knh hirdng dong thdi cua khoi lirong nen va do gho ghe i a t dam den ufng xi^ dong lire hoc cua dam Euler-Bernoulli ren nen dong lUc hoc chju tai trong chuyen dpng
^ le Influence of mass density ofthe foundationand roughness ofthe beam surface on /namic response of Euler-Bernoulli beams on dynamic foundation subjected to the
^ oving load
ay nhan ba); 19/4/2017 ay SLTa bai: 5/5/2017
ay chap nhan dang: 5/6/2017 Tran Quoc Tinh, Nguyin Trong Hieu,
Khong Trong Toan
va d o go ghe Iren mat dam len dap flng phuong pliap phan tti chuyen ddng cai MTAT
•ng bai bao nay, phuong phap phan til chuyen dong cai tien (IMEM) dKOc stl dyng de phan
• flng xfl dpng hQC cua ket cSu dam Euler-Bernoulli tren mo hinh nen dong Iflc hgc chm tai ig chuyen dong, Anh hildng cua cac dac tinh m o hinh nen nhti thong so dp cflng dan hoi ikler, liSp cat dua tren m o hinh Pasternak, can nhcit va thdng so dac trUng khoi Iflong nen
phan tH dam dfl^c m o hinh la nhflng phan tfl chuyen dpng c6n tai trpng thi co djnh. Dfla 1 nguyen ly can bang cong ao va ly thuyet cua phuong phap phan tfl hflu han, phuOng trinh hSn chuyg'n dong cua he dUOc thiet lap va giai bSng phuang phap tich phan s6 dua tren it todn Newmark Anh hudng cua khoi Iflong
g cua dam dfloc khao sat mgt each chi tiet khoaiMo hinh n e n dong liic hpc, khoi Iflong . dg g6 ghe, tai trpng chuyen dfing iTRACT
his paper, Improved Moving Element Method(IMEM) is used to anaSyie the dynamic onse of Euler-Bernoulli beam structures on the dynamic foundation model subjected to the
•ing load The effects of characteristic foundation model parameters such asWinkler less, shear based on the Pasternak model, viscous retardation and mass density parameter le foundaiion Beams are modeled by moving elements while the load is fixed. Based on tlie ciple of virtual public balancmg and the theory of finite element method, the motion rential equation o f t h e system is established and solved by means of numencal integration d on the Newmark algorithm The infiuence of mass density of the foundaiion and
;hness ofthe beam surface on the dynamic response of beams is exammed in detail.
words: Dynamic foundation model, mass density of the foundation, improved Moving
lent Method, roughness of beam, movmg load.
1 Quoc Tinh, Nguyen Trpng Hieu
a Xay dflng, Trfldng D?i hoc Cong nghe TP HCM ng Trong T o a n
,1 Xay dflng, TrUdng Dai hoc Cong nghe TP.HCM
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a] NSn Winkler QI M n iroio ihUc tS Hinh 1. Ciiuyen vi tiia nen dan hoi dum tac dung lai ptian bo deu M o t I f o n g n h f l n g each d e k h i c p h u c h a n ehe t t o n g m o h m h n e n Winkler la t i m each m o ta sU l u o n g tac lien tuc gifla eac 16 xo b a n g each dUa t h e m vho mat tren cfla l d p 16 xo m o t I6p khOng khfii l u o n g n h u d a m c h i u u o n , Idp m a n g chiu kSo, Idp c h i ch]u c3t hoae xet d e n k h i nang t r u o t cua flat n e n , cae Iflp nSy c d t h o n g sel k h o n g d o i va dac t r u n g c h o 5U t u a n g tae hen t u e cua cac 16 x o t r o n g m o h i n h nen Winkler, t h o n g so nay d u o e g o i la i h o n g sd t h f l hai.
Khoi n g u d n y t u d n g nay, Filonenko-Borodieh (1940]|21 da m d t i su t u a n g tac hen tuc cfla cac Id no b i n g cach dua vao m d t Idp m a n g m d n g d a n hoi chiu keo bfli m e t luc c a n g hSng sd T Tiep sau do Pasternak (1954) [3131 g i i t h i e t rang be mat t t e n c u n g cua c i c Id xo ket noi hoan l o a n v d l m d i l o p d a m ma Idp d a m nay chf c h i u b i e n d a n g trUot co m d N h U n g dac d i e m c h u n g cfla cae m o h i n h nen nay la k h o n g x e m net d e n anh hUdng cua khoi l u o n g dat n e n len flng uu eUa ket cau ben tren.
NhUng nam gan day S o Kien Qu6e va Khdng T r o n g Toan (2005) [41 da d u n g t h u c n g h i d m e h o t h i y k h o i l u o n g n e n t h a m gia vao d a o d d n g la CO a n h h u d n g d a n g ke d i n u n g x f l d g n g lUc hoe cua t a m . Tiep t h e o d d Pham D i n h T r u n g va H o a n g P h u a n g Hoa (2016)(51 c u n g lai d u n g thuc n g h i e m xae d m h t h o n g so a n h h u o n g cua k h d i l u o n g nen len dac trUng d d n g hoc cfla he m d t bac t U d a , ket q u i c u n g c h o thay r a n g i n h h u f l n g cfla t h d n g sd dac t r u n g eho i n h hUdng eua khdi l u o n g nen CIF len d^c trUng d d n g luc hoc cfla he la d a n g ke.
N g u y e n T r o n g Phudc va c d n g s u (2014) [6]da h e t h d n g hda cac m d h i n h nen va fle xuat m d h i n h nen m m d u n g i r o n g bai t o a n p h a n t i c h flng x f l cfla ket eau tUOng tae vdi n e n , tac gia da d e xuat m d h i n h nen m f l i c d xet day dil cae t h d n g s6 nhU d o cuTig 6kn hdi va t h d n g so d o cflng l d p cSt d u a t r e n m d h m h Pasternak, h ^ sS c i n n h d t cua n e n v i d i e b i M c d xet d e n i n h h u d n g cfla k h d i l u a n g n e n l S n f l n g x u ' c C i a h e k e t e a u d a m d u o c g n i la m d h i n h " n^n d d n g luc hoc".
Tiep ndi v d i n g h i e n cflu tiin, N g u y e n T r o n g Phude va c o n g su (2014) (7}da p h a n l i c h anh h u d n g efla t h d n g so k h o i l u a n g n e n t r o n g m d htnh nen d f l n g lUc hoc len d a o d d n g n e n g eua d a m K i t q u i cho thay t h d n g so khoi l u a n g nin cfl I n h h u d n g d a n g ke len dae t i n h d d n g hoc cua d a m , l i m t a n g khdi l u i j n g d a o d o n g t d n g t h ^ cfla d i m , I U d o l a m g i i m tin sd d a o d d n g n e n g cfla he
Koh va c d n g sU (2003) I8|da d e xuat y l i f d n g ve h e t p a 3 6 c h u y e n d d n g t r o n g viec g i i i q u y e t b i i l o i n p h a n tich flng x f l d d n g cfla tau-ray, p h u o n g p h a p nSy d u a c goi la p h u o n g p h a p p h a n t f l chuyen d d n g MEM ( M o v i n g Element M e t h o d ) T r o n g d d d u f l n g ray d u o c x e m n h u d a m Euler-Bernoulli d i i v d han tUa t r f i n nen Winkler vh t a u d u a e d o n giSn hda b d i m d t h e t h o n g "khdi l u o n g - l d xo-can n h a t "
L u o n g Van H i i va c d n g s u (2013) !9], D m h Ha D u y (2013) |10)da p h i n tich flng x f l d o n g cfla t a u cao tdc c d x ^ t d e n d d c o n g t h a n h ray va t u o n g t i e v d i dSt n e n C i e t i e g i l da sfl d u n g p h u a n g p h i p p h a n t f l ehuyen d d n g MEM ( M o v i n g Element M o t h o d ) t r o n g viec k h i o sat flng x f l d o n g cua t a u cao t d c Va g a n d i y , Nguyen Tuan A n h (2013) [11J da p h i n n'ch d o n g luc hoc t a u cao tfic c d xet d e n d d nay b a n h xe va t U o n g tac v d l d a t n e n Le V i n T h i n h (201 Sl (12] da p h i n l i c h d a o d o n g d a m Euler-Bernoulli tren nen d a n n h d t phi t u y e n bac ba chiu tai t r o n g c h u y e n d g n g M d h m h bai l o a n g d m co d a m Euler-Bernoulii m d t n h i p t t e n n l n d a n n h f l t va t l i t r o n g la lUc c h u y e n d d n g vdi v i n tdc k h o n g d3l q u a d a m Cac n g h i e n cflu n i y d i i p d u n g p h u o n g p h a p MEM d e p h i n t i e h flng x f l cfla he t a u - r a y
M d i d i y , N g u y e n V a n T h a n h (2016) [13] d i p h i n tich d d n g lue hoc ket cau d a m t r # n nen Pasternak c h i u t a i t r o n g c h u y e n d d n g k h o n g dieu
sfl d u n g p h u a n g p h a p IMEM ( I m p r o v e d M o v i n g E l e m e n t Mothod). T i giJi da I r l n h bay m d t p h u a n g p h a p m d i , d u o c p h a t t r i e n t f l phudr^
p h a p MEM, n h i m flua ra p h u a n g p h a p g i i i p h u o n g t n n h vi phan diii d a o m f l t e^ch n h a n h h o n , tiSt k i e m t a i n g u y e n h a n .
T r o n g k h u 6 n k h d bai b i c nay tae g i i se sit d u n g p h u a n g p h i p phan t f l c h u y e n d d n g c i i t i e n IMEM ( I m p r o v e d M o v i n g Element Method- IMEM) ai p h a n t i c h flng x f l d d n g c h o ket c a u d a m t t e n n e n d a n n h f l t l ^ t h d n g sd c h i u t l i t r o n g c h u y e n d d n g c d x ^ t d e n I n h h u d n g d d n g tl)l<
cfla t h d n g so dac t r u n g cho k h d i l u o n g nSn vS I n h h u f l n g d o s u g o g l i e cfla b e m a t d a m . Cae ma t r i n k h d i l u o n g , ma tran d o c f l n g v i ma tran c a n c h o p h 3 n t f l c h u y e n d d n g c u n g d u o c t r i n h bay chi tiet C i c ket qui t h u d u o c se la lai lieu hUu ich c h o viec n g h i e n cflu va t h i e t ke c i c k i t can d a m c h i u thi t r o n g e h u y e n d d n g t r o n g t h u c t l
2 . C O S d L ¥ T H U Y e T
M d h i n h d a m t t e n n l n d a n n h d i hai t h d n g so eo ke d e n i n h huSng khdi lUOng nen g o i t i t nen t r l n la " n e n d d n g lUc h o c " M 6 hinh nen d d n g lue hoe e6 xet d a y d f l c i c t h d n g sd n e n n h u d o cu'ng d i n hoi k,^
d o e f l n g l d p c a t k „ c a n n h d t c , v a t h d n g sd khSi l u o n g n e n t h a m gia daa d o n g m
Ket eau d a m Euler-Bernoulli c d c h i e u d a i v 6 h a n c d m d d u n danhS E, m o m e n t q u i n t i n h 1 va khoi l u o n g t r l n c h i l u dai m , ket cau d i m dudc T m h l i l n tuc t r o n g m o h i n h n l n d d n g luc hoc nay dUOC d i e trUng b f l i t h d n g so cfla Idp c h i u c i t k^ d u a t r l n t h d n g so l a p cat cfla mo hmh n l n Pasternak. T h e o N g u y i n T r o n g Phuoc va c d n g s u (2015) [6J.
p h u o n g t n n h bieu d i e n m d i q u a n h e gifla luc va c h u y e n vi tai moi viln nen d u d i t i c d u n g cfla t l i t r o n g q(x,t) dupc b i e u d i e n n h u sau,
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I 'ii mil 1111 .111 iiiiii 'i|iii"i ii!ini':ii. "
Hinh 3 Mo hmh dam tren nen d6ng lite hoc thiu Hi tmng thuyen dong Khoi l u o n g t i p t t u n g m t h a m gia d a o d p n g i r o n g m d hinh nt d o n g luc h o c d u a c l h e h i l n n h u s a u
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Lue t u a n g tae F, (cii xet d e n d d g o g h e tai d i e m l i e p xuc giila tai t r o n g c h u y e n d d n g va d a m ) d u a c xac d m h t h e o Koh et al va c d n q su ( 2 0 0 3 ) [ 8 ) n h u s a u -
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V i l e g l i l p h u a n g t r m h vi p h a n c h u y e n d d n g (29) d u o c thUc hiin d u a vao 5U h f i t r o cfla may t i n h dUa t t i n t h u a t t o a n Newmark, mjl c h u a n g t r i n h t i n h d u a e v i e t b i n g n g d n n g f l M a t l a b v i d d t i n c i y ciij c h u a n g t n n h t i n h c u n g n h u p h u o n g p h i p t i n h d u o c so sanh viii kA q u i c u a cae tac gia khac d u o c t t i c h d a n t t o n g t i i l i ^ u t h a m khao
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T r o n g n g h i l n cUu nay, bat b l o l i l n h a n h k h i o sat hai v i d u sonh!m k i e m e h u n g d o t i n cay efla c h u o n g t r i n h dUoe v i e t b a n g n g d n ngfllip I n n h M a t l a b , ket q u i se d u a c so s i n h v d i k^t q u a cfla cac t i c g i i khit d u o c e o n g b d
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c
1 x 1 0 ' N / m ' 4 9 0 0 N s / m '
T r o n g vi d u kiem c h f l n g d a u l i e n , e h u y e n vi d d n g cfla dam khi p h u a n g l i e n ehuyen d o n g t t e n d a m v d i v i n t o e k h a n g d o i , khdng «i) i n h h u d n g t h d n g sd nen t h f l hai cfla n e n (van l d c V = 2 0 m / s , bien dod) g o g h i a i = 0 , 5 m m va b u d e s a n g d 6 g d g h e >.L=0,5m),
(27)
DUa t r e n ly t h u y l t p h a n t f l huXi h a n va sfl d u n g ky t h u i t k e l n o i cac chi sd b i c t u d o t u o n g flng eac ma t t i n cfla p h a n t f l t t o n g h e toa d o l o n g t h e , p h u o n g t n n h l o n g q u a t c h u y e n flong cua m o h i n h d i m t r l n n l n CO d a n g nhU sau
Mz-i-{C-F,)7+(K-K;)7 = P 128)
M,C,K, P- I i n l u o t la ma t r i n khdi l u a n g , c i n , d d cflng va v e c t a tin t d n g t h e cfla c i he,
F,, F, - i i c i c t h i n h p h i n p h u t h u 6 e v i o t h d i gian, F, va F i k h o n g p h i i la luc tac d u n g n h U n g co d o n vi cfla cua luc n e n co t h e x e m n h u la luc gia Pseudo-force.
P h u o n g t r i n h (28)chinh la p h u o n g t r i n h vi p h a n c h f l d a o cua p h u a n g p h a p M E M t r u y e n t h d n g . T r o n g p h u o n g t r i n h (28), ta x i t t h a y
p5eudt>-force Fi v i F i V i v i y , khi g i i i b i i t o a n can p h i i cap n h l t lai ma Iran khdi l u o n g , ma t r i n c i n va ma t r i n d o eflng d a n d e n keo dai t h f l i gian
D e khac phue han che d f l cua p h u o n g p h a p MEM t r u y l n t h d n g , ta CO y t u d n g l i s i p x I p lai phUOng t r i n h (281 Cac t h i n h p h a n luc gia thay d3i t h e o t h d i gian dUoe c h u y e n sang v l p h l i , voi y tUdng t r e n dUoc g o i la p h u o n g p h a p p h i n t f l chuyen d o n g c i i t i l n IMEM, Sau khi c h u y e n ve.
p h u o n g t r i n h (28) d u o c v i l l lai nhU sau
M Z + C Z + K I = P + F|J: + F;Z (29)
Hjnli6 Chuii^nviciiadamudlaiMniluongtit a)kohelal[e|,b)Bilbao T t o n g vi d y kiem c h f l n g t i l p t h e o , c h u y e n vi d d n g cfla dSm khi p h u o n g l i $ n chuyen d o n g t t i n d a m v d i v i n tfic thay d d i , k h d n g xet inh h u d n g t h d n g sd n l n t h f l hai ciia n l n {vin t6c ban d i u V=0m/5, saudl c h u y i n d d n g n h a n h d a n d e u v d i gia toe aml.=10m/s^ sau t h d i gian 2!
t a n g tdc v i n t o c V ™ . = 2 0 m / s , c h u y e n d o n g g i l m t o e v d i gia toe a,si=- l O m / s ' v S d u n g lai sau t h d i g i a n 2s T o n g t h d i g i a n p h i n t i c h l i t=6s, 1)4 q u a i n h h u f l n g b i e n d o d d g o g h e l i e n d a m ) .
ifinh7 Chuyen VII Tfl ele kit qii eho t h i y k i t q u a
. tat diem tirung l^e s) koh et al[S], b) Bai bai sal d u a e so s i n h ven k l l q u i eu jho l i kha p h u h a p v a i cac k i t t
•n khao, c h o Ihay c h u o n g t n n h tir
c 6 d o t i n cay T f l d d l a m c o sd d l t i e p t u c p h i n tieh i n h h u d n g cua cae t h d n g sd d i e t i n h cfla n e n , m o h i n h t i i t r o n g va d d g d g h i t r l n m a t d a m len d a p uTig d d n g cua d a m .
3 . 2 . K e t q u i k h i o sat s d
T r o n g p h a n n i y , c i c t h o n g sd k h d i l U o n g t r e o d d n g va t h d n g so c f l a d i m d u o c t r i n h b i y d B i n g 2 v i B l n g 3 se d u o c d u n g d e k h a o s i t c h o cac bai t o a n cfla b^i b l o
^ B i i t o a n 1 ' K h i o sat i n h h u d n g efla t h d n g sd khdi l u o n g nen d i n flTig x f l d d n g lue efla d i m k h i p h u a n g t i l n e h u y i n d d n g v d i v i n toe k h o n g d o i , k h d n g x i t a n h h u f l n g d d g d g h e t r l n d a m
T r o n g p h i n k h a o sat d a u t i l n n i y , bai b i o k h a o sat p h u a n g t i l n c h u y e n d o n g v o i v i n tdc V = 2 0 m / s Cac t h d n g sd Sac t r u n g cfla m d h i n h n l n d d n g luc h o e d u a c lay t h e o P h a m D m h T r u n g va c d n g s u ( 2 0 1 5 ) l l 1 ] n h U s a u : k „ = l x l O ' N / m , k,=66.7x10'N, c = l . S x l O ' N s / m v i p F = 1 8 0 0 k g / m ' t h d n g sd dac t r U n g p f c h o i n h h u d n g d d n g t h o i cfla c h i l u sau n e n H ( v a t h d n g so thUe n g h i e m m lan l u o t dUoc k h i o sat la (3i =0,
| J F = 0 5 ; p F = l , | 3 f = l - 5 , P F = 2 ; pF = 2 5 v i p, = 3
':y |-;j.
Hinh 8. Chuyen vi ciia dam tai ifem timng tac
T f l ket q u a t h e h i e n t r l n H i n h 8 c h o t h a y t h d n g so d i e t t U n g cho k h d i lUOng n l n pf a n h h u d n g d a n g ke d i n d a o d d n g cfla d a m , v d i s u gia t i n g cfla g i i t n t h d n g so d a c t r U n g k h d i l u a n g p. s l l a m t a n g k h d i l u o n g n e n m t h a m gia d a o d 6 n g , d o n g nghTa v o i v\ic l i m gia l a n g k h d i lUdng t h a m gia d a o d d n g l o n g t h e cfla h i , t u d f l l i m suy y e u di he hay ndi each k h i c l a m e h o h e m e m d i , vi v l y c h u y e n v i cua d a m c u n g t a n g l l n v i d a t d u o c g i a t n Ion n h i t
<• B i i t o i n 2 ; Khao s i l i n h h u d n g flong t h d i cfla t h d n g so k h o i l u o n g n e n v i v a n t o e t i i t r o n g d i n Ung x f l d d n g lue cfla d a m
T r o n g p h a n k h i o sat I h f l hai n l y , b i i b i o k h i o s i t p h u o n g n l n c h u y e n d d n g t r l n d a m vfli v i n t d c t h a y d o i I i n l u o t i i - V=10(m/s), 20(m/s); 30(m/s); 4 0 ( m / s ) ; 50(m/5); 60(m/5), 70(m/s); 80(m/s), 9 0 ( m / s l . 100(m/s); 1 1 0 ( m / s l ; 1 2 0 ( m / s ) ; l 3 0 ( m / 5 ) , 1401m/s); 150(m/s), 160(m/s), 170(m/s): 180(m/s), 190(m/s), 2 0 0 ( m / s ) . Cic t h o n g so d i e t r u n g efla m o h i n h n e n d o n g luc h o c d u o c lay n h u bai t o a n i , n e n g t h f l n g so d i e trUng PF c h o a n h h u d n g cfla k h d i t u o n g n '
P F = 0 , 5 , p . = l , P F = 1 . 5
n lao l u o t d u a e khao
n h a u eiia t h d n g sd v i n toe d u o c x e m xet T f l Ket q u i phan tich tren H m h 9 n h i n thay khi v i n tdc chuyen d d n g V=10[m/s) d e n khoang V i 7 0 ( m / s ) N l u k h o i l u o n g n e n t h a m gia d a o d d n g eang Ion i h i chuyen V] d a m c u n g se t a n g l l n , Nguoe lai khi van t 6 c t u V = a O ( m / s ) t r d l l n Neu k h o i l u o n g nen t h a m gia dao d d n g v i o h i c l n g Idn t h i c h u y i n v i d a m c a n g g i i m v i l i e m c i n den m 6 t g i i t n nao d d
T f l cac k i t q u i t h e h i l n t r e n K m h 9 eho Ihay t h o n g sd khdi l u a n g nen I n h h U d n g d a n g ke d i n d i e t i u n g d d n g lue cfla he va t f l d o lam gia t i n g d a p flng d d n g lue cua d i m t u o n g flng voi su gia l i n g cua t h o n g sd dac t r u n g cho i n h h u d n g cua khoi l u o n g nen B d n g t h f l i , kel q u i c u n g cho t h a y cac t h d n g sd dac t r u n g cfla p h u o n g l i e n di d d n g n h u l i v i n l o c c h u y e n 6png e u n g eo i n h h u f l n g t h i t su d i n g ke d e n d a p flng d d n g luc
<r B i l t o a n 3: K h i o sa l u o n g n e n v i bien d o d d g o g l
T r o n g p h i n k h i o sat t h f l tiep t h e o nay, t>ai b a o khao s i t p h u o n g l i e n c h u y i n d o n g t r l n d i m v o i v a n toe I I V=60(m/s); C i e t h d n g sd d i e t r u n g cUa m d h m h nen d g n g lUe hoe d u o c lay n h u b i i t o a n l , n e n g t h d n g sd dae t t U n g PF cho i n h h u d n g cfla khoi l u o n g nen I i n l u g t d u p c k h i o sat la P F = 0 , p<=0,5, P F = 1 , P F = 1 .5 v l pF=2. N g o i i ra d d g o g h e t r l n d a m d u o c iDieu d i e n ) i m d t ham d i l u hoa t h e o t h d i gian t t e n be m i t d i m y,=-aism(2nS/X.) vOi a,, >., I i n luot la b i e n d o va b u d c song cfla d d n h a m m a t d i m , q u i n g d U a n g xe d i chuyen d u o c S=vt T t o n g bai t o i n n i y g i f l n g u y i n bUdc i d n g d o g d g h e t r l n d i m X, = 0 5 m , thay doi b i l n d o g o g h e lan l u o t l i a, = 0 5 m m ; 1 Smm, 2.0mm;
2 S m m ; 3 0 m m , 3 S m m va 4 0 m m .
Hinh 9- Chuyen vi Ifln nhSl tua d3n. tai diem tunng tac T r o n g b l i t o a n n i y , i n h h u d n g eua t h d n g so dac t i u n g m
•a t i l t t o n g di d o n g l l n d a p flng d d n g cfla d a m u n g v d i cae
Hmh 10; Chuyin m Idn nhStcfia dam khi giilnguyenbildc song do goghe III
=0.5ni, thay floi thong io dat ttung khoi luong tua nen ft va bien do go ghe A n h hifdng cua bien do do go g h e t r l n d a m : Theo ket q u i tten H m h 10 k h i g i f l n g u y e n bUdc song d g g d g h i t t e n d a m /.i=0,5m va t h o n g sd d i e l i u n g k h o i l u o n g cua nen pFChi thay d a i bien d o g d g h e K i t q u i c h o thay k h i t a n g gia t n cfla bien df> ab g o g h e t t e n d a m t h i gia I n c h u y i n vi eua d i m t i n g len Gia t n a, c a n g Idn t h i g i l t t i chuyen v i cfla d a m eang ldn, d i e u nay chUng t d t a n g , c h u y e n vi t r o n g d a m p h u t h u o e tat Ion vao b i l n d o d d g d g h e t r l n d i m , khi b i l n d 6 d d g o g h e t a n g len t h i gia t n chuyen vi t r o n g d a m eung t a n g len vdi t y le g i n n h u t u y e n
A n h h u d n g t h d n g so dac t t U n g k h o i li/cmg cua o l n P r k h i c6 xet d e n d o g 6 g h e t r e n m i t d a m : K l l q u a p h i n tich t t e n K m h 10 c h o Ihay n l u cti x e l a n h h u f l n g efla b i e n d d d d g o g h i t t e n d a m t h i u n g x f l d o n g cfla d a m c u t h e n h u sau b i l n d o d d g o g h i t r o n g k h o i n g t f l a - 0 5 - 1 5 m m khi t a n g gia t n t h o n g sd dac trUng p. efla k h o i l u o n g n l n t h i gia t n c h u y i n vi efla d i m se t a n g l l n , n g u o c lai khi b i l n d d d 6 g o g h i t f l 1,5mm t r d l l n khi t a n g gia tri t h d n g so d i e IrUng pF eua k h o i l u o n g n e n t h i g i i tri c h u y i n vi cfla dam se g i i m x u o n g , gia t n PF c i n g l d n I h l g-a t n e h u y i n vi eiia d a m c a n g g i i m n h u n g khi k h o i l u o n g dat d i n o i l t n n h a t d m h t h i ehuyen v i lai t a n g l l n n h u n g k h o n g d a n g k^- D o d d , t h d n g so khfii l u o n g cfla n l n l i k h i q u a n t r o n g , lam t i n g Ung xU d d n g eila h i khi m i t d a m bSng p h J n g hoac bien d d g o g h e nh6^ nguge lai l i m g i l m flng x f l d d n g l u hi mat dam c6 bi
•:• Bai t o a n 4 ; K h i o s i t i n h h u d n g d d n g I h o i cua t h d n g so khoi l u o n g n l n va b u o c s o n g d o g d g h e tren d a m d e n Ung x f l d o n g cua d a m . T r o n g p h a n khao sat n i y , e i c t h d n g sd bai toan d u a e lay n h u b i i t o i n 3 Rieng d o g o gheeua bai l o a n nay la g i f l n g u y e n bien d o d o g o g h e tren d a m ai=0 Smm, thay d o i bUdc s o n g d o g o g h e I i n l u a l la /., = 0 Sm, 1 Om, 1 Sm: 2 Om, 2 Sm, 3 Om, 3,5m, 4 . 0 m va 4 Sm
khigiOnguyenbimdDd6ga9hetiendaiiia,=05nini, Itiay doi thong sa flat IrVng khdi liwng d a nen ^ vl buiic song flo gd ghe
: L f v i o k ^ t q u i tren H m h 11 v c f l g i a t n b u O c s o n g d o g d g h e d i m e i n g Idn t h i chuy
sdng dat d e n m o t gia t i l n h i l d i n t n g a n g i i e m can flen m g t g i i t n r c h u y e n vi 11 Ud=-1 S 1 4 0 m m ; -1 • 1.4053mm, -1 4 0 0 4 m m , -1 396Smi
I eang g i i m , m i e khac khi b u o c n l u d d ehuyen vl e6 xu h u f l n g di i m h , cu the khi P F = 0 , 5 t h i g i l t n r m , - 1 4 2 0 7 m m ; - 1 4 1 1 6 m m : - 'a -1 3 9 3 2 m m l u o n g u n g • a J„=0 5m, 1.0m, 1.5m, 2 Om, 2.5m, 3.0m; 3.Sm
gia I n b u a c s d n g d d g d g h e t r l n d a m d a t m o t gia t r i 'u t i n g gia I n t h d n g sd dac t r u n g cfla k h o i l u o n g n l n t h i g i i t n e h u y i n vi efla dam se t a n g len, gia t n (Ji cang Idn t h i gia tri c h u y i n vi cua d a m c i n g t i n g , cu t h i khi b u o c s d n g d o g d g h e ? . i = U m t h i g i l t n c h u y e n vi 11 Ud= - 1 4 7 6 7 m m , - 1 4 2 0 7 m m , •1,4637mm, - 1 5 4 4 6 m m , - 1 . 6 2 7 3 m m t U o n g flng vai t h d n g sd d i e t r u n g khdi l u a n g nen lan l u a t la pF=0, pr=0,5, P F = 1 .0, [JF=1 5. p f = 2 0
4 . KET L U A N
B i l bao d i t n n h bay k i t q u a p h a n tich u n g x f l d o n g eua d i m t r l n n l n d d n g luc hoeehiu t i i t r o n g c h u y e n d o n g co xet d i n a n h h u d n g d o n g t h d i cfla t h d n g sd d i e trUng e h o a n h h u d n g cfla khdi I u o n g n l n v i sU g o g h e eua m a t d a m c f l n g n h u v i n tde cua l i i c h u y e n d o n g P h u o n g ih e h u y i n d o n g eua he k i t cau d u a c s f l d u n g d u a t r l n ly t h u y e t p h a n
d d n g efla d i m Vai s u gia PF se l i m t i n g khdi l u o n g I c l a m gia t i n g khoi l u o n g n suy yeu di he, vi vay bien t f l c h u y e n d d n g c i i t i l n IMEM Cac
t h a m gia dao d d n g co i n h h u d n g d e n da t i n g ciia t h o n g sS dac t r u n g khdi l u o n g ni n l n m t h a m gia dao d d n g , d d n g n g h i a vai t h a m gia dao d 6 n g t f i n g t h e cfla h i , t u d d I d d c h u y e n vi cila dam e u n g t a n g len
Mac khac neu co xet i n h h u d n g cua b i l n d 6 d 6 g o g h e t t e n d a m t h i Ung x f l d d n g cua d a m eung hi i n h h u d n g tat l d n Cu the, khi b i l n d d d d g d g h i t i n g t f l k h o n g ( b i n g phang) d e n a t = l S m m khi t a n g gia tti t h d n g s6 d i e t r u n g pF cua hhoi l u o n g n e n t h i gia I n c h u y i n v i cua d a m se t a n g ten, N g u o c lai khi b i l n d d d o g d g h i Idn h a n 1 Smm, khi t a n g gia i n t h o n g so dac t t U n g 0F cua k h d i l u o n g n e n t h i gia I n c h u y e n vi efla d a m se g i a m x u o n g , g i l i n pf eang Ion t h i e h u y i n vi cua d a m c i n g g i l m n h u n g khi k h d i l u o n g d a t d i n g i i t n n h a t d i n h t h i c h u y i n vi lai t a n g len nhUng k h o n g d a n g k l Do fld, t h d n g sd khdi lUpng cOa n l n l i kha q u a n t t o n g , l a m t i n g flng xfl d o n g cfla h i khi mat d i m g i n nhU t r o n ( b i n g phang) hoac bien d d g o g h e n h f l , ngUoc lai lam g i l m u n g xfl d d n g lue cfla he khi m a t d a m ed b i l n d d g 6 g h i Idn.
Ngoai ra v i n l d c eua I I I i r o n g c h u y e n d o n g e i j n g I n h h u d n g k h d n g n h d len d i p Ung d o n g cua d i m , k l l q u i n g h i e n cUu c u n g eho thay khi v i n toe c h u y e n d o n g c i n g lan t h i c h u y e n vi cua d a m eang g i i m .
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Cac k i t qua p h a n t i e h cfla bai b a o e h o t h a y viee n g h i l i e h i n h xac g i i t n cua I h d n g sd k h d i l u o n g n e n I h a m gia d a o d p n g l i coy nghTa va p h u h o p v d i t h u c t i e n , d i e b i e l la v i l e flng d u n g t r o n g eac bai t o a n p h a n l i c h d a p flng d d n g lue h o c cua h i k i t c a u t u o n g lac voi nin eh|u e i c m d h m h t i i t r o n g c h u y e n d o n g . N g o i i ra, s u k h d n g bing p h i n g eua be m a t k i t cau v l y l u t d v a n t o e c h u y e n d d n g cfla lai trong c u n g c i n d u o c x e m x i t la tat e i n t h i e t va d f l n g vdi sU l a m v i l e cua ket
TAI LIEU IHAM KHAO
[1] Winklcit, DieUhre von dfl ElaslizimundFesli9kelit0oininicus,l'aiague, 1367.
121 Flamenco Botodidi, M M (19401 Some Appiommale Iheones of Elasut FoundaluiL lidienyip Zapiski MotkovskogoGosudaistvennogo Univeisileta Mekhanita, 46 3-t8 (in Russian)
(3| Paslemak P L On a new method of analysis of an elaslK Foundatiiin by means oltm [onstanls tknudaislvennoe liifalelstvo lileiauin po Sttoiiehlvui Aikhiteklure, Mostow, 19S4 Im Russian)
14| floKienOuot, Khong Trang Toan Thi nghiem lacdinb inh huong tua khdi luong nm doivjitinsodaodongriengtuala'ralrennendanhdi TapthiiSydun9,!O0S,12 32-3S
IS) fhjm Binh Trung, Hoang Phuong Hoa, Mguyen Ttong Phudt Tbik nghiem »at Jial thong s63nhhil6lih tua khoi luong nen len dac liitng dong hoc tua he mot bac ttr do. Tap till ny i(ung,2016,12 88-91
|5) Nguyen Ttong Pbuot, Hoang Phuong Hoa, Pbam Oinh Trung He tbong hoa cat no hmh nen va de niSl mo hmh nen mtii dimg Uong bai toan phan tidi Ung lA tiia ket tau tuong Qi iminen Tapthiiaydung,2D15,S 47-SD
[7] Nguyen Ttong Phudc Hoang Phuong Hoa, Pham Dmh Trung, Sd Kien Quoc Anh huong tua Aong so khoi \iidpq nen liong md hmh nen ding lir< hoc len dao dong neng oia dam Tap dii iaydung,2015,3 95-99
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