GENERALITIES TAPER SHAFT UNTHREADED FASTENERS. Friction assemblies - torque transmitted by friction. Taper rings. Taper shaft Taper bore
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1 B Exernal ighening Taer shaf Taer bore UNTHREAE ASTENERS ricion assemblies - orque ransmie by fricion f / m M Tighening bush Exernal ighening Taer rings (Clam ring) wih inermeiary elemens Exernal ighening Elasic collar (colle clam) f M maximum inerference max min Inerference (Shrink) fi Inernal ighening f nov. 005 /3 Traian CICONE GENERAITIES. ricion coefficien, µ key facor Pruence! Mos aroriae value µ µ min µ max M f M c β M. 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 TAPER nov /3 Traian CICONE
2 TAPER Princile of oeraion Wege effec f / m 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 TAPER nov /3 Traian CICONE Assumions Uniform ressure isribuion TAPER - orces n/ f/ / orces ac on m M a f / m M f M n µ µ c m f/ n/ a ( sin + µ cos ) ϕaan(µ) ( + ϕ) M sin( ϕ) sin c + n cosϕ sinϕ m nov /3 Traian CICONE
3 ismouning TAPER - Cone angle ( ϕ ) sinϕ M c sin - Easy an quick ismouning is require > ϕ > 0 - <ϕ is self-locking Bearing ressure n M c σ k ( ) m π m µπ m σ ak MPa. m / a Check he reloaing sysem (hreae assembly) m f / M nov /3 Traian CICONE TAPER RINGS Tighening bush (collar) Princile of oeraion Wege effec Sanarize Cylinrical hub & shaf Higher loa caaciy Aiional ars Greaer overall imensions (es. raially) nov /3 Traian CICONE TAPER RINGS 3 Moels nov /3 Traian CICONE
4 C TAPER RINGS - orces I f a N f Assumions Uniform ressure isribuion Zero iniial clearance C0 Unique fricion coefficien Coulombian fricion force 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 ) n an n + ( + ϕ) an + anϕ an + µ nov /3 Traian CICONE TAPER RINGS - orces II C a n n µ an f a a f < a a nov. 005 /3 Traian CICONE TAPER RINGS - orces for z airs M f n µ M f a an + µ µ an n n nq an + µ an + µ Tighening bush M f n µ an q an + µ M c M f M f + M f µ n + ( q) ( + q + q + ) M µ n K µ z q n q M q q z ( q ) nov. 005 /3 Traian CICONE
5 TAPER RINGS - esign soluions M z z z ( + q) M.33M M z 3 z z ( + q + q ) M.43M In racice M (z).5 M (z) 4 µ 0. q 0. 5 M.5M z 3M z nov /3 Traian CICONE TAPER RINGS - esign soluions nov /3 Traian CICONE TAPER RINGS - esign soluions Ring nu isassembly hole nov /3 Traian CICONE
6 TAPER RINGS - Comensaing force C n Assumions Clearance is comensae by he angenial sreches (sloe rings) l [ π ( m + C) πm] π C π m Elasic eformaion (Hooke s law) l E A EAC 0 n an( + ϕ) an( + ϕ) an( + ϕ) M c Bearing ressure m σ k µ π m nov /3 Traian CICONE CAMPING (EASTIC) COARS f M f nov /3 Traian CICONE EASTIC COAR Srengh calculaion f M f A a / f Tighening force n M µ c s n + a s M µ c ( + a) Bearing ressure M c k σ µ π nov /3 Traian CICONE
7 INTERERENCE ITS Press-fie connecion Shrink - fi Press - fi inerference Wihou inermeiary elemens Inernal ighening Assembly a 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 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 Minus Secial echnology for mouning an ismouning Accurae manufacuring (grining or laing) an someimes selecive mouning recommene for frequen ismouning nov. 005 /3 Traian CICONE
8 INTERERENCE ITS - schemaic i * e nov. 005 /3 Traian CICONE INTERERENCE ITS - minimum inerference Assumions Uniform ressure isribuion Thick-walle cyliners * Axial loa ac σ k µπ M Torque σ µ π M c k Torque + Axial loa σ k3 M c + µ π ac σ k min nov /3 Traian CICONE INTERERENCE ITS - maximum inerference Tangenial sress σ max e e + σ k σk σr σ σr Raial sress σ r σ k Shaf σr σ i e σ max Hub σ Maximum shear sress heory σ max σ r σy τ max < Maximum ermissible sress σ Y σ k max σ Y c σ k max <, e c c... 3 nov /3 Traian CICONE
9 INTERERENCE ITS - eformaion eformaion (Inerference) K K δ σ k + E E amé coefficiens Correce eformaion + K δ cor ( i ) + ( e ) ν K +ν ( ) ( ) i δ + u + u R R e ( R R ) u + u. y y [ ( ) ( )] 0 0 δ min σ k min K K + E E δ max σ k max K K + E E nov /3 Traian CICONE TOERANCES S < δ max cor max Smax maximum inerference max max min min Smin minimum inerference δ cor min < S min nov /3 Traian CICONE INTERERENCE ITS - Temeraure Assumions Only he hub is heae Clearance for assembly C a 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
10 INTERERENCE ITS - esign 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. ciliae ismouning. Avoi ouble cenering. ciliae he engagemen, roviing long chamfers or roune eges (igure) R nov /3 Traian CICONE NEW, INOVATIVE, SOUTIONS (A) Elasic raial rings (A) sener wih aere rings (UNI-KEY) nov /3 Traian CICONE UNI-KEY nov /3 Traian CICONE
11 UNI-KEY Calculaion A A - A x x A r/ r/ r f f x f N N N r cos( ϕ) x N cos + f sin N cosϕ sin [ ] ( ϕ) N sin f cos r N cosϕ f x M f µ r Assumions Uniform ressure isribuion Zero iniial clearance C0 Unique fricion coefficien Coulombian fricion force M r f x an( ϕ) µ an( ϕ) nov /3 Traian CICONE OVERVIEW on -ON- CONNECTIONS METHO CRITERIA HIGH TORQUE CAPACITY ARGE AXIA OAS AXIAY COMPACT AXIA OCATION PROVIE EASY REPACING ATIGUE (CYCIC OAING) ACCURATE ANGUAR POSITION EASY POSITION AJUSTING PIN GRUB SCREW TAPER (CAMP) RING PRESS IT nov /3 Traian CICONE SHRINK IT SPINE KEY TAPER / BUSH
UNTHREADED FASTENERS. Friction assemblies - torque transmitted by friction. Tightening bush. M t. maximum interference SHAFT GENERALITIES
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
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