i This paper presents the result of researching, calculating Fluid Thin Film Bearing that is type of thrust bearing uses for Vertical Roiling Grinding Machine. Based on

NGHIDN CL/U-TRfiOodl

TiNH TOAN THIET KE GDI U6 THUY LITC

LAM VIEC THEO NGUYEN LY MANG DAU MONG

IS D6 Q U 6 C Q U A N G , TS N G U Y I N Q U A N THANG KS CAO V A N M O , K S T A N G BiCH twA Vlfn Cflng nghj, BJ Cflng tluill|

Bai b^o trinh bay cac ke't qui nghl§n cufu, tinh to^n gCTi 08 thu^ \\le dang 6 chdn sD dyng trong m^y nghign tSng aing suSft 15 T/h - sdn phJm cda Oi tdi cSp nhjl nirtc

"NghiSn cl}u tfnh toan, thiS't Ite'vd cOng ngh$ chfi^t^o gCTi dd thuy l^c chju t i i n$ng Sk 80 ta'n", ma s6'KC.05.18/06-10. TrSn cd sd mO phing Monte-Carlo, siir dgng thujttoin DE (Differential Evolution) d^ tfnh cdc hf sflf khOng thd" nguyfin, Oi tdi da xdc djnh difgic cdc thdng s6' hlnh hpc tS'i ifu cQa m9t segment trong gCTi d9 thfiy l^c ddm bdo cOng suS) bdm da~u qua khe la c^c ti^u.

Tif khoa: Gol US thuf life, 6 OS mang diu mdng. Fluid Think Film Bearing, Kingsbuif

CALCULATE DESIGNING FLUID HLM BEADING WODK ACCOCDING TO FLUID THIN RLM

THEODY

i

This paper presents the result of researching, calculating Fluid Thin Film Bearing that is type of thrust bearing uses for Vertical Roiling Grinding Machine.

Based on Monte-Cario simulation, used DE (Differential Evolution) algorithm in order to calculate some non- dimensional coefficients to determine opHmal geometric parameters of segment Into Fluid Thin Film Bearing so that Fluid goes through slot with minimum pumping capacity.

This result's apiyed for calculating of Fluid Thin Film Bearing that is type of thrust hearing Is used for Vertical Rolling Grinding Machine with Capacity at 15 tons/hr - Product of National Pro|ect "Research ealculeling, designing i machining process FluU Thin Film Bearing wm Load at SB tonsT with KC.05.18/0e-10 Code

I. Ddt Win i t

G6i (3d thu^ \gc chju tdi n$ng dpe tnjc, d^

phing c6 kfit du hl$n dgi da dupc dua vio Oing dgng tO nhOng nam diu cOa th£ k} XX.

G6i thOy luc l^m vi$c theo nguydn ly mang diu m6ng (Fluid Thin Film Bearings), vdi cM d$ b6i tran thuy d^ng ho$c thuy tfnh. Bty li dang 6 trUdt ch$n (hudng tnjc) c6 t6c d$ qii^

Idn, hi$u suSt cao, vdi dii cAng suit tmyjii dOng til 50+9.500 kW vi chiu tii trijng IhSiig dUng 10 50*1.200 tin.

Trong 6 trUcJt chjn d?ng bfti trdn thUyl*, mling diu b6i Iron glOa hai b i m$t c6 chiiu diy h duoc hlnh th4nh do bdm diu c6 ap suS cao vi cdc hdc diu (bu6ng t^o ip) giila liai bi m$t. Chiiu diy mdng diu h kh6ng d6i ngay ci khi tic d$ tUdng d6i glOa hai bi mat bS tran bing khdng. Gfii thuj ITnh c6 thi coding hlnh hpc bit k^: phing, trg, trbn, c6n, h * ciu nhung dang cCia mjt ty Iu6n tuang Ongvii dsng cDa m j t tua. Ddng diu hudng B bu&S theo b i mSt tua chiy ra phin chu vi ciia ni v4 s§ dupc cip trd Iai buing tao ip. B l khe bS giOa hai mil cDa g«i dd thujr fihh khftng dS*'

I TGpchiKHOAHM , , ,

NGHIDN COfU-TRflOedl

iupng d i u ra kh6i gSi trong m$t dan v| thdi gian ph&i bing lupng d i u cap v i o g6i.

B i i bao d i c i p d i n phuong phip tlnh toin, x i c djnh c i c thdng s i hlnh hpc t i l Uu cDa mdt segment trong 6 bdi tran thDy tlnh sao cho cdng suit bOm dau qua khe l i cue tilu thdng qua vide tlnh toin cac hd sd khdng thU nguydn, trdn ca sd md phdng Monte-Carlo v i sQ dgng thu^t toin DE (Differential Evolution).

II. Phuimg phap tinh todn h i sfi khdng thu' ngiwfin cho gfii dfi" thuy tlnh dang fi irnqt chdn vdi tf m ito' dpng segment hinh dd qupt

Moi gd'i dd thCiy ttnh d i u iim vide theo nguydn tac c i p ddng d i u bdi trdn cd i p lidn tgc v i o gida hai b i mit chuyin ddng tuang ddi. Chit lupng lim vide cDa loai gdi dd nhu v$y phg thudc ehCi yd'u vao dd tin c$y khi hoat ddng cija h§ thdng c i p d i u bdi Iron.

Khi tiln hinh thilt k l thudng dga v i o ba dai lupng khdng thU nguyen la a, - hd s i t i i trpng, q, - hd sd IUu lupng va H, - hd s6 cdng suit d l ehpn Iga cac kich thudc hlnh hpc hpp ly sao cho cdng suit d i y d i u qua khe hpp cd g i i trj cgc tilu [1]. Gia trj cDa nhOng dai iupng n i y khdng phg thuoc v i o cac kich thudc tuydt ddi cCIa gdi ma chl phg thgpc ty le giOa Chung, chinh x i c han l i ty s i didn tich cOa budng tao i p vdi t i n g didn tich b l m i t cDa gdi dd.

Do viy, vide x i c djnh c i c hd so khdng thU nguydn cho mdt dang hinh hpe eg t h i cOa g i i dd thDy tTnh CO y nghTa h i t sUc quan trong.

Hd sd t i i trpng cfla gdi dd thuy tTnh a, dupc xac djnh bing bilu thUc:

W - khS nang chiu tii thgc cOa gSi

^^^ A - di$n tfch hlnh chiSu cda b^ m§t tga (cm^)

p - i p Igc trong bii6ng diu khi cd khe h i (kg/cm')

Cdng suit c i n thid't oDa bom d l d i y d i u qua khe hpp trong gdi dd dupc tlnh bang tich giOa i p luc trong buing v i luu lupng qua 6:

« ' - ^

H, = P,.Q = H,.(—)'.- (3a) H,=^

(3) Trong dd H,la hd sfi cdng suit.

Trong c i c t i i iidu [1], [2], [13L [14] d i gidi thieu cdng thUe xic djnh cic hd sfi khdng thU nguydn (a,, q,, H,) cho gfi'i dd trdn bufing trdn trung t i m , gdi dd trdn budng vinh khin, gdi dd chO nhit budng chO nhit, hinh edn, hlnh c i u .

Hd sd khdng thU nguyen a,, q,, H, cho gol dd trdn budng trdn trung t i m (hlnh 1) dupc xac dinh theo eic cdng thUc sau [14]:

it)

1

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Hinh 1: sd dd g6i thuy ITnh co buSng diu hlnh trdn

H$ so khSng thiJ nguyen a,, q,, H, cho g6i dQ co

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bu6ng dau d^ng vanh kh§n (hlnh 2) dU(?c xac djnh theo ckc cdng XhOc sau [14]:

i He s6 luu lLf(?ng c£ia goi de thdy tTnh q, dUdc xac I djnh is^ng bilu thCi'c:

Q - li;u iucfng d&u (cm^/sec) W - tai trpng tde dyng 16n gfii dd (Itg)

^^' h - c l i i l u day mdng dfiu boi trdn (cm) m - dO nhdt tuy$t d6i cOa dSu bdi trdn (kg.sec/cm*)

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Hinh 2: sa dd g6i thuf^ (inh cd budng diu hlnh vAnh khSn

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H i sd khfing thU nguydn a,, q,, H, cho gfii dd cd bufing d i u dang hlnh cdn (hlnh 3) dupc xic dmh theo cic cfing thUc sau [ I ] ;

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Hlnh 3: sd d6 gdi thOy tfnh c6 budng diu hlnh cdn

' 3 l - ( « . / « )

1. M0t sd tlnh toin thdy lgc cho ddng diu cd

ip chiy qua khe hgp [4] . PhUPng trinh chuyin dfing v i t i e dfi ddng ch%:

„ = - L . ^ . ( / - y . / . ) (4)

2.H dr

Tde dfi dat g i i trj cgc dai khi y = h/2, c6 nglila l i :

- " " 2 . ^ • * • * 4 2 ' 8n dr

Tde dd trung blnh cua ddng chiy ting trong l<he hep:

Hfi sd khdng thU nguydn a,, q,, H, ehe gdi dd dang hlnh c i u (hlnh 4) dupc x i c djnh theo c i c cdng thijtc sau [14]:

'' 1

( ^ * • ^

^^^^^^^n

Hinh c6

4: sd d6 g6i thOy trnh iuSng diu hlnh ciu

I m ' l k — t — j T — i f 1 C!^, 2o»fl,-oiiB,J I n't,

*-!'( , _ 1 1

[cos'fl, cos'fl,)

If

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2 I fc' * 3 " " I2n dr Phin bd i p lUc

dp ^MjlJiq dr h'.r.dif

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m

hay: dp=^-^.- (8) h .Jtp r

TU (8) ta cd t h i nh§n xdt ring: dpe phiMng hUdng kinh theo chiiu ddng ehiy, i p lgc diu giiiJ d i n theo h i m logarit.

LUU lupng ddng d i u dupe bilu thj dual dsng

Tuy nhidn, trong c i c t i i lifiu tham khio trdn chUa CO t i i Iidu nio trinh biy ehi tilt co sd tlnh toin cho segment phing ed hlnh dang khic, mic du loai n i y rat cd y nghTa thgc tiin. ChD y l u eic sfi lifiu dung cho thiet k l c i c 6 dd thDy tinh dang niy d i u dga trdn nhDng k i t q g j thi nghifim.

Trdn ed sd cie bilu thUc giii tich cd b i n da bilt va cdng eg tlnh toin mdi cd t h i xiy dgng dupc phudng phip dD tin ciy xic dinh ba hfi sd khdng thU nguydn quan trpng cDa gdi dd nhilu segment dang dd quat khi c i p d i u v i o bufing trung t i m , tham ehl c i gdi dd ed hlnh dang phUc tap v i cd i/

nghTa thgc tien hdn.

dQ /i'.i/(p Ap

" 12(1

•(5)

(9)

N l u tlnh oho t o i n bfi chu vi ta cd ting liM lupng:

" 6 . H H-)

(10) f

Cdng thUe (10) chl dung khi trdn toin bfi chu«

r„ v i r, l i h i n g sfi.

2. Xiy dgng phudng phip tlnh cic h$ so'dio gdi dd thiy tlnh trudng hdp ting quit

Xic dinh khi ning chiu tii thgc ciia gdi dd Ihiv I *

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TU c i c cdng thUe (1), (2) ta thiy ring, d l xic dinh dupe c i c hfi sd cDa gdi dd thDy tTnh c i n xic djnh dupc k h i ning chju t i i v i IUu lupng d i u qua gdi dd khi gdi l i m vide I n djnh.

Bilu dd phin bd i p lgc d i u cd dang nhu hlnh ve. Trong vDng budng d i u i p lUc khdng d i i bing p,, trong khoing tU r,, dd'n r„ i p luc thay ddi theo quy lu$t logarit. K h i ning chju t i i cDa gd'i trong trudng hpp chung tlnh theo cdng thUc:

>y = 1^1, +\ P,.dF

fft = FtPr

(11)

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Hlnh 5:phinb6ip igc trong gdi dd thiiy tmh Neu Chia vung ngoii budng tao i p thinh n phan vd eung nhd thi bleu thUe (11) c6 t h i vilt iai nhu sau: w^p.jr.t'Zp,/. (12)

Trong dd:

p, - i p Igc d i u trong budng, kg/em' F,, - didn tfch cDa bufing tao i p , cm' F„ - phin didn tich ngoii bufing

n - sd phin didn tich ngoii budng dupc chia nhd f, - difin tfch cDa phin thU i, em'

p, - i p lgc tai trpng t i m cDa phin didn tfch thU i, kg/em'

p,.(ln(j)-ln(r.,))

iz

⁽¹³⁾

s a dgng b i l u thUo (13) ta cd t h i x i c djnh dupe

»ip igc tai mdt dilm b i t wy ngoii budng v i cho phip tlnh k h i nang chju t i i thgc cDa gdi dfi theo cdng ,,thUc(12).

Ttnh IUu lugng thdng qua gdi dd

Ndu ta ohia toin bfi chu vi thinh k phan, mfii phin ed sfi do gdc 4 t i m l i A^ tuong Ung phin chia n i y cd b i n kinh bufing l i r„ v i ban kinh ngoii bidn l i t„,, thi cd t h i tlnh toin bfi iupng d i u qua gdi bang cich sD dgng cfing thUc (10) dupe vilt dudi dang mdi:

Q . h'.p,

I2n • (14)

Xic djnh cic hi s$ khdng thU nguyin cua gdi thuy tinh

• Hfi sfi chju t i i : bing cich k i t hpp cdng thUc (1) v i (12), ta cd bilu thUc xic djnh hd so a,:

1

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Ap lgc d i u ngoii bufing tai dilm bat ky p, xac djnh theo bilu thUe (13)

- Hd sfi IUu lupng: kd't hpp bilu thUe (2) vdi (1) taed:

QA-n

Uf.A„. .Ic' (16)

Thay gia trj Q tU (14) v i o (16) v i giin udc ta dupc bilu thUc tlnh q,;

1

" l 2 . a . .. A<p,

(17)

- Hfi so cdng suit: sau khi d i cd hai he so a, va q, thi H, dupe tlnh theo (3).

Nhu vay, khi bilt dang hlnh hpc cDa budng, dang hlnh hpc cDa bidn vdi dfing d i u chiy ra bidn theo chllu hudng kinh ta cd t h i cai d$t ehUdng trinh tlnh c i c hd sd vdi dfi ehlnh xic cho phep.

Trdn 00 sd cic bilu thUc (15), (17) v i (3), chDng tfii da tiln hinh lip trinh v i tlnh toin nhim khing djnh sg dDng din cDa cic suy luin toin hpc v i dd tin ciy cDa phuong phip tlnh bang sd. D i tiln hinh tfnh toin cho gfii dd dang bidn trdn vdi bufing tao i p tron chfnh tam.

Kit q u i trung vdi kit q u i tfnh bing giii tich d i dupc cdngb6[1].

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jy sd kfch thudc tfii uu dfii vdi gfii dd dang niy l i r„/r„

= 0,55. Cie hfi sd tuong Ung a, = 0,584; q,= 1,501;

H, = 2,57.

Hinh 6: sd d6 tinh gdi vdi budng trdn

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tTnh thudng cd hai dang l i bufing trdn (nDa trdn Wnh 8) v i bufing dfing dang vdi bifin ngoii (nDa diW hlnh 8).

Hlnh 7: dd thi cija hi sd tii Irong va hi sd iuu iugng khi thay ddi ty sd rjr„

Vdi goi vufing bufing vufing, cd nhilu dang cdng thUc giii tfch khie nhau nhung khdng cho kit q u i dung vdi so lieu thue nghifim. Theo cich tlnh oDa chDng tfii, khi tjr sd a/b = 0,5 ta cd a, = 0,5400 dung vdi sd lifiu thuc nghiem (a, = 0,54) [1].

3. Tlnh cho mdt segment cua gdi dd miy nghiSn

Do kfch thudc cDa cic mim dd miy nghiin idn ndn nd thudng dupe c i u tao nhu hlnh 8. Toin bd b l mat cOa vung tao ming d i u bdi tron dupc chia thanh tUng minh nhd rdi nhau - segment. Mfii mfit segment dupc c i p d i u dfic l$p v i nhu t h i cd t h i tlnh toin ridng. K h i nang mang t i i , tdng luu lupng, ting cdng suit d i y d i u cDa toin bd gfii dd bing tdng k h i ning mang t i i cDa t i t c i c i c segment.

Suing tao i p trdn tUng segment cDa gfii dd thDy

Hihh 8: sd dd bd tri cic segment trin gdi dd miy nghOn Khi tlnh t o i n c i c hfi sfi a,, q, v i H, bing cic cdng thUe (15), (13), (17) v i (3), dilu c i n phii chii >

l i phudng trtnh cDa c i c dudng bidn gidi han cDa segment cQng nhU bufing tao i p phii dupc viil trong hfi toa dfi cd gfic tai d i l m C^. Dfing thdi, xac djnh dung gfic gidi han Phit, Phi2, Phi3. VIdg, vdi segment ed bufing tao i p hlnh trdn khi gdc tfnh loan thay d i i tu 0-180° thi g i i trj cDa r,, se bj gidi han bdi eung A-A1, dudng thing A1-B1 v i cudi ciJng l i cung B1-B (hlnh 10), trong khi r„ l i khdng d&

Trudng hpp cua segment vdi bufing tao ap dong dang vdi bidn ngoii thi r^ cung se thay dll lidn ftic tuang tg nhu bifin ngoii.

Trdn ca s6 c i c cdng thilc d i bilt v i nhOng chii y ndu trdn, chung tdi da t i l n hinh l$p trinh d l tlnh cho segment vdi hai loai bufing khic nhau. Kit qui tlnh toin cho segment vdi bufing tao i p hlnh tron cbo trdn hlnh 9. G i i trj cgc t i l u dat dupc trong tmdnp hpp n i y trong khoing R„/R^ = 0,58*0^65.

NGHIDN COll - TRflOl

Hlnh 10: sd dd tlnh cho budng trdn vi budng ddng dang

4. Bii toin chgn thdng sdhlnh hgc tdi uu cho gol dd thuy tinh dim bio cdng sugt day diu qua khelicifctlSu

Xiy dung bii toin

Cdng suit cDa hd thfing c i p d i u cho mdt gfii dd thDy tTnh bao gdm nhilu thinh phin, trong dd cd cdng suit d i y d i u qua khe hpp giOa hai m i l cfi chuyin dfing tuang dfii duac x i c djnh bang tfch giQa i p Igc trong bging tao i p v i luu lupng d i u (3a). TU bilu thilc (3a) cho thiy, cfi t h i giim thinh phin cfing suit n i y bing cich giim g i i trj cDa hd sfi cdng suit H,. Do v i y , trong q u i trinh thilt k l gfii dd thDy tTnh ngudi ta ludn mong mudn vdi kich thudc da cho cDa gfii dd (hoic mdt segment) c i n tlm kich thudc hlnh hpc cDa budng sao cho H, dat gii trj cgc tilu.

TU nhOng vf dg tfnh t o i n d trfin cd t h i rut ra nhin xet ring: khi hlnh d i n g ngoii cDa gfii hoic mdt segment l i cfi djnh thi g i i trj cDa c i e hd sd a,, q, v i H, ch? cdn phg thufie v i o kich thudc hlnh hpc cDa bufing tao i p . Vdi gdi dd cfi budng tao ap trdn thi a,, q, v i H, chT phg thudc v i o b i n kinh bufing tao i p Rj, (ham mfit biln). Bing phuong phip sfi, vipc x i c djnh g i i trj cDa R^ d l H, dat g i i trj cgc tilu l i don

giin nhu trinh biy 6 trin va cac dfi thj nhung vdi bufing tao i p cd bidn phUc tap han, vl dg nhu trong trudng hpp segment cd bufing dfing dang vdi bidn thi khdng ddn giin. Vdi trudng hpp cg t h i nhu trdn hlnh 10 thi H, se phg thudc v i o ba bidn ca b i n :

"f=f(';i„r,„.%) (18) Trong dd:

r,^ - b i n kfnh trong cDa bufing tao i p r„^ - bin kfnh ngoii cDa bufing tao ap

% - hila gfic 6 tim (goc quat) cDa bufing tao ap Ham f (r,,, r^^, cp^) khd cd t h i bilu diin bing bilu thUc giii tfch tudng minh, bdi de tlnh dupc Hf phii thdng qua rat nhieu cac tinh toin trung gian nhu da trinh bay 6 trdn. Tuy nhidn, cd t h i khang dinh ring vdi mdi t i p cac g i i trj cDa (r,^,, r,^^, (pj ta cd t h i x i c djnh dupc mfit g i i trj duy nhit cDa H,. Vide x i y dgng him f (r„, r^,,, cp,,) tudng minh cung khfing thgc sg c i n thid't khi c i c thuit loan tfii Uu mdi cho phdp giii b i i toan chi can biet gia tri cOa him. Trong hd toa dfi vdi goc l i dilm 02 nhu tren hinh 10, bai toin tfii Uu CO dang:

Tlm tap c i c g i i trj (r^, r„j, ip^) sao cho him:

»,=f(r;„r,,„<l>,)^Min; (19)

Vdi c i c dilu kidn ring budc sau: 0 > r^^ > r 0 < r„j < r„

0 < <Pb < <P, Trong dd: r, - b i n kfnh trong cDa segment

r„ - bin kinh ngoii cOa segment ]„ - nCta gdc d tim cia segment NhOng dieu kidn rang bufic trfin eh? d i m b i o bufing tao i p khfing vupt ra ngoai gidi han hlnh hpe cho phep.

Chgn phUdng phip glil

D l giii b i i toin (19) cd mfit so phudng phip

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NGHIGN CL/U - TRflOi)6l

Phuong phip biln hlnh hojc phuong phip dung sai mlm [6].

- Thu^t toin Gen (Genetic Algolrithm - GA) [7].

Thu^t toin mfi phing luyfin kim (Simulated Annealing - SA) [8].

Thuit toin tidn hfia vi phin (Differential Evolution - DE) [9, 10].

Hai phUOng phip d i u l i cic phuang phip truyin thfing, vifio xii ly c i c dilu kifin han c h l phUc tap, kd't q u i phg thufie v i o dilm xuit phit ban d i u , khd d i m bio cho chung ta nghidm tdi Uu toin cgc. Ba thuat toin sau i i c i c thuit toin thufie ldp c i c thufit toin dga trdn cd sd md phdng IVIonte-Carlo.

Kinh nghifim l|p trinh v i tlnh toin thD nghifim mdt sd b i i toin phUc tap cDa chung tdi cho thiy, thuit toin SA v i DE ludn cho k i t q u i hdi tg v i dn djnh, tifiu chuin dung x i y dgng ddn giin v i ehlnh xac hon. Thdi gian tfnh trdn miy cDa thuit toin DE ludn la nhd nhat so vdi c i c thuit toin khic khi giii nhiing b i i toin phUc tap. D l giii b i i toan (19), chung tfii da chon thuat toin DE. Gidng nhu thuit toin GA, DE dga trdn qua trinh tiln hda vdi ba toin tD cd ban l i dfit bien, iai ghep va Iga ehpn nhung b i n chit moi toin til iai khac hin vdi thuit toin GA.

Thfing thudng cd t h i dung thuit toin DE khi bilu thUc sau thfia man:

fmu.- inn

(20)

Co nghTa l i gia trj him cDa moi c i t h i trong quan t h i g i n nhu bing nhau tCiy thudc v i o g i i trj e (thudng ehpn e = 10"^).

KSt qui vi thio luin

K i t q u i tlnh c i c tham sd tfii Uu theo cdng suit d i y d i u cgc tilu cho segment gdi dd thDy tTnh m i y nghiin dUng vdi hai loai bufing cho 6 bing dudi day.

Cdc tham s5

Bin kinh Irong cia segment (cm) R, B4nkinhngoSicOasegiiienl|cm)R, NLla gdc d ISm cHa segment (d^) 9,

Cic t h a n i i t i l Uu Tf si dijn llch being cao apF/F, vii di^n llch cua segment (%]

H M lii "ong a, H^silUlilliengq, H$ si cing suit H,

Buingcao i p t r i n

41,5 66.5 10

21,7 0.507 t,4«3 2,887

Being cao i p i j n g l 3

<ilbltfl 1

4 U 68,5 10

28.5

0.586

1.458 2,569 Cie k i t q u i tlnh dupe trinh b i y fi trdn mdi chili nhUng k i t q u i budc d i u cDa d l t i i v i cung chl gidi han trcng nhiJng tlnh t o i n nghidn cUu trong vung co chuyin dfing tUdng dfii giUa hai b i m$t tnipt Tuy cdn mfit sd y l u tfi chUa t h i tlnh hit trong khi tfnh t o i n nhung nhdm nghidn cUu cung cd t h i manh dan dua ra mfit v i i nh$n x i t :

- K i t q u i q u i trinh nghidn cDu da d l xuit phUdng phip tlnh g i n dUng dga trfin cd sd vi phin didn tfcli cOa gdi dd, dfi chinh x i c cDa k i t q g i phg thufie vio mUo dfi vi p h i n n i y . Dga v i o phudng phip tinh da ndu, b i n g c i c thu^t t o i n tfii Uu mdi cfi t h i xic i(nh nhanh bfi thfing sfi hlnh hpc tfii uu cDa dfii Wijng nghidn cdu.

- Vdi phuang p h i p tlnh nhU trfin, dfi chfnh ifflC cDa c i c k i t q u i tfnh so vdi c i c k i t q u i tlnh bing giii tich cung nhu nhOng sfi li$u thgc nghidm da dupc cfing bfi 06 t h i dung dupc trong q u i trinh liip tgc nghidn cUu d dd thDy tTnh.

- Vific dCing bufing tao i p dfing dang vdi biin oOa segment khfing chi giim hfi sfi cfing suit dJje 11% so vdi budng trdn m i ofin t i n g k h i ning chju

g . TopcH KHOAHM „ ,

" CONGNGHEVIETNfir s62 + 3n5m2oi3

NGHIDN ClJU-TRROedl

Xk\ cOa gdi khi ap li^c trong buong tgo ap trong hai tradng hop 1^ nhu nhau.

- Vdi ket qu& d?it du^c se rut ngSn quk trinh thi^c nghidm vk dgt hi$u quk cao do khdng cSn ch§' tgo m6 hinh b^ng k[ch thudc thUc.

Mat khic, tLT cdc phUdng phdp ttnh cho ckc logi 6 66 thu^ lUc nSu trSn, ta nh$n th&'y vi0c xdc dinh cac kfch thudc hJnh hpc t6'i uu cho m0t segment cua goi d8 ch^n thuy ttnh theo phUdng phap khdng thU nguygn d l 6km bko cdng sud't 6ku qua khe \k cue tilu CO t h i sCf dgng mOt trong cdc thudt todn t6'i Uu sau:

- PhUdng phdp biln hlnh ho^c phUdng phdp dung sai m l m [6].

- Thuat todn Gen (Genetic Algofrithm - GA) [7].

Thudt todn md phdng luydn kim (Simulated Annealing - SA) [8].

- Thuat todn li&i hda vi phdn (Differential Evoiution - DE)[9,10].

Tren thi/c te tfnh todn, chung tdi da ehpn phUdng phdp DE Id phUdng phdp ludn cho ket qud hdi tu, I n djnh, ddn gidn va chfnh xdc.

III. Ket luin

Vide tfnh todn, thilt k l g i i 6d thDy ii/c (dm viSc theo nguydn ly mdng d^u mdng (Fluid Thin Film Bearings) bing phUdng phap tfnh cdc hd sd khdng thU nguyen, dong thdi sCf dgng thudt todn DE (Differential Evolution) trdn cd s6 md phdng Monte- Carlo cho phdp xdc dmh cdc thdng s i hlnh hpc t l i Uu cho mdt segment cCia g i i thDy iMc sao cho cdng 1 suit bdm d I u qua khe Id cgc tilu. Ddy cung Id dilu I kidn c i n d l vi^c sD dgng g i i dd dgng ndy ddm bdo I tinh kinh t l .

Cdc khdo nghifim khi thgc hien d l tai cho thay:

goi dd thuy lgc dUdc c h l tgo vdi cdc thdng s i hinh I hpc dUdc tfnh toan theo phUdng phdp dd ndu lam I viec I n djnh, cac thdng so Idm vide do dgc dUdc khi I khdo nghidm hoan todn phD hdp vdi tfnh todn. NhU

vdy c6 t h i k i t lu$n rdng: phUdng phdp tfnh todn ndu trdn cd cd sd khoa hpc, cd dD d | tin cdy khi Ung dgng vdo thgc t l , d$t cd sd cho vi^c lam chD thilt k l , c h l tgo g i i thOy tTnh trong nUdc •

Tai li$u tham khao

1. rappM Piinnejia: "flpoeKTHpOBaHMe rtiflpocTaTMHecKMX riofliuMnHMKOB" MAUJMHOCTPOEHME - MocKBa, 1967.

2. CA. HEPHABCKMM: "nOflUJMnHHKM CKOJl'b>KEHMfl" MAUJHH0CTPOMTE/l"bHAJ1 JIHTEPATVPA - MocKsa, 1963

3. Nguyen HOu Chf: "Ccf hQC ch^t I6ng Cfng dyng - TSp 1;

PhSn dai CUdng". Nxb Dai hgc vS Trung hpc chuySn nghigp -HdNOi, 1972.

4. Nguy§n Phi/dc Hoing: 'Thily Ijc vS m i y thuy lyc - T§p 1; ThOy iMc dgi ci/dng". Nxb Dgi hi?c vii Trung hgc chuydn nghidp - H i N6i, 1970.

5. W.B. Rowe, J.P. O'Donoghue: "Design Procedures for Hydrostatic Beartngs".

6. M. Davis Himelblau: "Aplication Nonliear Programming" - Mir, 1975.

7. Zbigniew Michalewicz: "Genetic Algorithms + Data Structures = Evolution Programs". Springer - Verlag, 1994.

8.S.Kirltpatrick,C.D.Gelatt,Jr.M.P.Vecchi:''Optimization by Simulated Annealing. Volum220''. SCIENCE, 1983.

9. Rainer Storn, Kenneth Price: "Differential Evolution - A Simple and effective scheme for global optimization over continue spaces", 3-1995.

10. Kenneth Price, Rainer Storn, Jouni Lampinen:

"Differiential Evolution - A Practical Approach to Global Optimization". Spnnger, 2005.

11. Kingsbury, Inc - 2003: "Equalizing Thrust Bearings - Comprehensive Design Guide 2003". Jk\ li$u Internet.

12. FLENDER - 2006: "Bevel Planetary Gear Units for Vertical Mill Drives". T i i ligu ndi b$.

13. R. Gohar H.Rahnejat: "Fundamentals of Tribbology".

Imperial College Press, 2008.

14.BorflaHOB.O.M:"PacHeTOnopCKOjn>)KeHMJi".TEXMKA KMEB, 1966,

o ^ o n - ««^« TapcWKHOAHft

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