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No. 4, 1998 - Tribology in Industry

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lnL<br />

!8p:=lt'--_<br />

-<br />

'"-"r'<br />

2'<br />

or vaiues rcd t if the diagramg ir: Figilres 5 and 7,<br />

'llhe r;r:;.; rii energies sperll on fricricn between<br />

'rhe clearirg,<br />

i-rc; anrl ihe mach<strong>in</strong>ed piece, aud the energy of<br />

irr,rrirrn beiv,':gn ihe rake face anci ihc chip, can be<br />

ir ir:im<strong>in</strong>ed accore',<strong>in</strong>g to expression (Figure 8):<br />

'1": '^-'. =' - | i '"-"'r-- |!.i';Lsq,'.(n!.p:i).:4 '':- .o-.fl.s9!.r<br />

'=-'" -,, =l(trapt,a,tr) -<br />

;;';,8;i<br />

4", fir<br />

-' : ''bi\/'))'6,('t) n<br />

0,5<br />

q<br />

6<br />

1,25<br />

rvhere:<br />

or by' us<strong>in</strong>g ciiagrams <strong>in</strong> Figures 12 ta i5.<br />

As the total energy- A can be represented approximately<br />

as the sum of energies of the <strong>in</strong>ternal and external frictions:<br />

where:<br />

. ) - sirt],<br />

""'<br />

Q=rr,c(:rtl'<br />

cosy<br />

A = Afi+ Ast<br />

Arr=A'tiA"t<br />

thus the ratio is:<br />

t's! a nt A, ( t'tl A,, \<br />

-::- - l,<br />

,r, A, .1, _ A" I<br />

\)<br />

EXAMPLE: For the cLrtt<strong>in</strong>g,Jepth of n:0. 5 mm andthe<br />

tool with the rake angle y=5", the clear<strong>in</strong>g atgle a:6o,<br />

and the round<strong>in</strong>g radius of the bladep 1=0.020 mm, and<br />

for the chip slenderness ratio A=2.5,we have:<br />

^<br />

.a-L 1<br />

V= o'2sszg<br />

*=t,t,'<br />

t=<br />

ZU<br />

!:igure 9- Diagr:ttlr lor detent<strong>in</strong>aiiott o! ilrc ralio betv'een<br />

:!i enrry)' ccnsuttrcd on fricliort bi:Iv,cctl<br />

the chip and tle rake lace and tlrc total<br />

enetyl co,tsutned <strong>in</strong> ti:'e cuttitit pocess<br />

Figure 11. Contact of tlrc hlaCe and tlrc active pan<br />

o.f thc kto! cbar<strong>in</strong>g fuce<br />

A1<br />

-.'.;<br />

I<br />

t--<br />

I<br />

I<br />

.1,2C<br />

I<br />

. .1 q<br />

li"iit<br />

i-! i-:!<br />

I!<br />

L_<br />

!<br />

:<br />

I<br />

i<br />

I<br />

;--<br />

I<br />

'<br />

t--<br />

I<br />

i<br />

!<br />

t_<br />

t<br />

t!<br />

J0<br />

2A<br />

*{.1=t,i)y=const.<br />

I<br />

JU<br />

v-- 'l,/<br />

t/<br />

)" = 0",'<br />

r = lflo<br />

I<br />

40<br />

I<br />

50<br />

j^ ].<br />

OU<br />

0<br />

: 'qt,ta i ii. ):a.grr;stt for dtler:ti<strong>in</strong>atiott of tlrc rctio L>ef,vcur<br />

!!.i: ei!e t-q.,' i't'tnsi;t;ic:i otr fiictiott ltaI*'ectt<br />

t|rc chip and rhr nke face l<strong>in</strong>l the tolal<br />

.Jtet4' coir::!l,rttd ii't tltc cull<strong>in</strong>g prccess<br />

Figure 12. Aaxiliary Juitction gt for detern<strong>in</strong>ation of tlte<br />

ratio befpeen errctgies cortsunteri ott fiictktrt<br />

betvteettlrc clearirg face and ilrc trwclr<strong>in</strong>ed<br />

picce, and bctti'{:ett tlu: chip attd tlre rake face<br />

;.'-r'lri,i ,3r, li; i;ttitistry- !'oiusre 2*, <strong>No</strong>. ,1, <strong>1998</strong>.<br />

131

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