UNTHREADED FASTENERS. Friction assemblies - torque transmitted by friction. Tightening bush. M t. maximum interference SHAFT GENERALITIES

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1 UNTHREADED ASTENERS B ricion assemblies - orque ransmie by fricion Exernal ighening Taer shaf Taer bore a f / m Tighening bush Exernal ighening Taer rings (Clam ring) wih inermeiary elemens Exernal ighening Elasic collar (colle clam) f n s s maximum inerference max D min Inerference (Shrink) fi Inernal ighening n f nov. 005 /3 Traian CICONE GENERAITIES. ricion coefficien, µ key facor Pruence! os aroriae value µ µ min µ max f c β. Oeraing coniions mus be aken ino accoun 3. µ s µ k 4. Aiional safey elemens: keys, ins 5. ow roughness; harene an olishe surfaces nov. 005 /3 Traian CICONE

2 TAPER nov /3 Traian CICONE TAPER Princile of oeraion Wege effec f / a m Keye aere bushing Simle ow sress concenraion Hub-o-shaf cenering Technology of aere hub Useful only on en ars of shafs nov /3 Traian CICONE

3 TAPER nov /3 Traian CICONE Assumions Uniform ressure isribuion TAPER - orces n / f / n / orces ac on m a f / m f n µ µ c m f / n / a n ( sin + µ cos ) ϕaan(µ) a n ( + ϕ) sin( ϕ) sin c + cosϕ sinϕ m nov /3 Traian CICONE

4 Dismouning TAPER - Cone angle ( ϕ ) c sin a sinϕ - Easy an quick ismouning is require > ϕ > 0 m n / - <ϕ is self-locking a m Bearing ressure n σ k π µπ m ( c m m ) f / σ ak Pa. Check he reloaing sysem (hreae assembly) nov /3 Traian CICONE TAPER RINGS Tighening bush (collar) D Princile of oeraion Wege effec Sanarie Cylinrical hub & shaf Higher loa caaciy Aiional ars Greaer overall imensions (es. raially) nov /3 Traian CICONE

5 TAPER RINGS 3D oels nov /3 Traian CICONE C TAPER RINGS - orces I n f a f N Assumions Uniform ressure isribuion Zero iniial clearance C0 Unique fricion coefficien Coulombian fricion force a µ n µ N cos N sin 0 N cos n µ N sin 0 sin + µ cos a n + µ cos µ sin an [ ( + ϕ) + µ ] ( an µ ) a n an n + ( + ϕ ) an + anϕ an + µ nov /3 Traian CICONE

6 TAPER RINGS - orces II C n a a n n µ an f a a f < a a D n nov. 005 /3 Traian CICONE TAPER RINGS - orces for airs n f µ a a an + µ f an + µ µ an an + µ n n n q a Tighening bush a n f µ an q an + µ D f f + f µ n ( q) c + ( + q + q + ) µ n K µ n q q a q q ( q ) nov. 005 /3 Traian CICONE

7 nov /3 Traian CICONE ( ) q q TAPER RINGS - Design soluions ( ).33 + q D 3.5 In racice ().5 () 5 q µ nov /3 Traian CICONE TAPER RINGS - Design soluions

8 TAPER RINGS - Design soluions Ring nu Disassembly hole nov /3 Traian CICONE TAPER RINGS - Comensaing force n C n Assumions Clearance is comensae by he angenial sreches (sloe rings) l [ π ( m + C) πm ] π C π Elasic eformaion (Hooke s law) l E A EAC 0 n an an ( + ϕ) an( + ϕ) ( + ϕ) m m Bearing ressure σ µ π c m k nov /3 Traian CICONE

9 CAPING (EASTIC) COARS f n s s n f nov /3 Traian CICONE EASTIC COAR Srengh calculaion n f n s s f A a / s n f Tighening force n µ c s n + a s µ c ( + a) Bearing ressure c k σ µ π nov /3 Traian CICONE

10 Press-fie connecion Shrink - fi Press - fi Wihou inermeiary elemens Inernal ighening INTERERENCE ITS inerference Assembly a D Wihou emeraure effecs - ress fiing Wih emeraure effecs Heaing he hub - shrink fi Cooling he shaf - exansion fi Hyraulically nov /3 Traian CICONE INTERERENCE ITS - Assembly nov /3 Traian CICONE

11 INTERERENCE ITS Plus High loa caaciy, even in he case of alernaing loas or shock Hocae axially he shaf an suors high axial forces Perfec cenering of he hub on shaf ow overall imensions an mass Relaively low cos inus Secial echnology for mouning an ismouning Accurae manufacuring (grining or laing) an someimes selecive mouning recommene for frequen ismouning nov. 005 /3 Traian CICONE INTERERENCE ITS - schemaic i * D e D nov. 005 /3 Traian CICONE

12 INTERERENCE ITS - minimum inerference Assumions Uniform ressure isribuion Thick-walle cyliners * Axial loa σ k ac µπ a Torque c k σ µ π Torque + Axial loa σ k3 c + µ π ac σ k min nov /3 Traian CICONE INTERERENCE ITS - maximum inerference Tangenial sress σ max e e D + D σ k D D σ k σ r σ σ r Raial sress σ r σ k D Shaf σ r σ i D e σ max Hub σ aximum shear sress heory τ max σ max σ r σy < aximum ermissible sress σ Y D σ k max σ Y c D σ k max <, c... e c 3 nov /3 Traian CICONE

13 INTERERENCE ITS - eformaion Deformaion (Inerference) K δ σ k E K + E amé coefficiens Correce eformaion + K δ cor ( i ) + ( D De ) ν K ( ) ( D D ) i δ + u + u R e ( R R ) u + u R. y y +ν [ ( ) ( )] 0 0 δ min σ k min K E K + E δ max σ k max K E K + E nov /3 Traian CICONE TOERANCES S < δ max cor max S max maximum inerference max D max D min D min S min minimum inerference δ cor min < S min nov /3 Traian CICONE

14 INTERERENCE ITS - Temeraure Assumions Only he hub is heae Clearance for assembly C a 0 Smax + C + + a c Cooling uring maniulaion c Heaing < 00 C on heaing lae < 50 C in oil > 50 C in oven nov /3 Traian CICONE INTERERENCE ITS - Design recommenaions Avoi he ress-fie connecions in blin holes (air comression insie he blank hole increases he sresses an he resisance o mouning). Aiional safey comonens are recommene o avoi amages ue o loosening. Use lubricans o easy he engagemen. Surface coaings are recommene o increase he resisance o wear by freing. aciliae ismouning. Avoi ouble cenering. aciliae he engagemen, roviing long chamfers or roune eges (igure) R nov /3 Traian CICONE

15 NEW, INOVATIVE, SOUTIONS (A) Elasic raial rings (A) asener wih aere rings (UNI-KEY) nov /3 Traian CICONE UNI-KEY nov /3 Traian CICONE

16 UNI-KEY Calculaion A A - A ax ax A r/ r/ r ax f ax f f N N r ( ϕ) cos N cos + f sin N cosϕ N sin [ ] ( ϕ) N sin cos N r f cosϕ f ax f µ r Assumions Uniform ressure isribuion Zero iniial clearance C0 Unique fricion coefficien Coulombian fricion force r ax an ( ϕ) µ an( ϕ) f nov /3 Traian CICONE OVERVIEW on -ON- CONNECTIONS ETHOD CRITERIA HIGH TORQUE CAPACITY ARGE AXIA OADS AXIAY COPACT AXIA OCATION PROVIDED EASY REPACING ATIGUE (CYCIC OADING) ACCURATE ANGUAR POSITION EASY POSITION ADJUSTING PIN GRUB SCREW TAPER (CAP) RING PRESS IT nov /3 Traian CICONE SHRINK IT SPINE KEY TAPER / BUSH

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