Plaxis inite element code or soil and rock analyses
Plaxis Bulletin ue 23 / Mrch 2008
Comparison o computed vs. measured lateral load/deection response o ACIP piles Modelling the behaviour o piled rat applying Plaxis 3D Foundation Version 2 Remarks on site response analysis by using Plaxis dynamic module
Colophon
Editorial
3
th Px Bu h b gz Px B.V. h Px U a (nl). th Bu u h u h h gh gg p u h p pp h Px
New Developments
4
pg, u bgu h p Px. th Bu p wh u Px h xp wh
Plaxis Practice
6
Comparison o computed vs. measured lateral load/deection response o ACIP piles Plaxis Practice 10
Modelling the behaviour o piled rat applying Plaxis 3D Foundation Version 2 Plaxis Practice 14
Remarks on site response analysis by using Plaxis dynamic module
h h. th w ub pp h Px Bu h h g. th up hu pb b ub , p x whu g. i hu u h h pp, h () h uh (pb ) h pg uh(). th b h hu b v ppp , , ub. i u, h hu b h h . th uh hu u h h w g. i gu u h x, hu b wh h hu b p ppx h x. th gu hv hv b upp p h x gph (.g. , g, pg, jpg, w, p pb). i bp gu u h uh hu u h h hv u 300 p h z h w b p. th u u gu ug, h Px Bu p u -u. a p gg h Px Bu b b bu@px. b gu :
Plaxis Bulletin / ew B Po Bx 572
Recent Activities 19
2600 an d th nh
Activities 2008 20
th Px Bu h u 13.000 p bu ww. Edtor Bord: Wout Broere Rond Brnkgreve Erwn Beernnk arny lengkeek
2
Editorial
Rond Brnkgreve
The yer 2008 w be yer o mny new ue or P. We trted n new ofce n Det to ctte urther epnon o ctvte; we empoyed new t (Det, a); we pponted new gent (Chn); we ntroduced new ervce (spec Project) nd t but not et, we re workng on new eture nd w reee new product. some o thee ue re decrbed n more det n th Buetn or w come bck n the net Buetn.
i h ‘’ u, pu h Px u wg h h g xp wh h u, ub g h Px Bu . th Bu h bu h bgu u Px 2d 3d pu p gh pp. th hw p bw h u g --p p u u ug Px 3d u. th Hg s wh - w u h bhvu h v- . th u h h b w, bu h p bhvu h p qu h b g h p bhvu. th g pp h 3d u pg. i b hw 3d em b u p u. th b p h u pg pv b v h g uh px u. nvh, h pv g , hz . th h b h u h pj h pb h d u w h p p . th h hv v u p vu h fu h u. th pp pu b h u u h h g Px w gv h b u. i h , h uh gv ugg hw Px u b pv vu gh pp b w. W v hu h uh h ugg w h u p uu Px vp. W wh u g g xp w v w uu Bu.
th e
3
New Developments
New Developments
Rond Brnkgreve
th h w bh h u gh gg
th vp h w-g g b w fw
p. ahugh u 2d, h p-
p pj: p pj h gh g
u ug 3d .
h h/h b 1d 2d (gh) wh p pj 3d b cad xp
s h w u, Px 3d h v . a
b gh . th gup b
h u h 3d tu pg p 3d u, h 3d u-
v. th gup h w h b pu vb,
pg v 2 w g p u
bu h h i w b .
xv pj, ug up p gu h. s h u h v hw 2007, h 500 bg u. h g
th gh 3d wh h p h ub-.
g gh pp, Px w w p u wh
h, h bh u h u pg b u. s bu
u g fxb, pg h u’ p:
b p gu u g h bu h
1. a w-g gh- pu pg b p
bh. i h ub-, uu p
3d u, wh b vu bj p , v-
h ub-. ab xv vu h vu b ug h
b 2009 v xp u.
xv g, b pg 3d bj cad pg. suu
2. a g cad- pu pg, vb 2008 p u wh 3d cad xp.
b w h u pg, bu wh fxb v . dug h g ph h u wh 3d vw h whh h h vb bj. av, bj pp
4
Bh pg b h b 3d p
vw, whh b u bj g pp. Pg
10- (qu) h , whh u wh h Px 3d -
Gg sh up hv hw h 3d wg b 2d wg.
u . i bh pg h xg Px vb. th -
th w Px pg u 3d wg w p uh
h g pph, h gh- cad-.
.
New Developments
Wh pg h u ph, bj wh h h ug csG (cuv s G) gh v ub-vu ub-uu. d u g b whh (ub-)vu, (ub-)uu b v -v. th 3d hg, ug gb , ju b h h u. s u g b g bj, u ph h g. ev g hg b whu h h u ph. th u pv g hg pg p u hv b b. cu p wh h xg Px 3d u . t w uuu 3d h, 10- h hv b p. mv, 64-b v h u w b vb b hu hu . a h g oupu pg (p-p), vb wh 3d u, h b x wh 10- h xg upu hv b p h p . a b v h w 3d pg xp b h 2008. U b-g h pg, P x bv. W w p u bu h pg vp. mwh, h wh cad- 3d g, w pv g g h b Px 3d u .
5
Plaxis Practice
Comparison o computed vs. measured lateral load/deection response o ACIP piles K.E. Tnd, P.E., Prncp Engneer, Kenneth E. Tnd & aocte C. Vpunndn, Ph.D., P.E., Chrmn o the U o H Cv Engneerng Dept.
Introduction v ug --p p (aciP) w h n Gh exp s h Uv Hu pu Hu, tx db 1996. l w p u h p Ju 1997. th pup h w vu h b g u aciP p upp w ubj g w g hghw ub .
Subsoil Profle th P g p w h Bu . th Bu bu 8 p h , u b gg w h mg . th ub bh p wh b . th h g v , h hv b v u .
Ph 1: l tg 0.91 d aciP P th j / u u ph 14 (47 ) whh bw h ph fu h p. th w v w ph bu 2 (6.5 ) bw g h h . g 1: Gz sub P
a p, v u w u hg u b g, h h u w pbb h 5 (2 ) w vu p ug w/ . s h u w wh w h ug p hv . th h w h p wh h w vg - hz . th p w p hughu P m gg , k o vu 3.0 g hv b u h upp 4 (13 ) h . th p ubqu wg u hg p h h pu ph u p . th w vb z . th p hgu, xhb p pp u h h. th j hz - h gh, , pb pp h . th p hv b xv u h h uz g. 1. a u h b b u h wb www.uh.u/g. th b u h b w g h gh/ pp h u h
g 2: P l t lu
6
uu, g ph, pb p ub.
Plaxis Practice
Test Piles and Instrumentation th p g hw g. 2. th n p w 0.91 (36 ) -
i g h p h p h wh , u gh b g
10.7 (35 ) g, h W p w 0.46 (18 ) 10.7
w h p. th b g h 0.46 p w p
(35 ) g. th s p w 0.91 (36 ) 6.1 (20 ) g, h e
x ub 6 v b wh ub 3 p 15 (6 ) . th
p w 0.46 (18 ) 6.1 (20 ) g.
g h 0.91 p w p gh ub 10 v b
th p w ug uu hw fgh ug h
wh ub 4 p 23 (9 ) .
gu 400 1,200 / (16 47 /). i hg
a hw Ph 1, w aBs ub w h p. th w u
h g ph, h ug w w whw wh pupg hgh gh gu
ggg h h g h p p h . B u h
h p. Gug w ug p g , h h
, h p w u b uh v .
pup vu h gu vu g 1 h 2 (vg 1.3).
o h aBs ub h p w u gu u u-
th w v , ( ) h gu x h p
w h p ug h u h ug g.
vu w h u wh vg h p. th gu x w p P , f h, , w fuz. th
Pile Load Tests
pv gh h x w 38 mP (5,500 p), h gh
th p w 28 . th w pp
w 2.0 mP (280 p) 28 .
bu 15 (6 ) bv h gu v h v bg w u h p h ug g. th w pp ug hu j, w u ug . a hw Ph 1, h j w hu pp u. l f h p h w u ug ug gug u h b h p wh h p w b. th bw g w u ug . th e & W p (0.46 ) w 4 bu 55 n (12 p), h w h p 15 u. th p w h u b “0”, h w 4 u w g. a g, h w bu 95 n (21 p), h g 4 . th p w u h f x 90 (3.5 ). th n & s p (0.91 ) w 4 bu 172 n (39 p), h w h p 15 u. th p w b bv, h h w bu 300 n (68 p) 4 g. th p w f 25 (1 ). th /f hp hw gph g. 3 & 4. dug h
g 3: l -f uv e & W P
g, h f w h h hw h gph . n h - p f u bu 60 n (14 p) h e & W p, bu 200 n (45 p) h n & s p. th /f p h n p w gh h h h s p. Hwv, h /f p h W p w h h e p v hugh h 4.6 (15 ) b. th uh pu h ub v w p v hugh h p w 4 (13 ) p. Php, h u h w uvb p h W p. Hwv, h u hv b u h p. th g h p hg ph bu 2.1 (7 ) bh h e & W p, v hugh h W p h 4.6 (15 ) b. th p hg ph bu 4.5 (15 ) h g s p. th ub h n p w pugg ug gug, hu w vb h p. Hwv, h /f p w h n&s
g 4: l -f uv s & n P
p h u h h hg u h ph.
7
Plaxis Practice
Comparison o computed vs. measured lateral load/deection response o ACIP piles
Contnuton
FE Analysis th u p h e h s p (p p)
- ev p h v w u pu, bu h
hw g. 5. th u w p ug PlaXis 3d u V.2 wh
w p ug h u u h p g.
bu 2,000 . th hg w u h
- i, p w t o’n’ pubh h
v .
PlaXis Bu 14 (sp. 2003). P u w h p u g g w b wh h /f p h p. th p w g g wh h p p, bu x, bu h w v h ub gph h ph w h hz p h h v u p. th p u h e uz g. 6. - th g w u h f h w u. - th g w h h h . Hwv, 2 /u w pu u h h h /f uv w
g 5: tp e mh
. - a h g, h p w h u .
th uh pu h h h p h /f p uh h gh h ub. t u ’ fu, h p w u p wh h. a w wh h quv
Subsoil
ei h b w pu h h b. a p ug pp h p . Hwv, h w b v g ugh h . th u h , h ug p g f u h ppg. th u b ju f h h p whh v
Stiff clay Stiff to very stiff clay Very stiff clayey sand Very stiff clay
h uh B’ pu u h uh b-- u pu u. o bjv h u
Very stiff sandy clay
c' kPa (ksf)
19.1 (0.4) 19.1 (0.4) 28.7 (0.6) 28.7 (0.6) 28.7 (0.6)
!' (deg)
!
(deg)
20
1
20
1
30
2
20
1
30
2
Gref
Eref
Eref
o
Eref
50
oed
ur
mPa (ksf)
mPa
mPa
mPa
(ksf)
(ksf)
(ksf)
48 (1000) 96 (2000) 144 (3000) 192 (4000) 240 (5000)
9.6 (200) 12.0 (250) 16.8 (350) 14.4 (300) 16.8 (350)
7.2 (150) 9.6 (200) 14.4 (300) 12.0 (250) 14.4 (300)
27.5 (575) 34.5 (720) 69.0 (1440) 41.4 (865) 47.9 (1000)
vu whh h p b h h u ju ug h e u.
g 6: opz s P
th b p h h b p h gu w ug PlaXis 2d V 8, h wg p h mh-cub w b u u b b g h - :
Young’ Moduu
Coheon
φ
Tenon
7
7.2 mP
40°
1.9 mP
(150 )
-
(40 )
2.5 x 10 mP 5
(5.2 x 10 )
th wg b pu w u ug h e : - th ko w g ug 0.3 (1 ) h “u ” wh u wgh 943 n/3 (6,000 p) h ph. thu, h gv g u p pu 216 P á (6,000 p). th w h u h ubqu u. th e pu k o w 2.9 1.2 (4 ), 2.6 3.6 (12 ). th vu b w wh h p h U H b.
8
g 7: cp l/df cuv s P
m
vur
If
8
15
6
8
15
6
8
15
6
8
15
6
8
15
6
Plaxis Practice
Results a gph h e pu /f hp h s p hw
x h u . th bv hghgh h vg u-
g. 7. th n p w bu bh h uv h g
g pp uv h gu h h v
e u p p h h. th e pu /f p
u u ug e g.
h p whu h h hw p pup. a, h /f
th g u p u, p g h -
p pu ug - p h gu hw.
pu h pu. e b xp h /f
a gph h e pu /f uv h e p hw g.
p wh ±25 p b bu h / bhv
8. a pvu u, h W p pp b hw. th
v px, h u g ppp gh/
w h ub v h p, h w u
pp h wh h b . a, h gh/-
h p.
pp h p u b pp . i pb h h gh b h b p pp h u u w h h u.
Conclusions th e pu /f p h aciP p bg v w wh u h u . th hg PlaXis 3d u b u pg h / f p p. Hwv, h b p b aciP p wh g f g ugh u h gu.
Reerences: - k.m. H, m.W. o’n, c. Vpu, sp dg c g 8: cp l/df cuv e P
h cu cuu gh aug P h Hu a, Ha p UH 3921-1, 1998.
a gph h u e pu hz p wh ph h s & e p hw g. 9. n h e p h p hg bu h ph u h g .
- l.J. mh m.W. o’n, Gh chz d c, Ju Gh egg, asce, Ju, 1983, pp. 56-71.
th e pu /f p h p ug h pz p x g wh h g . Hwv, e u p h f h hgh .
- m.W. o’n, n Gh exp s – Uv Hu, Gh sp Pub n. 93, 2000, pp. 72-101.
th uh pu h h p h e h h p. th h gu h b pu h h gu wu u h h p ug h e g ph. Hwv, h h h h h e h p h p pbb h h wu b xp bw h b u g h p. a, PlaXis h pubh h h u p hv h e g h h bhv h wu u u ( Px wb). th e pu /f p h aciP p whu h h w wh h h p. th u bu h u ug gg h b, h h f u ug g g h . th e pu /f p h aciP p ug pp h gu w b h h p . th u bu h v w bg u wh h bz
g 9: d wh dph
9
Plaxis Practice
Modelling the behaviour o piled rat applying Plaxis 3D Foundation Version 2
Yer E-Momy, aocte Pro., an shm Unverty, Cro, Egypt c/o aRCaDis GmbH, Berner aee 6, D - 64295 Drmtdt, Germny y.e-momy@rcd.de
Introduction th qu gwh h w v h w p h ub hgh hgh bug v uvub ubgu . s h 80', w u hqu, h - p , h b vp u xv u h xu w h h g h bug. th p v g xp h -uu h qu h -p bw h gh uu g h h u . eh u p v h uh px u . th p u h hw v v gh u p, wh h uu p b h p p b h . th u w uu pp w ub. a vv pp h p p ju u wh g v p bug v h px j p bw gu w b.
gu 2: s bhv hgh- bug u, G cu pu h bhv uh px h- pb hv b vp h 1970 (.g., b Bu Bj 1971, Pu dv 1980 rph 1993). Bu p qu g h , h bhv h p upp h p vpg g h gu 1: Pp p
p h v u wg w u h . h pv u b h
th p p gh u g p,
h pp g u bv (e-m
. gu 1 h pp p u h
1996).
(.g. p/p p/) h gv bhv. a 3d hqu wh h ppp uv w p-
10
exv u h h p u ug
pwu h px -uu pb. nvh-
h u w p v h g p pv h
, h vg ppg h 3d e h hug ub
vb qu. th p u xv pp ub
vu whh x h vb pu p. t v h
u hqu hgh- bug u, G hv
pb, w hqu b h b p wh h 3d
u h u h b w h vb qu. th u
w vp b Px B.V. u h Px 3d u v
h p p wh
2. th wg p xp g h b h pg
w p u hw gu 2. th αl pg h
wh px p . a h u w b v ppg
b h p v h uu .
h pg.
Plaxis Practice
Foundation and subsoil conditions
Gener normton
Hgh () u (2) r h () u ph () Guw
114 1930 3.5 - 1.0 -15.75 - 6.0
s
3.5
n p
25
P gh ()
22
P ()
1.3
gu 3: G u
Frankurt subground and methodology to develop the piled rat
Geometry
m h hgh- bug u u h - u ,
th u h bug h bu 1930 ². o 25 g
whh vp 2 10 g u h h t
b p w u bh h p u. th p g-
h mz b. i h w , h u up 100
hw gu 4. th 3.5 h h 1.0
u b, g u . th gu-
h g. th b ph 15.75 bw h u. th p
w v ju bv h u u h u
wh g wh 1.3 gh 22 . th wg
b ug qu pu. th g-
h bu 900 mn.
g v hugh , v .
Example o a high-Rise Building on Frankurt subsoil th 120 bug wh 4- ugu b h l hp (g. 3) wh bu 7.0 . appg h p p u w pb u h u whu j bw h w h j 4- ugu gg. th p w p bw h w b h .
gu 4: u p g
11
Plaxis Practice
Modelling the behaviour o piled rat applying Plaxis 3D Foundation Version 2
Yer E-Momy, aocte Pro., an shm Unverty, Cro, Egypt c/o aRCaDis GmbH, Berner aee 6, D - 64295 Drmtdt, Germny y.e-momy@rcd.de
gu 5: 3d e-m
gu 6: app
gu 7: u u wg
Numerical model so Prmeter
inpect output
th - hp w ppg h Hg . th
th hu b g ug h k0-pu. a vu k0 = 0.8
vg h uv w b h ph
pp h v. th h u -
h bhv. h p ,
h vg h u wg (vb ).
w pp ug h wgh . th u
gu 7 h u wg .
h p u wh 60 P h p h wh ph h 120 P h p p. th u p b w qu
s bu 4 u h . th vu g w wh h
2.0 mP.
u vu ppv h b h h p h h p p h u g. gu 8 hw h
12
3D Fnte eement mode
bu g h vu p wh h p gup. i b gz
W-p . th W-p h v wh u
h h bu h g p b g h v . th u
h g h g u h u h u p-
h p h u w h w hg , whh
. gu 5 hw h pp h h. th
u wh h u . th h u w b vg
g gv gu 6.
b ppg w whh h u w .
Plaxis Practice
Conclusion and Outlook
Some related reerences
th u xp hw h ug h h b-
- Bu, J.B., B, B.B., m, V. (1977) Bhvu u u-
w u ub b h ppp h wg
u, s--h- p, P. 9h icsme t, v. 2, 495 - 546
xp pp u hqu u g h qu g uh px u.
- Bu, r., Bj, P.k. (1971) "th pb p gup-p p ." Géhqu, V. 21, n. 2, pp. 135-142.
th p u b ug h b p h vb Px 3d u. th u hu b uh p wh wh h p
- din 1054-100 (2005) Bugu: shhhw e- u Gubu
ug vu . th hz vg h . th b p hp u h qu ub h px h
- düwg, r., e-m, y. u rg-Bhh, m.(2007) nu e zu Vugvh u t, Buh, V.3, 190-192
u p . th xp wh h p hu b gh wh h g h Px u. th h hg h bhv p uh vg.
- e-m, y. (1996) e Bhug zu tgvh b Ph-Pgüug., d, hbh Bugu-w thh Hhhu d - e-m, y., luz, B., rh, th. (2006) ivv pp g p u. 10h i c Pg dp u, (31 m - 2 Ju 2006), a, nh - e-m, y., e-nhh, . ew, a. (2006) ivv U P r u opz h dg Hgh-r Bug. 10h ab suu egg c, 13-15 nvb 2006, kuw
ou p - e-m, y (2007) P u u . V u, Px 3d u, V 2 - , e.; e-m, y.; W, P.(2000) cu h u G. dg pp u gu b, e b H, Pubh b th t l, l, 2000, p.p.283-322 - Hh, J., kzbh, r., u kög, G. 2002. kb Ph-Pgüug, i Zub ab „Päh“ duh Gh ü Gh .V. (dGGt), e & sh. - Pu, H.G., dv, e.H. (1980) P u a dg. W, nw y. m p
- rph, m.. c, P. (1993) e g p . P. 2 i. s, dp u, Gh, 119-130.
gu 8: ru bu g p
13
Plaxis Practice
Remarks on site response analysis by using Plaxis dynamic module Cro VisONE, Ph.D. tudent, Deprtment o Geotechnc Engneerng, Unverty o Npe Federco ii, Npe, ity, cro.vone@unn.t Emo BilOTTa, Reerch atnt, Deprtment o Geotechnc Engneerng, Unverty o Npe Federco ii, Npe, ity, bott@unn.t Fppo saNTUCCi de MaGisTRis, lecturer, Deprtment s.a.V.a. – Engneerng & Envronment Dvon, Unverty o Moe, Cmpobo, ity, fppo.ntucc@unmo.t
Introduction d e b h p vb u h p h p gh , h gv bh h bu . Hwv, h qu pp uv , qu hz b u b , pp h pu. th u hw b b p h gv ubj g. Px 2d v.8.2 (Bgv, 2002) h u h u w u h h. a v ppg s-wv hgu w u. th h w h bu h u h pb vb u p b . th fu h p bu , h , pu g g pg p w vg. th b h p b p b u h
gu 1. ap u v g b
h gh ubj g.
PHYSICAL PROPERTIES !
STIFFNESS PARAMETERS
RAYLEIGH DAMPING
E
[kN/m3 ]
!
"
[kN/m2 ]
141
-
-
4.889x10 5
G
Eoed
[kN/m2 ]
[kN/m2 ]
[m/s]
[m/s]
1.88x10 5
6.581x10 5
3615
6763
"
3
V S
V P
tb 1. m pp h l e
Reerence theoretical solution V - ppg h wv v- hgu h g b b b h qu b p u. th h uu h u h h h u pu h u h pg p h b . th, gv v- u gv g h g b h h u b b. , h u pu h pu g pu. th, h u up b h p u h h gv b h v u h pvu pu. i h pp h u (, ρ u wgh , γ; h wv v, Vs; pg, d) g ( h, H) w, h p u uqu . g b wh h wg p: H =16 ; γ = 14.1 n/3; ρ = 1.44 g/3; Vs = 361.5 /; d = 2 % h p u (r, 1970) :
1
A(f)=
2
cos2
2π
H Vs
f + 2π
HD
f
Vs gu 2. s pu: ) -h; b) u pu
14
Plaxis Practice
gu 1 hw gph p h p -qu p.
th h g Px u u b bu gu
H, h wg gu, w v h h
pu, whh u “uuu” h. i h h u h p
u qu h . i h pvu hph, h h
, h b p h 15- gu . th
u qu h :
g b b z. B ubvg h hgu ub- wh x h b ug h z, pb g h g xu z. a vg h pv g h h h “avg e sz” (aes) h p vg gh h h p.
Numerical modeling
ev u p, h h fu u b .
3.1 input gn
kuh & l (1973) ugg u z g h λ /8,
i u pu, h hqu g w p
wh λ h wvgh pg h xu qu f . i h
-h h b h .
λ /8 = V s /8 = 1.81 , bg Vs= 361.5 / = 25 Hz. i h h
H, h pu g h u h g
p w aes=1.58 w u.
h
tzz s (u ehqu, i, m 6 , 1976). th pg qu 200 Hz, h u 36.39 h p 0.315 g.
Results o dynamic analyses
a -h u spu h g p gu 2.
ch . (1977) hv hw h h gh bu swv pz hz p ppgg v h v x.
3.2 Fnte eement mode
Hz p u b w. i qub h hz h
th p gu 3. i u b gu
g bu, ub u bu
80 w 16 hgh w , p
h -h gh-h v bu. i h , h p
ugh h bu ( wh 240 ). th hu hp zg h
u p p h u h h . gu 4 p
fu h bu h b u, v hugh
h gph bu uz Px.
x u h p. r, a . (2007) hv hw
th u uh bu pg p ugg b
p whh h hv x h wh h h gh
kuh & l (1973) p b h pg p h
hgh, b pb u.
wh u.
th u hz l e h p h Px
i u u w p pg x: u pg, u
. i p tb 1.
u, pg, u vu pp, -
th g w b b h 0-pu whh h vu h
vp p.
h pu , 0 w h b h w-w u h
i Px ( e ), h pg u wh h
u:
w-w rgh u. th pg x c u b pp x m x k b w , αr βr g :
80m
80m
80m
16m
d x vu h r gh ( lz ., 2004; P & Hhh, 2004; a ., 2007). i qu, h p b h h h p g x.
gu 3. uz h
i h u p pb, h u h g u p b u h u p. exp p g w u g h. i Px, h nw p p g h p. Wh h h, h p h v h p + Δ xp -
gu 4. Hz dp (Hd) bu e m
pv :
15
Plaxis Practice
Remarks on site response analysis by using Plaxis dynamic module
Contnuton
1 2
th αn βn, whh hu b u wh rgh , h u u g. g h p, ugg pp, . tp vu (B ., 2005): ) αn =1/6 βn =1/2, whh ppx ( b h); b) αn =1/4 βn =1/2, whh vg (u b h); ) αn =1/12 βn =1/2, h x-Gw h, whh uh u ( b h); i p u h u u p, h nw h w pp b Hb . (lUsas, 2000), ug w p γ (α h h uh), whh u p p. th g nw h b h α-h nw HHt . th α-h u b g h h w nw p xp u h p γ, g :
wh h vu γ bg h v [0, 1/3]. B ug γ=0 h
gu 5. sg u up : ) -h; b) u
nw h wh h g nw h wh vg
spu
. mv, b b u, h wg u pp h Px : 2
α N ≥
1
1
4
2
+ ß N
nh h ppx h x-Gw h uh qu. i pg, / u, u , h h h h u qu h wh pg h p . gu 5 hw h p p h -u b up ( αn = βn = αr = βr = 0) h -h h u pu u
16
h pu g hw gu 2. th u u v h xp
gu 6. ifu nw u pg p u
h vu.
h
Plaxis Practice
th g Px h p nw h wh αn = 0.3025 βn = 0.6, h p γ = 0.1. gu 6 xp h u u h vu γ. rgh w pu qu z. Wh γ , h p p h u qu h . Hwv, h hp p u . th u pg h b u Px (b uv gu 6) u p (a=7.97 =16.55 Hz) h h h (a=10.54 =16.95 Hz, gu 1) p h u qu h . n h h vu u qu h u u b h . th u h u wh up (r, 1977). th u qu wh up u, whh p Px, w h h u qu. c v h. th u
gu 7. ifu pu g g p u h ( γ =
h u wh h ub vb .
0.1)
nu pg h g fu h p gh h u hu b pu wh hqu g b p p. i , u h u , g h qu (.., g wh u ub g p) u h pu . i h , u hu b w h h qu b nw , uh v h p qu h g. a p h p p g 25 Hz g p gu 7. gu 8 hw h p u h vu rgh pg αr. th βr gv qu z vg xv pg h hgh qu. th u u pg γ = 0.055. th vu h b w u b g g bw u h vu h p h p h u qu h hw g. 10. th u wh hz p (Hd) bu -
gu 8. ifu rgh pg p u
b -p wh p h bjv h u.
h ( γ = 0.055)
i 2-d gu h pb hu b x, hz x h h gh h h u b pp. i h , bu u u . d h x pp bu (r, 2004). i Px, vu b bu b u, whh b h h b b l & kuh (1969). B u, x 1 2 1.0 0.25, pv. B pg h bu u h z, h u h f wv bu b g. a p h u wh s ehqu Bu seB (g. 3) Hz dp Hd (g. 4) bu p gu 10, b ug u vu 1 2. i ugg h b u b b ug Hd h h seB. gu 9. cp bw u h u d=2%
17
Recent Activities
Remarks on site response analysis by using Plaxis dynamic module
Contnuton
Reerences - aoo a.,e G., Bo d., so m., loo P. (2007). su’ po o o oo u. Po. o iarG 2007 so, iy ( i).
- B d.B., ag e., Gçv e., (2005). e sh Pg su. a p wh xp u, mecom 2005, Viii cg ag mà cpu, e. a. lgu, v. XXiV, Bu a, ag, nvb 2005 - B e., lz G., ru G., su mg ., sv . (2007). mh h v u u gu, Whp ertc12 - evu c h app ec8, sp s XiV ecsmGe, m, 2007. gu 10. cp bw seB Hd bu u
- Bgv r.B.J. (2002) , Px 2d v8. a.a. B Pubh, l, 2002. ch J.t., r J.m., d c.s., (1977). tw- th-d d
Conclusions
a, nu mh Gh egg, chp 20, pp. 683-718,
th u u h p gh
e. d c.s., ch J.t. - mGw-H
p v hz u wg. i g b h u b ug
- kuh r.l, l J. (1973). e mh au Wv Ppg-
p 2-d pb. s p (quv , u
Pb, Ju h s mh u dv, v.99 .5, pp.
pg, .) b h b pg h p
421-427
u v h wv ppg h h u. i h p , xp pu b h p h b p-
- lz G., Pg a., d’e B. (2004). l’fuz z rgh
h pg.
z v p , anidi s, Xi cg n-
m pg b rgh u. mv, u -
z “l’igg s i”, Gv 25-29 G 2004 ( i)
pg b u. th u
lUsas (2000). th mu, ea l., U kg
h u pg h u . a pb h uh u h u vu nw γ whh w b, h h h u. th b hv b ug rgh β=0 hgg
- l J., kuh r.l. (1969). d m i m, asce, Ju egg mh dv, pp. 859-877
rgh α , h pg wh b ppx h g qu. th b- b, , pug h p h g v h u qu
- P d., Hhh y.m.a. (2004). s dpg u n t d s rp a, Ju ehqu egg, v.8 .2, pp.249-274
h . mg bu g pu g b u wh pg uh b. th pp pph w p u h gh
- r, J.m. (1970). u s ap, : s dg . nu Pw P (r.J. H, .), th mit P, cbg, ma, pp. 183-244.
hqu pb h p fxb h g uu (V & su mg, 2007) h v u u gu (B ., 2007).
Acknowledgments th w p rh Pj u b rlUis (i Uv nw
- ro J.m., (1977). so apfo o ehquk, nu mho Goh egg, chp 19, pp. 639-682, e. d c.s., ch J.t. - mGw-H
- r m., (2004). mg mh s Bu i m, asen 5519-006: u-suu i, Uv c Bu
s egg lb) cu. th auh wh h h , p. s av, h uu upp h uu u.
- V c., su mg . (2007). s p g h fxb h g uu, Whp ertc12 - evu c h app ec8, sp s XiV ecsmGe, m, 2007.
18
Recent Activities
Recent activities
Plaxis Asia
Plaxis on the move
Px exp “Px a” o. s 2006 d. W chg w vv
t b b u h Px bv v w bug. d
p v a u. uh W u g
Px bv Px a b u u pg u
up qu p Px pu v v , u -
wb.
. 2008 Px bv pp m. e t hv h h bu vp g v h p’ Px pu
Plaxis Events
v. th bh g p pv pu
l u ww xp Px u u 2 u b u
upp Px u pp h a .
l a (Bz cb). i 2008 w hv x cu Pg
Px g h a g p bu xhb g
u wg h bgu ug Px pu. P
gwg Px pu v u.
v u g h b v h bu h wb g u vvw
Px a v 2008 ;
h upg Px ev. W hp u u w
t HQ gg h upp a
h bv v.
- t pv b v & upp g a - t pv g & g - t pv h upp g - t hv wh h u u - t g g u Wh h bh Px a, h j u w b h h g h gg u a. ahugh g h b 5 g ch, w h pp ug h hgh u u h . a g p ch J 2008 h v u b h hz. W hv p u w bg pv p uh h W ru , pv gvw e Pw g u w g u, wh h h p em pp h w. W h ppu u h pj pb ug h vu g h w. W h Px w b w u b pv g ch ju h gh g u u h w”.
nw H Qu Px bv
Phgph P rug
Phgph P rug
19
Plaxis inite element code or soil and rock analyses
Activities 2008 mh 9 – 12, 2008 Gi-Gcg 2008 nw o, Usa
Ju 2008 cu cpu Gh Guj, mx
mh 10 – 13, 2008 i cu exp Px u awp, Bgu
Ju 15, 2008 s Phpp Phpp
ap 2008 s chgq, shgh, Bjg Gugzhu ch
augu 2008 cu cpu Gh Hu, Usa
ap 10 – 12, 2008 tc28 shgh shgh, ch
augu 2008 cu cpu Gh tw
ap 2008 s nw dh & mub i
spb 3 – 5, 2008 amGiss, 2 i Whp Gh s s Ggw, s, U kg
ap 29, 2008 s l/ Ggw U kg
spb 7 – 10, 2008 euG4 ebugh, s, U kg
m 4 – 7, 2008 13h au tug c 2008 G H, mbu, au
spb 15 – 18, 2008 11h B s Gh c G, P
m 8 – 9, 2008 4h c av app Gd ibz, sp
spb 2008 cu cpu Gh nw dh, i
m 14 – 16, 2008 cu cpu Gh P, i m 18 – 22, 2008 Gi-Geesd iV s, ca, Usa Ju 2008 s V V Ju 17 – 19, 2008 nu mh Gh egg mh, U kg Ju 10, 2008 cu exp Px U su, suh k Ju 23 – 25, 2008 sat 2008 s P, B Ju 2008 ru U c s. Pbug, ru Ju 2 – 4, 2008 e-U 2008 duh, U kg
spb 22 – 27, 2008 ita – aites W tu cg ag, i ob 1 – 6, 2008 12h iacmaG G, i ob 8, 2008 ugg e, th nh ob 13 – 15, 2008 nUcGe 2008 s, ag ob 2008 cu cpu Gh Jp
Plaxis BV Po Bx 572 2600 an d
nvb 5 – 7, 2008 15h eup Px U mg kuh, G nvb 2008 cu cpu Gh shgh, ch
th nh t: +31 (0)15 251 77 20 x: +31 (0)15 257 31 07 e-m: @px. Wb: www.px.
nvb 2008 cu cpu Gh P,
8 5 7 6 0 0 8
