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Cap. 2. ORGANE DE MASINI FILETATE - Catedra de Organe de ...

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<strong>Cap</strong>. <strong>2.</strong> <strong>ORGANE</strong> <strong>DE</strong> <strong>MASINI</strong> <strong>FILETATE</strong><br />

FILETUL<br />

Surub<br />

Surub cu<br />

ochi<br />

Canal realizat prin <strong>de</strong>plasarea unui PROFIL GENERATOR <strong>de</strong>-a lungul unei<br />

ELICE DIRECTOARE infasurata pe un CILINDRU interior sau exterior<br />

ori (mult mai rar) pe un CON sau TRUNCHI <strong>DE</strong> CON (interior /exterior)<br />

<strong>Cap</strong>ac<br />

transparent<br />

filetat<br />

Stift filetat<br />

Analogie cu PLANUL INCLINAT<br />

α 1<br />

π d 1(d 3)<br />

ππ ππ d2 d2 d2 d2<br />

Feb. 2011 -- T.Cicone 1/50<br />

Micrometru<br />

Menghina pentru tevi<br />

π d<br />

α 2<br />

α<br />

p<br />

d 1(d 3)<br />

elice<br />

directoare<br />

profil<br />

generator<br />

α1<br />

cilindru<br />

director<br />

1. Componente <strong>de</strong>dicate – șuruburi, prezoane, știfturi filetate, piulițe<br />

<strong>2.</strong> Componente speciale filetate – capace, roti, arbori, carcase, etc<br />

APLICATIILE FILETULUI<br />

Feb. 2011 -- T.Cicone 2/50<br />

Intinzator<br />

d2<br />

d<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

Cric cu piulita rotitoare<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

1


• Amplificarea fortei<br />

(Exercitarea/transmiterea fortelor)<br />

• Reglarea pozitiei relative<br />

• Masurarea lungimilor<br />

FUNCTIILE FILETULUI (i)<br />

•Fixare/asamblare<br />

•Etansare<br />

•Tensionare<br />

•Ridicare<br />

• Transformarea miscarii <strong>de</strong> translatie in rotatie (sau invers)<br />

Mecanism cu autoblocare/autofranare<br />

Feb. 2011 -- T.Cicone 3/50<br />

Piesele<br />

stranse<br />

Surub<br />

filet <strong>de</strong> fixare<br />

INFO<br />

WWW.BOLTSCIENCE.COM<br />

filet <strong>de</strong> miscare<br />

FUNCTIILE FILETULUI (ii)<br />

filet <strong>de</strong> fixare filet <strong>de</strong> miscare<br />

Saiba<br />

Grower<br />

Piulita<br />

Transforma miscarea <strong>de</strong> rotatie a surubului<br />

sau a piulitei, in miscare <strong>de</strong> translatie <strong>de</strong>-a<br />

lungul axei <strong>de</strong> simetrie comune .<br />

Feb. 2011 -- T.Cicone 4/50<br />

F<br />

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OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

• Surub rotitor – Piulita translatie<br />

• Piulita rotitoare – Surub <strong>de</strong> translatie<br />

• Piulita rotitoare – Piulita translatie<br />

•? –?<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

2


PROFILE <strong>DE</strong> FILET<br />

Inch Gaz - inch Sharp – V(inch) V (inch) Metric - ISO<br />

Patrat Trapezoidal Fierastrau Rotund<br />

patrat<br />

Suruburi <strong>de</strong> miscare<br />

trapez<br />

Feb. 2011 -- T.Cicone 5/50<br />

Diametru exterior<br />

NOMINAL, d<br />

Diametru<br />

mediu, d 2<br />

Diametru<br />

interior, d 1(d 3 )<br />

D<br />

Axa <strong>de</strong><br />

simetrie<br />

d2=D2<br />

H 2<br />

D 1<br />

Incarcare uni-directionala<br />

Filetul metric – dimensiuni principale<br />

H/8<br />

H 1<br />

H/4<br />

60°<br />

surub<br />

axa <strong>de</strong> simetrie comuna<br />

Pas, p<br />

filet exterior<br />

H/16<br />

p<br />

piulita<br />

d 1<br />

d 2=D 2<br />

H 2=H 1-H/16=0.487p<br />

Feb. 2011 -- T.Cicone 6/50<br />

H/6<br />

H<br />

H/2<br />

d<br />

H=0.866p<br />

H 1=5H/8=0.541p<br />

filet interior<br />

Pas, p<br />

arc <strong>de</strong> cerc<br />

Concentrator<br />

<strong>de</strong> eforturi<br />

redus<br />

triunghi<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

SPECIFICATIE<br />

Tip Alte <strong>de</strong>talii<br />

M 40 × 1.5 LH<br />

d p<br />

•Sens<br />

•Clasa <strong>de</strong> tolerante<br />

•Numarul <strong>de</strong> inceputuri<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

3


Numarul <strong>de</strong> inceputuri<br />

• 1, 2 sau 3 (rar) inceputuri<br />

capat <strong>de</strong> spira<br />

α2<br />

Clasificarea filetelor<br />

Sensul filetului<br />

• Filet dreapta<br />

• Filet stanga<br />

l<br />

l<br />

p<br />

capat <strong>de</strong> spira p<br />

capat <strong>de</strong> spira<br />

(a) 1 inceput – filet dreapta (b) 2 inceputuri – filet stanga<br />

Feb. 2011 -- T.Cicone 7/50<br />

Diametrul corpului<br />

surubului - d0 usual<br />

acelasi cu diamterul<br />

nominal<br />

Inclinare<br />

elice, α<br />

Diametru<br />

interior, d1 (d3)<br />

α2<br />

Pas aparent - p Pas (avans), l<br />

Elementele constructive ale suruburilor<br />

<strong>Cap</strong><br />

Racordare<br />

parte<br />

nefiletata<br />

Iesirea<br />

(<strong>de</strong>gajarea)<br />

filetului<br />

Pas, p Filet<br />

Diametru<br />

exterior, d<br />

Crest<br />

Corp<br />

Feb. 2011 -- T.Cicone 8/50<br />

d0 < d<br />

Pasul<br />

•Normal<br />

•Fin<br />

• GGrosolan l<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

d0 > d<br />

Surub elastic Surub cu umar<br />

Surub <strong>de</strong> pasuire<br />

RRoot t Zona filetata: tip tip, d, d p, p <strong>de</strong>talii<br />

Varf<br />

Corp: tip, lungime, (d 0)<br />

<strong>Cap</strong> & varf – forma<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

4


joc<br />

lungime <strong>de</strong><br />

insurubare<br />

Tipuri <strong>de</strong> asamblari filetate<br />

saiba<br />

lungime<br />

surub<br />

(a) Surub (b) Surub + piulita<br />

Feb. 2011 -- T.Cicone 9/50<br />

Semirotund<br />

crestat<br />

Bombat si gat<br />

lungime <strong>de</strong><br />

insurubare<br />

Tronconic Tronconic<br />

grosime<br />

piese<br />

stranse<br />

joc<br />

(c) prezon (d) bara filetata + 2 piulite<br />

Elementele constructive ale suruburilor<br />

semi-inecat<br />

crestat<br />

semi-inecat<br />

crestat<br />

Hexagonal Hexagonal cu<br />

guler<br />

Patrat<br />

Hex interior<br />

Conic Plat Oval Cilindric Cupa<br />

Feb. 2011 -- T.Cicone 10/50<br />

Pentru tabla<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

Pentru lemn (Holtz-surub)<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

5


Forme constructive <strong>de</strong> piulite<br />

Feb. 2011 -- T.Cicone 11/50<br />

Plata<br />

Saiba <strong>de</strong> siguranta cu<br />

dinti frontali<br />

Forme constructive <strong>de</strong> saibe<br />

Saiba <strong>de</strong><br />

siguranta cu dinti<br />

exteriori Saiba Grower<br />

Saiba <strong>de</strong><br />

siguranta cu dinti<br />

interiori<br />

Saiba conica<br />

(Belleville)<br />

Feb. 2011 -- T.Cicone 12/50<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

6


Materiale<br />

A. Suruburi <strong>de</strong> miscare Filet trapezoidal, ferestrau sau patrat<br />

Cuplu - <strong>de</strong> materiale DUR/ MOALE –pentru a reduce uzura si a evita griparea<br />

OTEL/ Fonta, bronz, aliaje neferoase<br />

BB. Suruburi <strong>de</strong> fixare Filet metric - M<br />

Surub<br />

Aplicatii normale - otel carbon cu continut redus sau mediu<br />

Aplicatii importante - otel aliat cu Mo, Ti, Ni-Cr<br />

Aplicatii speciale - bronz, mat plastice <strong>de</strong> inalta rezistenta<br />

Piulita Otel fosforos, otel aliat, mat. plastice<br />

σ r = min 6×100MPa<br />

SPECIFICATII MATERIAL<br />

M40 × 15 - 6.8 SURUB<br />

M40 - 6 PIULITA<br />

Feb. 2011 -- T.Cicone 13/50<br />

• Filet interior<br />

Gaurire Alezare Tesire Filetare<br />

60°<br />

dd0<br />

≈≈ diametrul<br />

interior (minim)<br />

L adancimea<br />

<strong>de</strong> gaurire<br />

diametrul<br />

nominal d<br />

tesire<br />

i<br />

c×45°<br />

Tehnologie (i)<br />

Feb. 2011 -- T.Cicone 14/50<br />

l<br />

σ c = min 6×8 × 10MPa<br />

TAROD<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

• Filet exterior<br />

Tarod conic<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

7


• Frezare<br />

Piesa<br />

Aschii<br />

Tehnologie (ii)<br />

Freza<br />

• Roluire = <strong>de</strong>formare plastica la rece<br />

Piesa<br />

Rola<br />

Rola<br />

Feb. 2011 -- T.Cicone 15/50<br />

T<br />

Cutit<br />

Piesa<br />

• Strunjire<br />

Cutit<br />

Deformare plastica sau Aschiere pentru o mai<br />

buna aranjare a fibrei materialului ?<br />

Fortele si momentele din cupla filetata (i)<br />

α<br />

α2<br />

α1<br />

ππ d d1(d3) (d )<br />

π π d2 d2<br />

d1<br />

d2<br />

d<br />

π d<br />

F<br />

a) <strong>de</strong>taliu al unei spire<br />

patrate si o parte a piulitei<br />

p<br />

N<br />

d1(d3)<br />

d2<br />

d<br />

elice<br />

directoare<br />

profil<br />

generator<br />

T<br />

α1<br />

cilindru<br />

director<br />

F<br />

p<br />

tanα<br />

2 =<br />

π d<br />

α2<br />

b) spira <strong>de</strong>sfasurata<br />

Feb. 2011 -- T.Cicone 16/50<br />

α2<br />

Ff<br />

F<br />

N<br />

T<br />

c) strangere (insurubare)<br />

α2<br />

2<br />

F f<br />

r r r r<br />

+ F + N + F<br />

T f<br />

= μN<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

tan( ϕ ) =<br />

= 0<br />

Frecare – mo<strong>de</strong>l Coulomb<br />

μ<br />

⎧T<br />

cosα<br />

2 − μN<br />

− F sinα<br />

2 = 0<br />

⎨<br />

⎩−T<br />

sinα<br />

2 + N − F cosα<br />

2 = 0<br />

Deplasarea<br />

sarcinii F<br />

T<br />

= F tan 2<br />

Frecarea<br />

dintre spire<br />

( α + ϕ)<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

8


Fortele si momentele din cupla filetata (ii)<br />

Desfacere (<strong>de</strong>surubare)<br />

Conditia <strong>de</strong> autofranare<br />

= F tan 2<br />

α <<br />

2<br />

GGeneralizare li T F ttan<br />

( α ± ϕ )<br />

β/2<br />

N N *<br />

F f<br />

T<br />

= 2<br />

= μ N<br />

* μ<br />

μ =<br />

cos ββ<br />

*<br />

( 2 )<br />

( α −ϕ<br />

)<br />

Corectia pentru filetul metric (flanc inclinat cu unghiul β )<br />

β<br />

ϕ<br />

N<br />

= μ<br />

cos<br />

( β 2)<br />

* ( α ± )<br />

= F tan ϕ<br />

Feb. 2011 -- T.Cicone 17/50<br />

T<br />

Momentul <strong>de</strong> insurubare<br />

2<br />

*<br />

tanϕ ϕ = μμ<br />

M t1<br />

*<br />

α2<br />

T<br />

α2<br />

F<br />

N<br />

Ff<br />

Conditia <strong>de</strong> autofranare<br />

*<br />

α 2 < ϕ<br />

d 2 d 2<br />

= T = F tan<br />

2 2<br />

Fortele si momentele din cupla filetata (iii)<br />

2) Momentul <strong>de</strong> frecare piulita/suprafata <strong>de</strong> asezare<br />

a) Suprafata inelara (presiune <strong>de</strong> contact constanta)<br />

(i)<br />

(ii)<br />

S 2<br />

F S<br />

M t2<br />

= ∫ μμ<br />

c rp 2 2ππ<br />

r d r = μμ<br />

c ⋅<br />

3 S<br />

D0<br />

2<br />

M = μ FR<br />

t2<br />

c<br />

m<br />

3<br />

− D<br />

a) Suprafata circulara (presiune <strong>de</strong> contact constanta)<br />

F<br />

d0 d0 R m<br />

2<br />

S + D<br />

=<br />

4<br />

− D<br />

Feb. 2011 -- T.Cicone 18/50<br />

d<br />

2<br />

0<br />

3<br />

0<br />

2<br />

0<br />

0<br />

d0<br />

= ∫<br />

r μ c p(<br />

2πr<br />

d r)<br />

= μ F<br />

3<br />

M t2<br />

c<br />

0<br />

dr<br />

* ( α ± ϕ )<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

r<br />

F<br />

D o<br />

2<br />

p=const<br />

.<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

S<br />

9


Momentul total<br />

(la cheie)<br />

(a)<br />

M = KF = L S K ≈ ( 0 . 15÷<br />

0.<br />

20)d<br />

) ≈(<br />

12÷ 15)d<br />

tot<br />

w<br />

a<br />

Concluzii<br />

* ( α ± ϕ ) + FR = K F<br />

d2<br />

= M t1<br />

+ M t 2 = F tan 2 μc<br />

2<br />

M tot<br />

m<br />

F = ( 60 ÷ 100)<br />

S Filetul este un puternic amplificator <strong>de</strong> forta<br />

a<br />

L w<br />

(b) Forta rezultata in surub nu poate fi cunsocuta cu exactitate<br />

Feb. 2011 -- T.Cicone 19/50<br />

Lw<br />

( )<br />

Sa<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

Corelatia Moment la cheie – Forta din surub<br />

M t1≈23Nm<br />

Feb. 2011 -- T.Cicone 20/50<br />

* ( α 2 ± ϕ ) + μcFRm<br />

μ = c<br />

d2<br />

M tot = F tan<br />

μ<br />

2<br />

M10×1.5<br />

F ≈ 19 kN ! F ≈ 46 kN !<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

10


Eficienta momentului total la cheie<br />

Feb. 2011 -- T.Cicone 21/50<br />

η =<br />

L<br />

L<br />

u<br />

i<br />

Lucru mecanic util<br />

Randamentul cuplei filetate<br />

Lucru mecanic consumat<br />

Lu = Fp<br />

L = 2πM<br />

Feb. 2011 -- T.Cicone 22/50<br />

i<br />

tot<br />

i<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

Frecarea pe guler neglijata<br />

L = 2πM<br />

2<br />

t1<br />

Fp tanα<br />

η = =<br />

π d T tan<br />

2<br />

* ( α + ϕ )<br />

( α ) = 41÷<br />

42°<br />

2<br />

max<br />

2<br />

( αα<br />

) = 2 ÷ 6 6°<br />

2 uzual<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

11


Solutii <strong>de</strong> crestere a randamentul cuplei filetate (i)<br />

(i) Mai multe inceputuri<br />

l<br />

tanα<br />

2 =<br />

π d<br />

2<br />

Fp tanα<br />

η = =<br />

π d T tan<br />

Feb. 2011 -- T.Cicone 23/50<br />

2<br />

2<br />

* ( α + ϕ )<br />

2<br />

(ii) Surub hidrostatic<br />

Pentru acelasi pas, p,<br />

α 2 creste Coeficient <strong>de</strong> frecare extrem<br />

<strong>de</strong> redus<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

Solutii <strong>de</strong> crestere a randamentul cuplei filetate (ii)<br />

(iii) Suruburi cu bile<br />

Feb. 2011 -- T.Cicone 24/50<br />

η = 0.<br />

85...<br />

0.<br />

92<br />

Surub cu bile cu<br />

doua circuite<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

12


Solutii <strong>de</strong> crestere a randamentul cuplei filetate (iii)<br />

(iv) Suruburi cu role<br />

(Planetary roller-screw)<br />

Feb. 2011 -- T.Cicone 25/50<br />

Suruburi cu role<br />

Feb. 2011 -- T.Cicone 26/50<br />

Wikipedia<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

13


Suruburi prestranse supuse la sarcini exterioare<br />

p<br />

F<br />

F 0<br />

F=0<br />

F0=0<br />

Δl f<br />

Δl s<br />

Feb. 2011 -- T.Cicone 27/50<br />

a)<br />

1. Prestrangere cu F 0<br />

<strong>2.</strong> Forta exterioara, F<br />

F=0<br />

F0≠0<br />

F 0<br />

δ<br />

δ<br />

F≠0<br />

F0≠0<br />

b) c)<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

Suruburi prestranse supuse la sarcini exterioare<br />

Robert Norton<br />

Feb. 2011 -- T.Cicone<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

14


RIGIDITATEA<br />

RIGIDITATEA<br />

ECHIVALENTA<br />

E H V LEN<br />

Rigiditatea surubului<br />

1<br />

k<br />

s/f<br />

RIGIDITATEA PIESELOR<br />

STRANSE (FLANSEI)<br />

1 1 1<br />

= +<br />

k k<br />

k f<br />

1<br />

2<br />

“O”-ring<br />

1 l<br />

=<br />

k EA<br />

1<br />

= ∑ =<br />

k<br />

i i<br />

f<br />

∑<br />

l i<br />

E A<br />

i i i<br />

1 1 1 1<br />

= + +<br />

k k k k<br />

Feb. 2011 -- T.Cicone 29/50<br />

Simulare<br />

cu EF<br />

1<br />

2<br />

garn<br />

F=24 kN<br />

D i=17 mm<br />

D o=20 mm<br />

1<br />

≅<br />

k<br />

garn<br />

garnitura<br />

" "moale" l "<br />

p pm=275 275 MPa<br />

pmax=347 MPa<br />

RIGIDITATEA<br />

SURUBULUI<br />

l 1<br />

l 2<br />

d 0<br />

1 1 ⎛ 4l<br />

⎞<br />

⎜ 1 4l<br />

2<br />

= ⎟<br />

⎜<br />

+ 2 2<br />

k ⎟<br />

s E ⎝ πd0<br />

πd2<br />

⎠<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

Rigiditatea asamblarii – Mo<strong>de</strong>lare cu elemente finite<br />

Mo<strong>de</strong>l<br />

simplificat<br />

60°<br />

Feb. 2011 -- T.Cicone 30/50<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

d<br />

15


Diagrama elastica a asamblarii - Prestrangerea<br />

k f = tan( ψ f )<br />

Comprimarea<br />

pieselor stranse<br />

Δl<br />

ψ f<br />

Comprimare<br />

F<br />

F<br />

0<br />

0<br />

Δl Δl s =<br />

f = F ks = tan( ψ s )<br />

k<br />

k<br />

f<br />

Δl f<br />

F 0<br />

Intin<strong>de</strong>rea surubului<br />

ψ s<br />

Feb. 2011 -- T.Cicone 31/50<br />

F<br />

Forta suplimentara din surub<br />

δ<br />

Δl s<br />

s<br />

ψf Intin<strong>de</strong>re<br />

F<br />

F=0<br />

F0=0<br />

Δl<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

Diagrama elastica a asamblarii – Forta exterioara<br />

Forta totala din surub Ft s<br />

ψ s<br />

Δl s<br />

F F0<br />

k k<br />

′<br />

f<br />

F Fz F 0<br />

F z ′<br />

z<br />

δ = = = F + F0<br />

ψψ f<br />

Feb. 2011 -- T.Cicone 32/50<br />

F<br />

Δl f<br />

F +<br />

F″ 0 Reducerea fortei<br />

<strong>de</strong> strangere<br />

F′ 0<br />

p<br />

Δ<br />

l s<br />

Δ<br />

Forta <strong>de</strong> strangere<br />

reziduala<br />

a)<br />

Δl<br />

F ′ ′′<br />

t = F0<br />

Fz<br />

0 = F0<br />

− F0<br />

F=0<br />

F0≠0<br />

l f F 0<br />

b)<br />

δ<br />

δ<br />

F≠0<br />

F0≠0<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

c)<br />

16


Diagrama elastica a asamblarii – Analiza fortelor<br />

Obiective<br />

Forta suplimentara din surub<br />

Forta totala din surub<br />

Reducerea fortei <strong>de</strong> strangere<br />

Forta <strong>de</strong> strangere reziduala<br />

ks<br />

Fz<br />

= F<br />

k + k<br />

F<br />

s<br />

t = F0<br />

+ Fz<br />

= F0<br />

Feb. 2011 -- T.Cicone 33/50<br />

F<br />

Forta din surub cat mai mica<br />

CONTRADICTIE<br />

Forta reziduala <strong>de</strong> strangere cat mai mare<br />

δ *<br />

f<br />

ks<br />

+ F<br />

k + k<br />

k f<br />

F′0<br />

′ = F<br />

ks<br />

+ k f<br />

k f<br />

F0′<br />

= F0<br />

− F0′<br />

′ = F0<br />

− F<br />

k + k<br />

δ<br />

Ft<br />

F0′<br />

⇓<br />

⇑<br />

k<br />

s<br />

s<br />

s<br />

ks<br />

k + k<br />

k<br />

f<br />

f<br />

=<br />

s + k f 1<br />

f<br />

f<br />

1<br />

=<br />

k f 1+<br />

k<br />

1<br />

k<br />

+ s<br />

k<br />

s<br />

f<br />

⇓<br />

⇓<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

Diagrama elastica a asamblarii – Analiza fortelor<br />

Δl s<br />

F 0<br />

Feb. 2011 -- T.Cicone 34/50<br />

F<br />

F<br />

F″ 0<br />

F′ 0<br />

F t<br />

F * t<br />

F′ 0<br />

Δl<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

17


F<br />

F<br />

Ft<br />

Suruburi prestranse – Sarcini variabile<br />

Reducere a diametrului corpului<br />

surubului pentru reducerea<br />

rigiditatiii surubului<br />

Fz<br />

F<br />

ψs ψf<br />

F 0′<br />

′<br />

Feb. 2011 -- T.Cicone 35/50<br />

F0<br />

F′ 0<br />

Surub elastic <strong>de</strong> la<br />

capul bielei<br />

Δl<br />

Surub elastic<br />

Piese stranse rigi<strong>de</strong><br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

Asamblari prestranse – Controlul prestrangerii<br />

• masurarea momentului total la cheie; (cheie dinamometrica)<br />

• masurarea intin<strong>de</strong>rii (alungirii) surubului<br />

• controlul rotatiei piulitei<br />

• utilizarea ili suruburilor b il li limitatoare i d <strong>de</strong> moment ( (Torque-Limited d Fasteners )<br />

• utilizarea saibelor indicatoare <strong>de</strong> sarcina (Load-Indicating Washers)<br />

Saiba indicatoare <strong>de</strong> sarcina<br />

inel<br />

exterior<br />

inel interior<br />

saibe plate<br />

Feb. 2011 -- T.Cicone 36/50<br />

Surub limitator<br />

<strong>de</strong> moment<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

18


Distrugerea corpului (in zona<br />

nefiletate sau in zona filetata)<br />

Concentratori <strong>de</strong> eforturi<br />

www.boltscience.com<br />

Moduri <strong>de</strong> distrugere<br />

Feb. 2011 -- T.Cicone 37/50<br />

Concentrat ori <strong>de</strong> efort<br />

15% 20%<br />

σreal<br />

σmediu<br />

Forfecarea spirelor<br />

Ruperea spirelor<br />

65%<br />

Distrugerea Uzarea flancurilor<br />

filetului Deformarea plastica a spirelor<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

Moduri <strong>de</strong> distrugere - Defomarea plastica surub <strong>de</strong> menghina<br />

Feb. 2011 -- T.Cicone 38/50<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

19


Calculul filetului – Solicitarea <strong>de</strong> contact<br />

NUMAI PENTRU SURUBURI <strong>DE</strong> MISCARE<br />

Ipoteza Forta din surub uniform distribuita pe fiecare spira P = F / z<br />

1. Solicitarea <strong>de</strong> contact<br />

Suprafata <strong>de</strong> contact –<br />

plana & inelara<br />

⎧30K80MPa<br />

fix<br />

σ ak = ⎨<br />

⎩5K30MPa<br />

mobil<br />

d d1(d 1(d3) 3)<br />

D1<br />

d2 (D2)<br />

d<br />

surub<br />

Feb. 2011 -- T.Cicone 39/50<br />

Surub<br />

F ⎛ d2<br />

− d1(<br />

3)<br />

⎞<br />

⎜<br />

⎟<br />

z ⎜<br />

⎟<br />

σ<br />

⎝ 2<br />

i =<br />

⎠<br />

< σ<br />

2<br />

ai<br />

πd1(<br />

3)<br />

g<br />

6<br />

D4<br />

<strong>2.</strong> Incovoiere Ipoteza: bara incastrata<br />

Piulita<br />

H 1<br />

P=F/z<br />

piulita<br />

a<br />

h/2<br />

h<br />

F / z F / z<br />

σ k =<br />

= < σ<br />

π 2 2 ( d − D ) π d2<br />

H1<br />

1<br />

4<br />

Calculul filetului - Incovoiere si forfecare<br />

NUMAI PENTRU SURUBURI <strong>DE</strong> MISCARE<br />

F ⎛ D4<br />

− D2<br />

⎞<br />

⎜ ⎟<br />

z<br />

σ<br />

⎝ 2 ⎠<br />

i =<br />

< σ<br />

2<br />

ai<br />

π D4g<br />

6<br />

3. Forfecare (Stripping)<br />

F / z<br />

τ f = < τ af Surub<br />

πd<br />

g<br />

1(<br />

3)<br />

Efortul combinat<br />

d d1(d 1(d3) 3)<br />

D1<br />

d2 (D2)<br />

d<br />

D4<br />

surubb<br />

Feb. 2011 -- T.Cicone 40/50<br />

H 1<br />

P=F/z<br />

piulita<br />

F / z<br />

τ f = < τ af<br />

π D g<br />

1<br />

a<br />

g<br />

σ = σ + 4τ<br />

< σ<br />

e<br />

2<br />

i<br />

2<br />

f<br />

h/2<br />

Piulita<br />

at<br />

ak<br />

πd2<br />

F/z<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

h<br />

πd2<br />

F/z<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

20


Repartitia sarcinii pe spirele in contact<br />

Repartitia uniforma a sarcinii pe<br />

spire – CRITICABILA<br />

P<br />

Feb. 2011 -- T.Cicone 41/50<br />

surub<br />

Linii <strong>de</strong> flux<br />

al fortei<br />

Calculul spirei filetului<br />

piulita<br />

20%<br />

NUMAI PENTRU SURUBURI <strong>DE</strong> FIXARE<br />

Piulita elastica<br />

piese<br />

stranse<br />

30%<br />

48%<br />

Numarul maxim <strong>de</strong><br />

spire in contact<br />

z=max 10<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

La suruburile <strong>de</strong> fixare se calculeaza doar eforturile din corp,<br />

toate celelalte elemente fiind standardizate<br />

Dimensiunile filetului, ale capului rezulta din<br />

conditia <strong>de</strong> egala rezistenta cu corpul surubului.<br />

Suruburi d<br />

Numarul maxim <strong>de</strong> spire<br />

in contact z=max 10<br />

Piulita si capul surubului<br />

Din conditia <strong>de</strong> egala rezistenta<br />

p ≈ ( 0. 1K0.<br />

2)d<br />

Feb. 2011 -- T.Cicone 42/50<br />

m<br />

Lungimea <strong>de</strong> insurubare =<br />

max (1…2) d<br />

m ≈ 0.<br />

8d<br />

D 1.<br />

7d<br />

0 ≈<br />

≈ m<br />

D0<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

21


Calculul corpului surubului - - incarcare statica<br />

A. Incarcare axiale<br />

Sectiunea critica – zona filetata cu diametrul interior<br />

1. Tractiune/Compresiune p<br />

<strong>2.</strong> Torsiune<br />

Efort combinat<br />

F<br />

σ t,<br />

c = =<br />

π 2<br />

d1(<br />

3)<br />

4<br />

M t1<br />

16 d<br />

τ =<br />

π<br />

16<br />

e<br />

3<br />

1 ( 3 )<br />

( σ )<br />

at,<br />

c<br />

2 2<br />

σ = σ + 4τ<br />

< σ<br />

Feb. 2011 -- T.Cicone 43/50<br />

F<br />

Ft<br />

Fz<br />

F<br />

F′ 0<br />

F<br />

at<br />

15%<br />

σreal<br />

σmediu<br />

F<br />

d1<br />

d<br />

20%<br />

65%<br />

F<br />

M<br />

Mt<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

Calculul corpului surubului - - incarcare variabila<br />

F0<br />

ψs ψm<br />

Momentul <strong>de</strong> torsiune este CONSTANT !<br />

16<br />

τ m = ττ<br />

= 0<br />

π d<br />

v 0<br />

M t<br />

3<br />

1(<br />

3)<br />

c<br />

τ τ =<br />

τ c<br />

τ<br />

F 0′′<br />

Δl<br />

Feb. 2011 -- T.Cicone 44/50<br />

m<br />

c<br />

e<br />

=<br />

cσ<br />

cv<br />

c + c<br />

2<br />

σ<br />

Tractiune – ciclu pulsator<br />

Fmin = F0<br />

F max = F0<br />

+ Fz<br />

F Fz<br />

F Fz<br />

F m = F0<br />

+ F v =<br />

2<br />

2<br />

4Fm<br />

4Fv<br />

σ m = σ 2<br />

v = 2<br />

π d1(<br />

3)<br />

π d1(<br />

3)<br />

2<br />

v<br />

c<br />

σ<br />

1<br />

=<br />

Kβσ<br />

σ v σ m +<br />

εγ σ σ<br />

−1<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

c<br />

22


Dimensionarea suruburilor<br />

A. Incarcare statica Momentul total M tot necunsocut - estimat prin γ<br />

d<br />

1(3)<br />

44γ<br />

γ F<br />

><br />

πσ<br />

γ = 1 . 2÷<br />

1.<br />

5 Valoare uzuala γ=1.3<br />

at,<br />

c<br />

B. Incarcare variabila (dinamica)<br />

=<br />

⎛ π d<br />

⎜<br />

⎝ 4<br />

⎞<br />

⎟<br />

⎠<br />

( ) ⎟ 0.<br />

6÷<br />

0.<br />

8 ⎜ 1 σ<br />

F0 Y<br />

Feb. 2011 -- T.Cicone 45/50<br />

T<br />

A) Montaj cu joc<br />

2<br />

Suruburi solicitate prin forte transversale<br />

F<br />

T<br />

F =<br />

μ<br />

Feb. 2011 -- T.Cicone 46/50<br />

T<br />

T<br />

l1<br />

l2<br />

1. Solicitare <strong>de</strong> contact<br />

<strong>2.</strong> Solicitare <strong>de</strong> forfecare<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

B) Montaj ajustat<br />

(surub <strong>de</strong> pasuire)<br />

d0<br />

σ k<br />

T<br />

σ k =<br />

d l<br />

0<br />

min<br />

4T<br />

τ f =<br />

π d<br />

2<br />

0<br />

T<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

23


Solutii <strong>de</strong> asigurare impotriva auto<strong>de</strong>sfacerii (i)<br />

Componente utilizate: piulite, saibe sau alte elemente<br />

Principii <strong>de</strong> realizare<br />

(A) Prin forta (frecare) La aceste solutii se exercita<br />

forte suplimentare in asamblare –piulitacontrapiulita,<br />

saibe elastice (Grower, etc), piulita<br />

cu insertie, etc.<br />

(B) Prin forma. La aceste solutii NU se exercita<br />

forte suplimentare. In schimb se folosesc<br />

diferite aranjamente ale formei pieselor pentru a<br />

impiedica rotirea - iulita crenelata + splint, etc.<br />

Saiba Grower<br />

Feb. 2011 -- T.Cicone 47/50<br />

Piulita crenelata<br />

Piulita eliptica sau poligonala Piulita sectionata A<strong>de</strong>ziv Spire <strong>de</strong>formate<br />

Piulita cu<br />

pastila<br />

<strong>de</strong> Nylon<br />

Castle nut<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

Solutii <strong>de</strong> asigurare impotriva auto<strong>de</strong>sfacerii (ii)<br />

(a)<br />

(b) (c) (d)<br />

(e) (f)<br />

Piulita & contra piulita Piulita elastica<br />

Piulita elastica<br />

(g) (h) (i) (j) (k)<br />

Feb. 2011 -- T.Cicone 48/50<br />

Piulita cu stift<br />

Piulita & saiba<br />

crenelata<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

24


Solutii folosite in reparatii<br />

Feb. 2011 -- T.Cicone 49/50<br />

Caracteristici functionale / Aplicatii<br />

CONCLUZII<br />

Mare amplificator <strong>de</strong> forta pentru fixare, etansare, strangere, ridicare <strong>de</strong> greutati, etc.<br />

Reglarea pozitiei relative (“surub <strong>de</strong> avans”) in dispozitive <strong>de</strong> pozitionare<br />

Transformarea miscarii (rotatie ⇔ translatie)<br />

Masurarea lungimilor<br />

Aspecte<br />

pozitive<br />

Forte <strong>de</strong> fixare mari produse cu efort <strong>de</strong> strangere mo<strong>de</strong>rat<br />

Dimensiuni <strong>de</strong> gabarit reduse<br />

O extrem <strong>de</strong> mare varietate constructiva, cu solutii pentru orice aplicatii<br />

Tehnologie simpla<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

Aspecte<br />

Concentrator <strong>de</strong> eforturi foarte mare in zona filetata (K σ ≈ 2<strong>2.</strong>..4) 4)<br />

Dificultati in controlul fortei <strong>de</strong> strangere din surub<br />

negative Necesitatea utilizarii unor elemente suplimentare <strong>de</strong> asigurare impotriva <strong>de</strong>sfacerii<br />

Randament redus<br />

Nu asigura centrarea pieselor stranse<br />

Nu asigura etansare<br />

Feb. 2011 -- T.Cicone 50/50<br />

OM-I <strong>Cap</strong> <strong>2.</strong> OM filetate<br />

25

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