21 1 s/d DP H 1VS Cr=L

=y`tWx

wQoQOl

}D=tv}U|

WtNQovr

QOQF -wt

pt=wa

"|SQv= |xv}W}@ |xOwOLt "4 pmW

"|}=yv CW=ov?=DW "5 pmW

|RQt \}=QW "4"2p}rLD w x} RHD QO s�=k w |ki= |}=Hx@=H p@=kt QO pOt hm QO xDiQoQ=Qk \=kvQO xDiQoQ=Qk \=kv '|m}D=DU= p}rLD w x} RHD QO "Ov=xOW C@=F |m}t=v}O w |m}D=DU='|m}t=v}O p}rLD w x} RHD |=Q@ "Ov=xOW C@=F |ki= CQwYx@ CU=Q w AJ CtUGwt Q}F-=D R= =D 'OwW xDiQo Q_v QO O}=@ pOt u}iQ] w xR=U u}@ |i=m |xrY=i|=Q=O FLAC 3D Q=Ri=sQv xD@r= "OwW |Q}owrH MU=B QO =yRQt QO xDi=}T=mav=u} Ro}=H |WwQ xm 'CU= 5�?P=H� um =U RQt x@ swUwt =yRQt R= |Y=N |awv

[13]"CU= nQR@ Q=}U@ O=a@= R= xO=iDU= |=H x@

|Ov@Vt |xR=Ov= w pOt O=a@= "5"2x@ O}=@ pOt O=a@= 'p}rLD w x} RHD MU=B QO =yRQt Q}F-=D R= |Q}owrH Qw_vt x@C=YNWt =@ |[wQit `tW MU=B Qw_vt u}= |=Q@ "OwW ?=NDv= ?U=vt Qw]=@ |}=ypOt QO 'OQ=O Q=Qk |@v=H Q=@ CLD xm 'C@=F |Qvi w |Lr=Yt '|UOvyCU= xOW |aU =ypOt s=tD QO "CU= xOW xU}=kt w xOt; CUOx@ hrDNt O=a@=C}=yv QO "OwW |Q}owrH MU=B QO u; Q}F-=D R= =D 'OW=@ C@=F |Ov@Vt |xR=Ov= xm"CU= xOW xDiQo Q_v QO QDt 42 pOt `=iDQ= w QDt 52 pOt ZQa w pw]

Cw=iDt |xR=Ov= wO R= 'OvQ=O |}x}q wO l =N '|UQQ@ OQwt|=ypOt xm |}=Hv; R="CU= xOW xO=iDU= x}q Qy |=Q@ '=yp}rLD w x} RHD u=tR Vy=m Qw_vt x@ |Ov@VtxOWpOt |xawtHt QO Gwt CmQL CaQU w pOt x@ |OwQw Gwt |Ot=U@ |=wDLt'|}xRQr |=yp}rLD w x} RHD QO xH}Dv QO 'OvDUy QF-wt Gwt p=kDv= |OOa CLY Q@|OwQw Ot=U@ u} QDnQR@ Q@ j@]vt Gwt pw] 1

8 =D 110 R= O}=@ |Ov@Vt Oa)@ u} QDnQR@

150 |WQ@ Gwt |=yCaQU =@ l =N wv wO R= VywSB u}= QO [14]"OW=@ QDlJwmQDt 600 |WQ@ Gwt CaQU =@ QDsm =QDt l =N w q=@ |x}q |=Q@ 'x}v=F Q@ QDt 300 w

u=} QH h} QaD |=Q@ ?}DQD x@ xm gt w gs p}Uv=DB `@=D wO R= xO=iDU= =@ p}Uv=DB `@=Duwv=k j@=]t 'gs `@=D "OwW|t h}YwD 'OvwW|t xO=iDU= |WWm w |WQ@ |Q}tN

%OwW|t h} QaD 13 |x]@=Q CQwYx@ xm 'CU= xDU@=wQ}e u=} QHgs = �1 � �3N (13)

%O};|t CUOx@ 14 |x]@=Q R= N w CU= `=UD= |x} w=R 'u; QO xmN = 1 + sin

1� sin (14)

%OwW|t xDWwv 15 |x]@=Q CQwYx@ w CU= xDU@=w u=} QH uwv=k j@=]t gt `@=Dgt = ��3 (15)

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"l}D=tv}U |WtN Qovr QO l =N |DNU QF= "18 pmWx@ 'OQ=O xOWO=H}= l}D=tv}U |WtN Qovr Q=Okt QO |Q}osWJ QF= =y`tW Q]k "1'QDt|Dv=U 80 x@ 40 R= u}vJty w 60 x@ 40 R= =y`tW Q]k V}=Ri= =@ xm |Qw]"OwW|t Q@=Q@ 9 5 =D 5 5 w 5 5 =D 3 5 u}@ ?}DQD x@ |WtN Qovr Q=Okt ,=@} QkD'pw= |x}q jta V}=Ri= =@ 'CNU |x}q QO `tW Pwiv jta uDW=Ox=ov C@=F =@ "2

"CU= C@Ft xQ=wty l}D=tv}U |WtN Qovr QO `tW Q]k V}=Ri= QF==y`tW Q]k x@ xrY=i C@Uv uOWO=} R =@ |WtN Qovr QO =y`tW Q]k Q}F-=D "3

"OwW|t QDW}@=@ |va} "CU= xOvy=m 'l}D=tv}U |WtN Qovr QO Qo}Om} R= =y`tW |xrY=i QF= "4"Ovm|t =O}B Vy=m l}D=tv}U |WtN Qovr Qo}Om} R= =y`tW |xrY=i V}=Ri=jta =} w =y`tW Q]k Q}}eD =@ l}D=tv}U |WtN Qovr QO =y`tW |xrY=i QF= "5

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xrY=i C@Uv =@ l}D=tv}U |WtN Qovr QO pw= |x}q jta QF= C=Q}}eD "17 pmW"hrDNt |=yQ]k QO `tW Q]k x@

pmWQ}}eD |xR=H= QDtm `tW OwW|t ?Hwt l =N QDW}@ |DNU =Q} R 'OwW hYvQ]k =@ |=y`tW QO XwYN x@ l}D=tv}U |WtN Qovr QO Vy=m u}= "Ovm =O}B

"CU= u=}=tv QDW}@ QDtm

|Q}oxH}Dv "4l}D=tv}U VvmQOv= Q@ l} QDt=Q=B |xar=]t R= pY=L G}=Dv 'Q=DWwv u}= QOuwiOt `tW xwQo QO l}D=tv}U |WtN Qovr Q}}eD |ovwoJ w `tW � l =NCLD FLAC 3D OwOLt p[=iD Q=Ri=sQv R= xO=iDU= =@ |}x}q wO l =N QOQ}O=kt |xU}=kt =@ "CU= xOW |UQQ@ |v=tR |xRwL QO wQDvUp= |xrRrR l} QLDxOt; CUOx@ G}=Dv u}= 'p}rLD w x} RHD 54 R= pY=L |WtN Qovr |xv}W}@

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jta |Q=PoQF= lOv= V}=Ri= ?Hwt(s/d) =y`tW Q]k x@ xrY=i C@Uv V}=Ri= "7"OwW|t l}D=tv}U |WtN Qovr QO q=@ |x}q

=yCWwv=B1. kinematic moments2. inertial moments3. explicit4. Arias intensity5. quite boundary

�References� `@=vt1. Gazetas, G., Fan, K., Tazoh, T. and Shimizu, K. \Seis-

mic response of the pile foundation of Ohba Ohashibridge", In Proceedings: Third International Conferenceon Case Histories in Geotechnical Engineering, pp. 1803-1809 (1993).

2. Nikolaou, S., Mylonakis, G., Gazetas, G. and Tazoh,T. \Kinematic pile bending during earthquakes: anal-ysis and �eld measurements", Geotechnique, 51(5), pp.425-440 (2001).

3. Eurocode 8, Design of Structures for Earthquake Resis-tance { Part 5: Foundations, Retaining Structures andGeotechnical Aspects, European Committee for Stan-dardization Technical Committee 250 (CEN/TC 250),Brussels, Belgium (2003).

4. Kavvads, M. and Gazetas, G. \Kinematic seismic re-sponse and bending of free-head piles in layered soil",Geotechnique, 43(2), pp. 207-222 (1993).

5. Mylonakis, G., Nikolaou, A. and Gazetas, G. \Soil-pile-bridge seismic interaction: kinematic and inertial e�ects.Part I: soft soil", Earthquake Engineering & StructuralDynamics, 26(3), pp. 337-359 (1997).

6. Murono, Y. and Akihiko, N. \Evaluation of seismic forceof pile foundation induced by inertial and kinematic in-teraction", In Proceedings of the 12th World Conferenceon Earthquake Engineering, Auckland, New Zealand,pp.1496 (2000).

7. Nikolaou, S., Mylonakis, G., Gazetas, G. and Tazoh, T.\Kinematic pile bending during earthquakes: Analysisand �eld measurements", Geotechnique, 51(5), pp. 425-440 (2001).

8. Dezi, F., Carbonari, S. and Leoni, G. \Kinematic bend-ing moments in pile foundations", Soil Dynamics andEarthquake Engineering, 30(3), pp. 119-132 (2010).

9. Sica, S., Mylonakis, G. and Simonelli, A.L. \Strain ef-fects on kinematic pile bending in layered soil", SoilDynamics and Earthquake Engineering, 49, pp. 231-242(2013).

10. Maiorano, R.M.S., Aversa, S. and Wu, G. \E�ects of soilnon-linearity on bending moments in piles due to seismickinematic interaction", In Proceedings of the Fourth In-ternational Conference on Earthquake Geotechnical En-gineering, Thessaloniki, Greece, pp. 968-975 (2007).

11. Di Laora, R., Mandolini, A. and Mylonakis, G. \Insighton kinematic bending of exible piles in layered soil",Soil Dynamics and Earthquake Engineering, 43, pp. 309-322 (2012).

12. Trifunac, M.D. and Brady, A.G. \A study on the dura-tion of strong earthquake ground motion", Bulletin ofthe Seismological Society of America, 65(3), pp. 581-626(1975).

13. Itasca Consulting Group, FLAC: Fast Lagrangian Anal-ysis of Continua, vol. I. User's Manual, vol. II. Ver-i�cation Problems and Example Applications, SecondEdition (FLAC3D Version 3.0), Minneapolis, Minnesota55401 USA (2005).

14. Kuhlemeyer, R.L. and Lysmer, J. \Finite elementmethod accuracy for wave propagation problems", Jour-nal of Soil Mechanics & Foundations Div., 99(5), pp.421-427 (1973).

15. Trochanis, A.M., Bielak, J. and Christiano, P. \Three-dimensional nonlinear study of piles", Journal ofGeotechnical Engineering, 117(3), pp. 429-447 (1991).

16. Bentley, K.J. and Naggar, M.H.E. \Numerical analysisof kinematic response of single piles", Canadian Geotech-nical Journal, 37(6), pp. 1368-1382 (2000).

17. Maheshwari, B. K., K. Z. Truman, P. L. Gould, andM. H. El Naggar. \Three-dimensional nonlinear seismicanalysis of single piles using �nite element model: e�ectsof plasticity of soil." International Journal of Geome-chanics, 5(1), pp.35-44, (in Persian) (2005).

18. Poulos, H.G. and Davis, E.H., Pile Foundation Analysisand Design, Wiley (1980).

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