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    S V E U I L I T E U Z A G R E B U

    FAKULTET STROJARSTVA I BRODOGRADNJE

    Katedra za materijale i tri!l!"ij#

    SEMINARSKI RAD IZ KOLEGIJA TRIBOLOGIJA:

    UTJECAJ HRAPAVOSTI POVRINE NA TRENJE

    I TROENJE

    Mentor:Dr$ %&$ Kre'imir Grile&( di)l$ i*" St!ent:+ar,! Vi*di'

    --./01-234

    Za"re( 5-03$

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    S"!r#"$

    0$ UVOD$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$0

    5$ 6RA7AVOST 7OVRINE$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$5

    5$0 O%*!8*i )!jm!8i 9ra)a8!%ti$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$5

    5$5 St8ar*i d!dir d8ij# )!8r'i*a$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$.

    .$ UTJE:AJ 6RA7AVOSTI NA TROENJE$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$/

    .$0 Arazij%,! tr!'e*je$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$/

    .$5 Ad9ezij%,! tr!'e*je$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$;

    .$. Izjeda*je$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$1

    .$2 Um!r )!8r'i*e$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$00

    .$/ 7r!&e% #9!da8a*ja$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$05

    Za,lj#

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    Po%&' '(&)"

    Sli,a 0$ Re=ere*t*a d#lji*a )r!=ila( l( %red*je aritmeti ?0@$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$5

    Sli,a 5$ 6ertz !8 d!dir d8ij# ,#"li ?3@$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$.

    Sli,a .$ N!mi*al*a i %t8ar*a d!dir*a )!8r'i*a ?3@$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$2

    Sli,a 2$ S9emat%,i )ri,az arazij%,!" tr!'e*ja ?/@$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$/

    Sli,a /$ Jedi*i

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    Po%&' t"*(&+"

    Tali&a 0$ Ti)i

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    S"#et")

    Tre*je je )!ja8a ,!ja %e *e m!e izjei i )!ja8lj#je %e # razli

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    -. UVOD

    Za !%t8are*je relati8*!" "ia*ja izmeC# d!dir*i9 )l!9a trea %a8ladati %il# tre*ja rije< tre*je

    d!lazi !d "la"!la trti( trljatiH e*"le%,i izraz =ri&ti!* ima )!rije,l! # lati*%,!j ime*i&i =ri&are trlja*je ?0@$

    7rema de=i*i&iji tre*je je %ila ili !t)!r ,!ja %e %#)r!%ta8lja relati8*!m ,reta*j# ,r#ti9 tijela #

    d!dir#$ Djel#je )aralel*! % d!dir*im )!8r'i*ama( a %mjer j!j je %#)r!ta* %mjer# relati8*!"

    ,reta*ja ?5@$

    Tre*je je )!%ljedi&a ,emij%,!" i me9a*i

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    /. HRAPAVOST POVRINE

    7!8r'i*%,a 9ra)a8!%t !#98aa !d%t#)a*ja )!8r'i*e izrazda*!%t i 9ra)a8!%t )a %e m!e

    de=i*irati ,a! %8e#,#)*!%t mi,r!"e!metrij%,i9 *e)ra8il*!%ti *a )!8r'i*i )redmeta ,!je %#

    m*!"! )#ta ma*je !d )!8r'i*e &ijel!" )redmeta( a )r!#zr!

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    Sred*je ,8adrat*! !d%t#)a*je )r!=ila( Rqje %red*ja ,8adrat*a 8rijed*!%t )r!=ilap #

    "ra*i&ama re=ere*t*e d#lji*e l 7r!%je

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    Sli,a .$ N!mi*al*a i %t8ar*a d!dir*a )!8r'i*a ?3@

    St8ar*a d!dir*a )!8r'i*a )r!)!r&i!*al*a je r!j# jedi*i

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    0. UTJECAJ HRAPAVOSTI NA TROENJE

    6ra)a8!%t )!8r'i*e ima 8i%!, #tje&aj *a ,!e=i&ije*t tre*ja( a time i *a tr!'e*je$ N!( dr#"a

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    I =aza )r!dira*je arazi8a a # )!8r'i*# materijala 0 )!d #tje&ajem *!rmal*e

    ,!m)!*e*te !)teree*ja FNSli,a /$ I( II =aza i%ti%,i8a*je materijala # !li,#

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    .$5 Ad9ezij%,! tr!'e*je

    Ad9ezij%,! tr!'e*je *a%t#)a # %l#

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    V!l#me* ad9ezij%,!" tr!'e*ja )r!)!r&i!*ala* je )rimije*je*!m !)teree*j# W iliFN i

    #dalje*!%ti ,!d ,liza*ja x i !)e*it! je !r*#t! )r!)!r&i!*al*a t8rd!i !)!8r'i*e ,!ja %e

    tr!'i % )rimar*! )la%ti

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    Ad9ezij%,! tr!'e*je je rez#ltat %mi&a*ja %)!je8a ,!ji *a%taj# )rili,!m tre*ja =ri&ti!*

    j#*&ti!*$ O%*!8*i me9a*izam tr!'e*ja je ad9ezija ,!ja )red%ta8lja 8a*# ,!m)!*e*t# tre*ja

    ?/@$

    .$. Izjeda*je

    Izjeda*je e*"l$ fretting' je )r!&e% tr!'e*ja ,!ji *a%taje izmeC# d8ij#( )ri8id*!

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    +et!de ,!jima %e %)rje

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    .$2 Um!r )!8r'i*e

    Um!r )!8r'i*e je !d8aja*je

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    Sli,a 00$ Rez#ltati di*am

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    Sli,a 05$ Kri8#lja ,8ar!8a tri!%#%ta8a ?0.@

    Kada %# d8ije )!8r'i*e meC#%!*! # d!dir# )r8i )#t i )!

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    D8ije %# =aze #*#tar )eri!da #9!da8a*ja$ U )r8!j =azi ,!e=i&ije*t tre*ja rz! )ada %li

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    Z")($,")

    Tre*je( a time i tr!'e*je( !8i%i ! %amim 8r%tama materijala )!8r'i*a # d!dir# i ! )!8r'i*%,!j

    9ra)a8!%ti$ 7!8r'i*%,a 9ra)a8!%t ima 8i%!, #tje&aj *a tr!'e*je( ali *a %8a,i me9a*izam

    tr!'e*ja( taj #tje&aj je dr#"a

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    L&ter"tr"

    ?0@ K$Grile&( S$ Ja,!8lje8i Tri!l!"ija( A#t!rizira*a )reda8a*ja( Za"re( 5-0/$

    ?5@ J$ Ver

    ?;@ V$ I8#'i( Tri!l!"ija( 6r8at%,! dr#'t8! za materijale i tri!l!"ij#( Za"re( 5--5$

    ?4@ 9tt)$)!et!*$&!$#,0)%!l8er=retti*"$9tm

    ?1@ +$J$ Neale( Tri!l!"Y 6a*d!!,( B#tter!rt9%( L!*d!* 01;.$

    ?0-@ S$ Fred :al9!#* TE:6NI:AL RE7ORT E==e&t != metal 9ard*e%% a*d %#r=a&e =i*i%9#)!* =retti*" &!rr!%i!*( Vir"i*ia( 013.$( 9tt)$dti&$mildti&tr=#llteWt#52-4.2-$)d=(

    d!%t#)*! 00$-3$5-03$

    ?00@ R$ $ S#9r T9e E==e&t != S#r=a&e Fi*i%9 !* 6i"9 :Y&le Fati"#e != a L! All!Y Steel(

    (he )ehaviour od *hort Fatigue +racks( L!*d!*( 0143$

    ?05@ J$ Jamari( R#**i*"i* != R!lli*" :!*ta&t%( 79$D$ T9e%i%( U*i8er%itY != Te*te( 5--3.

    ?0.@ [$( AS+ 6a*d!!,( V!l$ 04 Fri&ti!*( l#ri&ati!* a*d ear te&9*!l!"Y( AS+I*ter*ati!*al( 0115$

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    Bri%t!l a*d 79iladel)9ia( 0112$

    ?0/@ V$ Kra"el%,Y( +$N$ D!Y&9#*( V$S$K!mal!8( Fri&ti!* a*d ear :allati!* +et9!d%(

    7er"am!* 7re%%( OW=!rd( 0145$

    ?03@ J$ Jamari( R#**i*"i* != R!lli*" :!*ta&t%( 79$D$ T9e%i%( U*i8er%itY != Te*te( 5--3$

    16

    http://www.enciklopedija.hr/Natuknica.aspx?ID=62180http://www.poeton.co.uk/w1/p-solver/fretting.htmhttp://www.dtic.mil/dtic/tr/fulltext/u2/408340.pdfhttp://www.enciklopedija.hr/Natuknica.aspx?ID=62180http://www.poeton.co.uk/w1/p-solver/fretting.htmhttp://www.dtic.mil/dtic/tr/fulltext/u2/408340.pdf