{"id":2407,"date":"2026-06-26T05:15:50","date_gmt":"2026-06-26T05:15:50","guid":{"rendered":"https:\/\/helicalcutgears.top\/?p=2407"},"modified":"2026-06-26T05:15:50","modified_gmt":"2026-06-26T05:15:50","slug":"helical-gear-helix-angle-selection-guide","status":"publish","type":"post","link":"https:\/\/helicalcutgears.top\/tr\/helical-gear-helix-angle-selection-guide\/","title":{"rendered":"Helisel Di\u015fli Helis A\u00e7\u0131s\u0131 Se\u00e7imi"},"content":{"rendered":"
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Helisel Di\u015fli \u00c7ark Helis A\u00e7\u0131s\u0131 Se\u00e7imi \u2014 \u03b2 = 8\u00b0 ile \u03b2 = 35\u00b0 Aras\u0131ndaki M\u00fchendislik Dengelemeleri<\/h1>\n

Helis a\u00e7\u0131s\u0131 \u03b2, bir yap\u0131y\u0131 di\u011ferlerinden ay\u0131ran en \u00f6nemli tasar\u0131m de\u011fi\u015fkenidir. helisel di\u015fli<\/strong> D\u00fcz di\u015fli \u00e7arktan \u2014 ve \u03b2 se\u00e7imi, di\u015flinin temas oran\u0131n\u0131, g\u00fcr\u00fclt\u00fc seviyesini, eksenel itme y\u00fck\u00fcn\u00fc, verimlili\u011fini ve yatak se\u00e7imini belirler. Evrensel olarak do\u011fru bir helis a\u00e7\u0131s\u0131 yoktur: bir bask\u0131 makinesi i\u00e7in do\u011fru \u03b2 de\u011feri helisel di\u015fli<\/strong> (Maksimum d\u00fczg\u00fcnl\u00fck, \u03b2 = 25\u00b0) bir robot bilek di\u015flisi i\u00e7in (minimum eksenel itme, \u03b2 = 12\u00b0) yanl\u0131\u015ft\u0131r ve \u00e7ift helisel deniz di\u015flisinden (kesit ba\u015f\u0131na maksimum helis, \u03b2 = 35\u00b0) tamamen farkl\u0131d\u0131r. Bu k\u0131lavuz, her uygulama i\u00e7in \u03b2'y\u0131 do\u011fru \u015fekilde se\u00e7mek i\u00e7in form\u00fcl tabanl\u0131 bir \u00e7er\u00e7eve sunmaktad\u0131r.<\/p>\n

Helis A\u00e7\u0131s\u0131 \u00d6nerisi Al\u0131n \u2192<\/a><\/p>\n<\/div>\n<\/div>\n

Helis A\u00e7\u0131s\u0131n\u0131n D\u00f6rt Etkisi \u2014 \u03b2 Artt\u0131k\u00e7a Neler De\u011fi\u015fir?<\/h2>\n

Her karar hakk\u0131nda helisel di\u015fli<\/strong> Helis a\u00e7\u0131s\u0131, birbirini dengeleyen d\u00f6rt e\u015f zamanl\u0131 etkiyi i\u00e7erir. Do\u011fru \u03b2 se\u00e7imi i\u00e7in sadece g\u00fcr\u00fclt\u00fc avantaj\u0131n\u0131 de\u011fil, bu d\u00f6rt etkinin tamam\u0131n\u0131 anlamak gereklidir:<\/p>\n

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\u2191 \u00d6rt\u00fc\u015fme Temas Oran\u0131 \u03b5_\u03b2<\/p>\n

Daha y\u00fcksek \u03b2 \u2192 daha fazla e\u015f zamanl\u0131 di\u015f temas \u00e7ifti \u2192 daha d\u00fczg\u00fcn kuvvet iletimi \u2192 daha d\u00fc\u015f\u00fck iletim hatas\u0131 \u2192 daha az g\u00fcr\u00fclt\u00fc ve titre\u015fim. M\u00fchendislerin hassasiyet ve sessizlik i\u00e7in daha y\u00fcksek helis a\u00e7\u0131lar\u0131n\u0131 tercih etmelerinin ba\u015fl\u0131ca nedeni budur. helisel di\u015fli<\/strong> uygulamalar.<\/p>\n<\/div>\n

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\u2191 Eksenel \u0130tme Kuvveti F_a<\/p>\n

Daha y\u00fcksek \u03b2 \u2192 ad\u0131m dairesinde daha b\u00fcy\u00fck eksenel kuvvet bile\u015feni \u2192 daha zorlu \u015faft itme yataklar\u0131 \u2192 a\u015f\u0131r\u0131 durumlarda, eksenel kuvveti tamamen ortadan kald\u0131rmak i\u00e7in \u00e7ift helisel konfig\u00fcrasyon gereklidir. Bu, tek helisel yap\u0131larda y\u00fcksek helis a\u00e7\u0131lar\u0131n\u0131n ba\u015fl\u0131ca dezavantaj\u0131d\u0131r. helisel di\u015fli<\/strong> s\u00fcr\u00fcc\u00fcler.<\/p>\n<\/div>\n

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\u2191 Dinamik Fakt\u00f6r K_V \u0130yile\u015ftirmesi<\/p>\n

Daha y\u00fcksek \u03b2, \u03b5_\u03b2'yi art\u0131r\u0131r; bu da a\u011f frekans\u0131ndaki y\u00fck genli\u011fi de\u011fi\u015fimini azalt\u0131r ve dinamik fakt\u00f6r K_V i\u00e7in uyar\u0131c\u0131 kaynak olu\u015fturur. ISO 6336-1 Metod B'ye g\u00f6re K_V de\u011ferleri daha d\u00fc\u015f\u00fckt\u00fcr. helisel di\u015fliler<\/strong> Ayn\u0131 hat h\u0131z\u0131 i\u00e7in daha y\u00fcksek \u03b5_\u03b2 de\u011feriyle, ayn\u0131 nominal g\u00fc\u00e7 i\u00e7in daha kompakt di\u015fli boyutland\u0131rmas\u0131na olanak tan\u0131r.<\/p>\n<\/div>\n

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\u2193 Verimlilik (Marjinal)<\/p>\n

Daha y\u00fcksek \u03b2 de\u011ferleri, temas b\u00f6lgesinde k\u00fc\u00e7\u00fck bir eksenel kayma h\u0131z\u0131 bile\u015feni olu\u015fturarak a\u011f s\u00fcrt\u00fcnme katsay\u0131s\u0131n\u0131 hafif\u00e7e art\u0131r\u0131r. \u03b2 = 0\u201325\u00b0 i\u00e7in verimlilik fark\u0131 0,2%'nin alt\u0131ndad\u0131r - ihmal edilebilir. \u03b2 = 25\u201335\u00b0 i\u00e7in yakla\u015f\u0131k 0,2\u20130,5% azalma g\u00f6r\u00fcl\u00fcr. helisel di\u015fli<\/strong> A\u011f verimlili\u011fi \u2014 g\u00fcr\u00fclt\u00fc ve K_V avantajlar\u0131na k\u0131yasla ger\u00e7ek ama k\u00fc\u00e7\u00fck bir dezavantaj.<\/p>\n<\/div>\n<\/div>\n

\u00d6rt\u00fc\u015fme Temas Oran\u0131 \u03b5_\u03b2 \u2014 Form\u00fcl ve Minimum Y\u00fczey Geni\u015fli\u011fi<\/h2>\n

Bir a'n\u0131n \u00f6rt\u00fc\u015fme temas oran\u0131 \u03b5_\u03b2 helisel di\u015fli<\/strong> \u00c7ift \u2014 enine temas oran\u0131n\u0131n \u00f6tesinde e\u015f zamanl\u0131 temasta bulunan ek di\u015f geni\u015fli\u011fi \"dilimlerinin\" say\u0131s\u0131 \u2014 helis a\u00e7\u0131s\u0131 se\u00e7imiyle belirlenen kritik parametredir:<\/p>\n

\u03b5_\u03b2 = b \u00d7 sin \u03b2 \/ (\u03c0 \u00d7 M_n)
\nburada: b = y\u00fcz geni\u015fli\u011fi [mm]
\n\u03b2 = sarmal a\u00e7\u0131s\u0131 [derece]
\nM_n = normal mod\u00fcl [mm]<\/p>\n

\u03b5_\u03b2 \u2265 1,0 i\u00e7in minimum y\u00fcz geni\u015fli\u011fi (s\u00fcrekli helisel di\u015fli di\u015f \u00f6rt\u00fc\u015fmesi):
\nb_min = \u03c0 \u00d7 M_n \/ sin \u03b2<\/p>\n

M_n = 5 olan \u00f6rnekler:
\n\u03b2 = 10\u00b0: b_min = \u03c0 \u00d7 5 \/ sin10\u00b0 = 15,71 \/ 0,174 = 90,4 mm
\n\u03b2 = 15\u00b0: b_min = 15,71 \/ 0,259 = 60,7 mm
\n\u03b2 = 20\u00b0: b_min = 15,71 \/ 0,342 = 45,9 mm
\n\u03b2 = 25\u00b0: b_min = 15,71 \/ 0,423 = 37,2 mm
\n\u03b2 = 30\u00b0: b_min = 15,71 \/ 0,500 = 31,4 mm<\/p>\n

\u0130ki pratik g\u00f6zlem: (1) Helisel di\u015fliler<\/strong> \u03b5_\u03b2 < 1.0 ile hala d\u00fcz di\u015fliler (\u03b5_\u03b2 = 0) g\u00fcr\u00fclt\u00fc ve y\u00fck payla\u015f\u0131m\u0131nda \u00fcst\u00fcn performans g\u00f6sterir, ancak tek di\u015fli temastan \u00e7ok di\u015fli temasa ge\u00e7i\u015f tamamen s\u00fcrekli de\u011fildir - her ad\u0131mda hala k\u0131sa bir tek di\u015fli temas an\u0131 vard\u0131r. (2) Hedef \u03b5_\u03b2 \u2265 2.0 (tam \u00e7ift \u00f6rt\u00fc\u015fme, d\u00fc\u015f\u00fck g\u00fcr\u00fclt\u00fcl\u00fc hassas uygulamalar i\u00e7in standart) i\u00e7in gerekli y\u00fcz geni\u015fli\u011fi veya helis a\u00e7\u0131s\u0131 \u00e7ok daha b\u00fcy\u00fckt\u00fcr - M5'te, \u03b2 = 20\u00b0, \u03b5_\u03b2 = 2.0 elde etmek i\u00e7in b = 92 mm gereklidir.<\/p>\n

Eksenel \u0130tme Kuvveti F_a \u2014 Hesaplama ve Y\u00f6n Belirleme Etkileri<\/h2>\n

Bir taraf\u0131ndan olu\u015fturulan eksenel itme kuvveti helisel di\u015fli<\/strong> A\u011f yap\u0131s\u0131, te\u011fetsel kuvvete ve helis a\u00e7\u0131s\u0131n\u0131n tanjant\u0131na do\u011frudan orant\u0131l\u0131d\u0131r:<\/p>\n

F_a = F_t \u00d7 tan \u03b2
\nF_t = 2 \u00d7 T \/ d [e\u011fim \u00e7emberindeki te\u011fetsel kuvvet; T N\u00b7m cinsinden, d m cinsinden]<\/p>\n

1500 RPM'de 75 kW'l\u0131k bir tahrik i\u00e7in, M5, z=24, \u03b2=20\u00b0:
\nT = 9550 \u00d7 75 \/ 1500 = 477 N\u00b7m
\nd = 5 \u00d7 24 \/ cos20\u00b0 = 127,8 mm = 0,1278 m
\nF_t = 2 \u00d7 477 \/ 0.1278 = 7,465 N<\/p>\n

Farkl\u0131 helis a\u00e7\u0131lar\u0131ndaki eksenel itme kuvveti:
\n\u03b2 = 10\u00b0: F_a = 7,465 \u00d7 tan10\u00b0 = 7,465 \u00d7 0,176 = 1,314 N
\n\u03b2 = 15\u00b0: F_a = 7,465 \u00d7 0,268 = 2,001 N
\n\u03b2 = 20\u00b0: F_a = 7,465 \u00d7 0,364 = 2,717 N
\n\u03b2 = 25\u00b0: F_a = 7,465 \u00d7 0,466 = 3,479 N
\n\u03b2 = 30\u00b0: F_a = 7,465 \u00d7 0,577 = 4,308 N<\/p>\n

Eksenel yatak se\u00e7iminin sonucu:<\/strong> Yukar\u0131daki \u00f6rnekte, \u03b2'y\u0131 15\u00b0'den 25\u00b0'ye \u00e7\u0131karmak, eksenel itmeyi 2.001 N'den 3.479 N'ye \u00e7\u0131kar\u0131r; bu da 74%'lik bir art\u0131\u015f anlam\u0131na gelir. \u015eaft yata\u011f\u0131, bu art\u0131\u015f\u0131 radyal di\u015fli kuvvetiyle birlikte absorbe etmelidir. Hafif hizmet tipi tahrik sistemlerinde, standart derin oluklu bilyal\u0131 rulman bunu rahatl\u0131kla kar\u015f\u0131lar. A\u011f\u0131r hizmet tipi tahrik sistemlerinde (y\u00fcksek Ft), yata\u011f\u0131n eksenel y\u00fck kapasitesi s\u0131n\u0131rlay\u0131c\u0131 fakt\u00f6r haline gelir ve genellikle \u03b2 = 20\u00b0 ve \u00fczeri a\u00e7\u0131larda a\u00e7\u0131l\u0131 temasl\u0131 veya konik makaral\u0131 rulmanlar veya \u03b2 = 30\u00b0'nin \u00fczerinde \u00e7ift helisel konfig\u00fcrasyon gerektirir.<\/div>\n

Sarmal A\u00e7\u0131s\u0131n\u0131n G\u00fcr\u00fclt\u00fc \u00dczerindeki Etkisi \u2014 Nicel \u0130li\u015fki<\/h2>\n

Art\u0131\u015ftan kaynaklanan g\u00fcr\u00fclt\u00fc azalmas\u0131 helisel di\u015fli<\/strong> Helis a\u00e7\u0131s\u0131 iki mekanizmadan kaynaklan\u0131r: daha y\u00fcksek \u03b5_\u03b2, y\u00fck\u00fc ayn\u0131 anda daha fazla di\u015f temas \u00e7izgisine da\u011f\u0131t\u0131r (di\u015f \u00e7ifti ba\u015f\u0131na tepe temas kuvvetini azalt\u0131r) ve daha y\u00fcksek \u03b5_\u03b2, di\u015fli ge\u00e7i\u015f frekans\u0131nda sertlik de\u011fi\u015fiminin genli\u011fini azalt\u0131r (birincil g\u00fcr\u00fclt\u00fc uyar\u0131m\u0131). Ayn\u0131 hat h\u0131z\u0131 ve iletilen torkta di\u015fli ge\u00e7i\u015f g\u00fcr\u00fclt\u00fc seviyesi \u00fczerindeki birle\u015fik etki:<\/p>\n

\n\n\n\n\n\n\n\n\n\n
Helis A\u00e7\u0131s\u0131 \u03b2<\/th>\n\u03b5_\u03b2 (M5, b=60mm)<\/th>\nG\u00fcr\u00fclt\u00fc ve Parazit (\u03b5_\u03b2=0)<\/th>\nG\u00fcr\u00fclt\u00fcye kar\u015f\u0131 \u03b2=15\u00b0<\/th>\nTipik End\u00fcstriyel Uygulama<\/th>\n<\/tr>\n<\/thead>\n
Mahmuz (\u03b2 = 0\u00b0)<\/td>\n0<\/td>\n0 dB(A) referans\u0131<\/td>\n+8 ila +12 dB(A)<\/td>\nYava\u015f sanayi, tar\u0131m (maliyet odakl\u0131)<\/td>\n<\/tr>\n
\u03b2 = 8\u00b0\u201312\u00b0<\/td>\n0,26\u20130,42<\/td>\n\u22123 ila \u22125 dB(A)<\/td>\n+4 ila +7 dB(A)<\/td>\nServo ve hassas (minimum eksenel itme \u00f6nceli\u011fi)<\/td>\n<\/tr>\n
\u03b2 = 15\u00b0\u201318\u00b0<\/td>\n0,65\u20130,95<\/td>\n\u22125 ila \u22128 dB(A)<\/td>\nReferans<\/td>\nStandart end\u00fcstriyel: konvey\u00f6rler, mikserler, pompalar<\/td>\n<\/tr>\n
\u03b2 = 20\u00b0\u201325\u00b0<\/td>\n1.08\u20131.62<\/td>\n\u22128 ila \u221212 dB(A)<\/td>\n\u22123 ila \u22125 dB(A)<\/td>\nEV red\u00fckt\u00f6rleri, otomotiv, bask\u0131 makineleri, kompres\u00f6rler<\/td>\n<\/tr>\n
\u03b2 = 28\u00b0\u201335\u00b0 (\u00e7ift sarmal)<\/td>\n2.3\u20133.6<\/td>\n\u221214 ila \u221218 dB(A)<\/td>\n\u22127 ila \u221210 dB(A)<\/td>\nDeniz tahrik sistemleri, denizcilik, d\u00fc\u015f\u00fck g\u00fcr\u00fclt\u00fcl\u00fc \u015fanz\u0131manlar<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

\u03b2'n\u0131n \u00d6\u011f\u00fctme \u00dczerindeki Etkisi \u2014 Pratik \u00dcst S\u0131n\u0131r<\/h2>\n

H\u00d6FLER CNC ta\u015flama makineleri \u2014 hassas i\u015fleme i\u00e7in standart makine helisel di\u015fli<\/strong> Di\u015f ta\u015flama i\u015fleminde, hareketin olu\u015fturulmas\u0131 i\u00e7in mekanik bir maksimum helis a\u00e7\u0131s\u0131 (\u03b2) bulunur. \u00c7o\u011fu model yakla\u015f\u0131k 30-35\u00b0'ye kadar \u03b2 a\u00e7\u0131s\u0131n\u0131 destekler. \u03b2 = 30\u00b0'nin \u00fczerinde, ta\u015flama tekerle\u011finin hareket olu\u015fturmas\u0131, di\u015fe \u00e7ok e\u011fik bir yakla\u015f\u0131m gerektirir ki bu da:<\/p>\n