{"id":2357,"date":"2026-06-25T03:56:22","date_gmt":"2026-06-25T03:56:22","guid":{"rendered":"https:\/\/helicalcutgears.top\/?p=2357"},"modified":"2026-06-25T03:56:22","modified_gmt":"2026-06-25T03:56:22","slug":"helical-gear-iso-6336-strength-calculation","status":"publish","type":"post","link":"https:\/\/helicalcutgears.top\/cs\/helical-gear-iso-6336-strength-calculation\/","title":{"rendered":"V\u00fdpo\u010det pevnosti \u0161ikm\u00fdch ozuben\u00fdch kol dle normy ISO 6336 \u2013 Vysv\u011btlen\u00ed hodnocen\u00ed kontaktn\u00ed \u00fanavy a \u00fanavy v ohybu"},"content":{"rendered":"
\n
\n
<\/div>\n
\n

V\u00fdpo\u010det pevnosti \u0161ikm\u00fdch ozuben\u00fdch kol dle normy ISO 6336 \u2013 Vysv\u011btlen\u00ed hodnocen\u00ed kontaktn\u00ed \u00fanavy a \u00fanavy v ohybu<\/h1>\n

Ka\u017ed\u00fd spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> Pohon mus\u00ed proj\u00edt dv\u011bma nez\u00e1visl\u00fdmi kontrolami \u00fanavy: odolnost\u00ed proti bodov\u00e9 korozi (kontaktn\u00ed \u00fanava, \u03c3_H) a pevnost\u00ed v ohybu paty zubu (\u03c3_F). Norma ISO 6336 poskytuje celosv\u011btov\u011b uzn\u00e1van\u00fd v\u00fdpo\u010detn\u00ed r\u00e1mec pro ob\u011b kontroly. Pochopen\u00ed struktury t\u011bchto dvou kontrol \u2013 co ka\u017ed\u00fd faktor p\u0159edstavuje, kter\u00e1 vlastnost materi\u00e1lu je omezuje a jak jsou nastaveny sou\u010dinitele bezpe\u010dnosti \u2013 je z\u00e1kladem pro spr\u00e1vn\u00e9 ur\u010den\u00ed spr\u00e1vn\u00e9 spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> pro jakoukoli danou aplikaci bez nadm\u011brn\u00e9ho nebo poddimenzov\u00e1n\u00ed.<\/p>\n

Vy\u017e\u00e1dejte si v\u00fdpo\u010det ISO 6336 pro va\u0161e za\u0159\u00edzen\u00ed \u2192<\/a><\/p>\n<\/div>\n<\/div>\n

Dv\u011b nez\u00e1visl\u00e9 meze \u00fanavy \u2013 pro\u010d je nutn\u00e9 kontrolovat ob\u011b<\/h2>\n

A spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> Dvojice se m\u016f\u017ee p\u0159i stejn\u00e9m provozn\u00edm zat\u00ed\u017een\u00ed selhat dv\u011bma zcela odli\u0161n\u00fdmi mechanismy a ob\u011b mus\u00ed b\u00fdt kontrolov\u00e1ny nez\u00e1visle, proto\u017ee se mezi nimi li\u0161\u00ed materi\u00e1lov\u00e9 vlastnosti, geometrick\u00e9 faktory a bezpe\u010dnostn\u00ed rezervy. \u00dasp\u011b\u0161n\u00e9 spln\u011bn\u00ed jedn\u00e9 kontroly neznamen\u00e1 \u00fasp\u011b\u0161n\u00e9 spln\u011bn\u00ed druh\u00e9:<\/p>\n

\n
\n

Kontrola 1 \u2013 Odolnost proti d\u016flkov\u00e9mu korozi (kontaktn\u00ed \u00fanava)<\/p>\n

Hertzovo kontaktn\u00ed nap\u011bt\u00ed \u03c3_H na boku zubu mus\u00ed z\u016fstat pod povolen\u00fdm kontaktn\u00edm nap\u011bt\u00edm materi\u00e1lu \u03c3_H lim. Koroze je mechanismus \u00fanavy povrchu \u2013 za\u010d\u00edn\u00e1 na nebo t\u011bsn\u011b pod povrchem boku zubu na rozte\u010dn\u00e9 linii, kde je vrstva EHL nejten\u010d\u00ed. Je progresivn\u00ed (varov\u00e1n\u00ed p\u0159ed katastrofick\u00fdm selh\u00e1n\u00edm) a je \u0159\u00edzena tvrdost\u00ed povrchu. Typick\u00fd minim\u00e1ln\u00ed sou\u010dinitel bezpe\u010dnosti S_H min = 1,0\u20131,2.<\/p>\n<\/div>\n

\n

Kontrola 2 \u2013 Pevnost v ohybu ko\u0159ene zubu<\/p>\n

Ohybov\u00e9 nap\u011bt\u00ed \u03c3_F v m\u00edst\u011b zaoblen\u00ed ko\u0159ene zubu mus\u00ed z\u016fstat pod povolenou hodnotou ohybov\u00e9ho nap\u011bt\u00ed materi\u00e1lu \u03c3_F lim. Lom ko\u0159ene zubu je mechanismus \u00fanavy v ohybu \u2013 za\u010d\u00edn\u00e1 v m\u00edst\u011b zaoblen\u00ed ko\u0159ene na stran\u011b tahu a bez varov\u00e1n\u00ed se \u0161\u00ed\u0159\u00ed do katastrofick\u00e9ho lomu zubu. Je ur\u010den hou\u017eevnatost\u00ed j\u00e1dra a geometri\u00ed ko\u0159ene. Typick\u00fd minim\u00e1ln\u00ed sou\u010dinitel bezpe\u010dnosti S_F min = 1,3\u20132,0 (vy\u0161\u0161\u00ed ne\u017e u d\u016flkov\u00e9 koroze, proto\u017ee poru\u0161en\u00ed je n\u00e1hl\u00e9).<\/p>\n<\/div>\n<\/div>\n

Vzorec pro kontaktn\u00ed nap\u011bt\u00ed dle ISO 6336 \u2013 V\u00fdpo\u010det odolnosti proti bodov\u00e9 korozi<\/h2>\n

Norma ISO 6336-2 vypo\u010d\u00edt\u00e1v\u00e1 jmenovit\u00e9 kontaktn\u00ed nap\u011bt\u00ed v bod\u011b rozte\u010de spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> \u03c3_H0 v bod\u011b stoup\u00e1n\u00ed a spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> p\u00e1r a pot\u00e9 aplikuje faktory vlivu zat\u00ed\u017een\u00ed k z\u00edsk\u00e1n\u00ed efektivn\u00edho kontaktn\u00edho nap\u011bt\u00ed \u03c3_H:<\/p>\n

\u03c3_H = Z_H \u00d7 Z_E \u00d7 Z_\u03b5 \u00d7 Z_\u03b2 \u00d7 \u221a(F_t\/(b \u00d7 d\u2081) \u00d7 (u+1)\/u) \u00d7 \u221a(K_A \u00d7 K_V \u00d7 K_H\u03b1 \u00d7 K_H\u03b2) [MPa]<\/p>\n

\n\n\n\n\n\n\n\n\n\n\n\n\n
Faktor<\/th>\nJm\u00e9no<\/th>\nTypick\u00e1 hodnota<\/th>\nFyzik\u00e1ln\u00ed v\u00fdznam<\/th>\n<\/tr>\n<\/thead>\n
Z_H<\/td>\nZ\u00f3nov\u00fd faktor<\/td>\n2,35 p\u0159i \u03b2=20\u00b0, \u03b1_n=20\u00b0<\/td>\nP\u0159ev\u00e1d\u00ed tangenci\u00e1ln\u00ed s\u00edlu na kontaktn\u00ed nap\u011bt\u00ed v spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> bod stoup\u00e1n\u00ed; m\u00edrn\u011b se zmen\u0161uje s \u00fahlem \u0161roubovice<\/td>\n<\/tr>\n
Z_E<\/td>\nFaktor elasticity<\/td>\n189,8 \u221aMPa (ocel\/ocel)<\/td>\nElastick\u00e9 vlastnosti materi\u00e1lu; pevn\u011b stanoveno na 189,8 pro jak\u00fdkoli p\u00e1r ozuben\u00fdch kol ocel na ocel<\/td>\n<\/tr>\n
Z_\u03b5<\/td>\nFaktor pom\u011bru kontakt\u016f<\/td>\n0,75\u20130,88 (ni\u017e\u0161\u00ed = lep\u0161\u00ed)<\/td>\n\u00da\u010dty pro sd\u00edlen\u00ed z\u00e1t\u011b\u017ee spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> z celkov\u00e9ho kontaktn\u00edho pom\u011bru; vy\u0161\u0161\u00ed \u03b5_\u03b3 sni\u017euje Z_\u03b5, \u010d\u00edm\u017e se sni\u017euje \u03c3_H \u2013 kvantifikov\u00e1na v\u00fdhoda \u0161ikm\u00e9ho ozuben\u00e9ho kola<\/td>\n<\/tr>\n
Z_\u03b2<\/td>\nFaktor \u00fahlu \u0161roubovice<\/td>\n\u221a(cos \u03b2): 0,97 p\u0159i \u03b2=20\u00b0<\/td>\nZohled\u0148uje naklon\u011bnou kontaktn\u00ed linii; m\u00edrn\u00fd p\u0159\u00ednos z \u00fahlu \u0161roubovice za hranic\u00ed Z_\u03b5<\/td>\n<\/tr>\n
F_t\/(b \u00d7 d\u2081)<\/td>\nJednotkov\u00e9 zat\u00ed\u017een\u00ed<\/td>\nN\/mm\u00b2<\/td>\nJmenovit\u00e9 Hertzovo zat\u00ed\u017een\u00ed \u2013 z\u00e1kladn\u00ed intenzita p\u0159ed koncentrac\u00ed nap\u011bt\u00ed<\/td>\n<\/tr>\n
ty<\/td>\nP\u0159evodov\u00fd pom\u011br<\/td>\n= z\u2082\/z\u2081<\/td>\nFaktor zak\u0159iven\u00ed: vy\u0161\u0161\u00ed u znamen\u00e1, \u017ee men\u0161\u00ed ozuben\u00e9 kolo (pastorek) m\u00e1 vy\u0161\u0161\u00ed kontaktn\u00ed nap\u011bt\u00ed ne\u017e v\u011bt\u0161\u00ed ozuben\u00e9 kolo<\/td>\n<\/tr>\n
K_A<\/td>\nAplika\u010dn\u00ed faktor<\/td>\n1,0\u20133,0<\/td>\nVn\u011bj\u0161\u00ed zm\u011bna zat\u00ed\u017een\u00ed (provozn\u00ed faktor); rovnom\u011brn\u011b vyn\u00e1sob\u00ed kontaktn\u00ed i ohybov\u00e9 nap\u011bt\u00ed<\/td>\n<\/tr>\n
K_H\u03b2<\/td>\nSou\u010dinitel rozlo\u017een\u00ed \u010deln\u00edho zat\u00ed\u017een\u00ed (kontakt)<\/td>\n1,05\u20131,8<\/td>\nNerovnom\u011brn\u00e9 zat\u00ed\u017een\u00ed nap\u0159\u00ed\u010d spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> \u0161\u00ed\u0159ka \u010deln\u00ed plochy; zohled\u0148uje pr\u016fhyb h\u0159\u00eddele a nesouosost. Sn\u00ed\u017eeno olovem.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Sou\u010dinitel bezpe\u010dnosti proti d\u016flkov\u00fdm bod\u016fm pro spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> p\u00e1r (pastorek a kolo kontrolov\u00e1ny samostatn\u011b):<\/p>\n

S_H = \u03c3_H lim_eff \/ \u03c3_H \u2265 S_H_min (obvykle 1,00 pro v\u0161eobecn\u00e9 pr\u016fmyslov\u00e9 pou\u017eit\u00ed; 1,20 pro aplikace s nejistou histori\u00ed zat\u00ed\u017een\u00ed)<\/p>\n

Vzorec pro ohybov\u00e9 nap\u011bt\u00ed podle normy ISO 6336 \u2013 V\u00fdpo\u010det pevnosti ko\u0159ene zubu<\/h2>\n

\"Pr\u016f\u0159ez<\/p>\n

Pr\u016f\u0159ez zubu ozuben\u00e9ho kola se \u0161roubovic\u00ed \u2013 zaoblen\u00ed ko\u0159ene zubu je m\u00edstem s nejvy\u0161\u0161\u00edm ohybov\u00fdm nap\u011bt\u00edm v cel\u00e9m ozuben\u00e9m kole. Norma ISO 6336-3 vypo\u010d\u00edt\u00e1v\u00e1 jmenovit\u00e9 ohybov\u00e9 nap\u011bt\u00ed pro spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> \u03c3_F0 v tomto m\u00edst\u011b a aplikuje faktory vlivu zat\u00ed\u017een\u00ed K_A, K_V, K_F\u03b1 a K_F\u03b2 pro z\u00edsk\u00e1n\u00ed efektivn\u00edho nap\u011bt\u00ed pro porovn\u00e1n\u00ed s \u03c3_F lim<\/p>\n

\u03c3_F = (F_t \/ (b \u00d7 m_n)) \u00d7 Y_Fa \u00d7 Y_Sa \u00d7 Y_\u03b5 \u00d7 Y_\u03b2 \u00d7 K_A \u00d7 K_V \u00d7 K_F\u03b1 \u00d7 K_F\u03b2 [MPa]<\/p>\n

\n\n\n\n\n\n\n\n\n\n
Faktor<\/th>\nJm\u00e9no<\/th>\nTypick\u00e1 hodnota<\/th>\nFyzik\u00e1ln\u00ed v\u00fdznam<\/th>\n<\/tr>\n<\/thead>\n
Y_Fa<\/td>\nTvarov\u00fd faktor zubu<\/td>\n2,5\u20133,5 (kles\u00e1 se z)<\/td>\nRameno ohybov\u00e9ho momentu v spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> zaoblen\u00ed ko\u0159ene zubu vzhledem k rozte\u010di zub\u016f; z\u00e1vis\u00ed na po\u010dtu zub\u016f a posunu profilu<\/td>\n<\/tr>\n
Y_Sa<\/td>\nKorek\u010dn\u00ed faktor nap\u011bt\u00ed<\/td>\n1,55\u20131,80<\/td>\nKoncentrace nap\u011bt\u00ed v ko\u0159enov\u00e9m zaoblen\u00ed; zohled\u0148uje vrubov\u00fd efekt polom\u011bru zaoblen\u00ed. V\u011bt\u0161\u00ed zaoblen\u00ed \u2192 ni\u017e\u0161\u00ed Y_Sa \u2192 ni\u017e\u0161\u00ed \u03c3_F<\/td>\n<\/tr>\n
Y_\u03b5<\/td>\nSou\u010dinitel kontaktn\u00edho pom\u011bru (ohyb)<\/td>\n0,62\u20130,75<\/td>\nVliv sd\u00edlen\u00ed zat\u00ed\u017een\u00ed na ohyb; men\u0161\u00ed redukce ne\u017e Z_\u03b5 pro kontakt, proto\u017ee zat\u00ed\u017een\u00ed se st\u00e1le soust\u0159ed\u00ed na jednotliv\u00e9 zuby<\/td>\n<\/tr>\n
Y_\u03b2<\/td>\nFaktor \u00fahlu \u0161roubovice (ohyb)<\/td>\n1 \u2212 \u03b5\u03b2 \u00d7 \u03b2\/120 (p\u0159ibli\u017en\u011b)<\/td>\n\u0160roubovit\u00e1 kontaktn\u00ed linie roz\u0161i\u0159uje z\u00f3nu zat\u00ed\u017een\u00ed ko\u0159ene; m\u00edrn\u00fd p\u0159\u00ednos pro ohyb p\u0159i \u03b2=20\u201325\u00b0<\/td>\n<\/tr>\n
K_F\u03b2<\/td>\nSou\u010dinitel zat\u00ed\u017een\u00ed \u010dela (ohyb)<\/td>\n1,05\u20132,0<\/td>\nNerovnom\u011brn\u00e9 zat\u00ed\u017een\u00ed po \u0161\u00ed\u0159ce \u010deln\u00ed plochy; podobn\u00e9 jako K_H\u03b2, ale aplikovan\u00e9 na ohyb. Zat\u00ed\u017een\u00ed okraje z nesouososti p\u0159\u00edmo zvy\u0161uje \u03c3_F.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Sou\u010dinitel bezpe\u010dnosti pro ohyb spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong>:<\/p>\n

S_F = \u03c3_F lim_eff \/ \u03c3_F \u2265 S_F_min (obvykle 1,40\u20131,60 pro b\u011b\u017en\u00fd pr\u016fmysl; 2,00 pro bezpe\u010dnostn\u011b kritick\u00e9 aplikace)<\/p>\n

Pro\u010d je S_F_min vy\u0161\u0161\u00ed ne\u017e S_H_min:<\/strong> Koroze v oleji je detekovateln\u00e1 d\u0159\u00edve, ne\u017e se stane katastrof\u00e1ln\u00ed \u2013 monitorov\u00e1n\u00ed po\u010dtu \u010d\u00e1stic v oleji poskytuje varov\u00e1n\u00ed 200\u20131000 hodin p\u0159ed v\u00e1\u017en\u00fdm po\u0161kozen\u00edm v d\u016fsledku koroze. Zlomen\u00ed ko\u0159ene zubu ned\u00e1v\u00e1 \u017e\u00e1dn\u00e9 varov\u00e1n\u00ed a m\u016f\u017ee zp\u016fsobit sekund\u00e1rn\u00ed po\u0161kozen\u00ed sk\u0159\u00edn\u011b p\u0159evodovky a souvisej\u00edc\u00edch stroj\u016f b\u011bhem n\u011bkolika sekund. Vy\u0161\u0161\u00ed minim\u00e1ln\u00ed bezpe\u010dnostn\u00ed faktor pro ohyb (1,4\u20132,0 oproti 1,0\u20131,2 pro korozi v oleji) odr\u00e1\u017e\u00ed tento rozd\u00edl v n\u00e1sledc\u00edch a detekovatelnosti poruchy.<\/div>\n

P\u0159\u00edpustn\u00e1 nap\u011bt\u00ed materi\u00e1lu \u2014 \u03c3_H lim a \u03c3_F lim Referen\u010dn\u00ed<\/h2>\n

\"cementovan\u00e9<\/p>\n

Nauhli\u010den\u00e9 spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> \u2014 povrchov\u00e1 tvrdost HRC 58\u201362 dosa\u017een\u00e1 plynovou cementac\u00ed poskytuje \u03c3_H lim 1500\u20131800 MPa (kvalita materi\u00e1lu ISO 6336-5 MQ podle ME) \u2013 p\u0159ibli\u017en\u011b 3\u00d7 vy\u0161\u0161\u00ed ne\u017e u ozuben\u00e9ho kola s m\u011bkk\u00fdm bokem QT, co\u017e umo\u017e\u0148uje bu\u010f 3\u00d7 v\u011bt\u0161\u00ed p\u0159en\u00e1\u0161en\u00e9 zat\u00ed\u017een\u00ed, nebo p\u0159ibli\u017en\u011b 9\u00d7 del\u0161\u00ed \u017eivotnost p\u0159i stejn\u00e9m zat\u00ed\u017een\u00ed<\/p>\n

\n\n\n\n\n\n\n\n\n\n
Materi\u00e1ln\u00ed t\u0159\u00edda<\/th>\nTepeln\u00e9 zpracov\u00e1n\u00ed<\/th>\nTvrdost povrchu<\/th>\n\u03c3_H lim (MPa) ISO MQ<\/th>\n\u03c3_F limit (MPa) ISO MQ<\/th>\nKvalita ISO 6336-5<\/th>\n<\/tr>\n<\/thead>\n
45# (C45)<\/td>\nQT<\/td>\nHB 220\u2013280<\/td>\n490\u2013560<\/td>\n190\u2013225<\/td>\nML (minim\u00e1ln\u00ed)<\/td>\n<\/tr>\n
40Cr (41Cr4)<\/td>\nQT<\/td>\nHB 260\u2013320<\/td>\n530\u2013600<\/td>\n210\u2013240<\/td>\nStrojov\u00e9 u\u010den\u00ed<\/td>\n<\/tr>\n
42CrMo (42CrMo4)<\/td>\nInduk\u010dn\u00ed HRC 52<\/td>\nHRC 50\u201355<\/td>\n820\u2013950<\/td>\n340\u2013380<\/td>\nMQ<\/td>\n<\/tr>\n
20CrMnTi<\/td>\nNauhli\u010dov\u00e1n\u00ed + brou\u0161en\u00ed<\/td>\nHRC 58\u201362<\/td>\n1500\u20131650<\/td>\n430\u2013480<\/td>\nMQ do ME<\/td>\n<\/tr>\n
17CrNiMo6<\/td>\nNauhli\u010dov\u00e1n\u00ed + brou\u0161en\u00ed<\/td>\nHRC 58\u201362<\/td>\n1600\u20131800<\/td>\n450\u2013500<\/td>\nME (nejlep\u0161\u00ed)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

\u00darovn\u011b kvality materi\u00e1lu dle normy ISO 6336-5: ML = minim\u00e1ln\u00ed; MQ = st\u0159edn\u00ed kvalita (pr\u016fmyslov\u00fd standard); ME = vysok\u00e1 kvalita (automobilov\u00fd a n\u00e1mo\u0159n\u00ed pr\u016fmysl). Hodnoty \u03c3_H lim a \u03c3_F lim z tabulek 1 a 2 normy ISO 6336-5.<\/p>\n

P\u0159\u00edklad v\u00fdpo\u010dtu \u2013 \u0160roubov\u00e9 ozuben\u00e9 kolo M5, 75 kW p\u0159i 1500 ot.\/min<\/h2>\n
\n

Dan\u00e9: M5, z\u2081=24, z\u2082=72, \u03b2=20\u00b0, \u03b1_n=20\u00b0, b=80 mm, cementace 20CrMnTi, P=75 kW, n\u2081=1500 ot\/min, KA=1,25 (lehk\u00fd r\u00e1z)<\/p>\n

Krok 1 \u2013 Geometrie<\/p>\n

d\u2081 = 5 \u00d7 24 \/ cos20\u00b0 = 127,8 mm | d\u2082 = 5 \u00d7 72 \/ cos20\u00b0 = 383,4 mm
\nu = z\u2082\/z\u2081 = 3,0 | C = (127,8 + 383,4)\/2 = 255,6 mm<\/p>\n

Krok 2 \u2013 Tangenci\u00e1ln\u00ed s\u00edla a jednotkov\u00e9 zat\u00ed\u017een\u00ed<\/p>\n

T\u2081 = 9550 \u00d7 75 \/ 1500 = 477,5 N\u00b7m
\nF_t = 2T\u2081 \/ d\u2081 = 2 \u00d7 477 500 \/ 127,8 = 7 475 N
\nF_t\/b = 7 475 \/ 80 = 93,4 N\/mm \u2192 Jednotkov\u00e9 zat\u00ed\u017een\u00ed w_t = F_t \u00d7 (u+1)\/(b \u00d7 u) = 7 475 \u00d7 4\/(80 \u00d7 3) = 124,6 N\/mm<\/p>\n

Krok 3 \u2014 Kontaktn\u00ed nap\u011bt\u00ed \u03c3_H (zjednodu\u0161en\u011b, KV=1,05, KH\u03b2=1,15, KH\u03b1=1,0)<\/p>\n

\u03c3_H0 = Z_H \u00d7 Z_E \u00d7 Z_\u03b5 \u00d7 Z_\u03b2 \u00d7 \u221a (w_t)
\n= 2,35 \u00d7 189,8 \u00d7 0,79 \u00d7 0,970 \u00d7 \u221a(124,6)
\n= 2,35 \u00d7 189,8 \u00d7 0,79 \u00d7 0,970 \u00d7 11,16
\n= 380 MPa (nomin\u00e1ln\u00ed)<\/p>\n

\u03c3_H_eff = \u03c3_H0 \u00d7 \u221a (KA \u00d7 KV \u00d7 KH\u03b2 \u00d7 KH\u03b1)
\n= 380 \u00d7 \u221a(1,25 \u00d7 1,05 \u00d7 1,15 \u00d7 1,0)
\n= 380 \u00d7 \u221a1,509 = 380 \u00d7 1,229 = 467 MPa<\/p>\n

Krok 4 \u2013 Sou\u010dinitel bezpe\u010dnosti proti d\u016flkov\u00e1n\u00ed<\/p>\n

\u03c3_H lim (20CrMnTi nauhli\u010dovan\u00fd, ISO MQ) = 1500 MPa
\nS_H = 1500 \/ 467 = 3.21 \u2713<\/span> \u00a0(minimum 1,0 \u2013 bezpe\u010dn\u011b p\u0159ekro\u010deno)<\/p>\n

Krok 5 \u2014 Nap\u011bt\u00ed v ohybu \u03c3_F (YFa=2,65, YSa=1,60, Y\u03b5=0,68, Y\u03b2=0,88, KF\u03b2=1,18)<\/p>\n

\u03c3_F0 = (F_t \/ (b \u00d7 mn)) \u00d7 YFa \u00d7 YSa \u00d7 Y\u03b5 \u00d7 Y\u03b2
\n= (7475 \/ (80 \u00d7 5)) \u00d7 2,65 \u00d7 1,60 \u00d7 0,68 \u00d7 0,88
\n= 18,69 \u00d7 2,545 = 47,6 MPa<\/p>\n

\u03c3_F_eff = \u03c3_F0 \u00d7 KA \u00d7 KV \u00d7 KF\u03b1 \u00d7 KF\u03b2
\n= 47,6 \u00d7 1,25 \u00d7 1,05 \u00d7 1,0 \u00d7 1,18
\n= 47,6 \u00d7 1,550 = 73,7 MPa<\/p>\n

Krok 6 \u2013 Sou\u010dinitel bezpe\u010dnosti pro ohyb<\/p>\n

\u03c3_F lim (20CrMnTi nauhli\u010dovan\u00fd, ISO MQ) = 450 MPa
\nS_F = 450 \/ 73,7 = 6.11 \u2713<\/span> \u00a0(minim\u00e1ln\u011b 1,4 \u2013 pohodln\u011b p\u0159ekro\u010deno)<\/p>\n

Z\u00e1v\u011br:<\/strong> Oba testy pro\u0161ly s velk\u00fdmi rezervami \u2013 S_H = 3,21 a S_F = 6,11. \u0160roubovit\u00fd ozuben\u00fd p\u00e1r je pro tento stav zat\u00ed\u017een\u00ed s cementovan\u00fdm materi\u00e1lem v\u00fdrazn\u011b nadhodnocen. Pro optimalizaci n\u00e1klad\u016f by konstrukt\u00e9r mohl bu\u010f: (1) sn\u00ed\u017eit na 40Cr QT (m\u011bkk\u00fd bok) p\u0159i S_H \u2248 1,10 \u2013 st\u00e1le p\u0159ijateln\u00e9, ale se sn\u00ed\u017eenou rezervou \u017eivotnosti; nebo (2) sn\u00ed\u017eit modul na M4 s cementovan\u00fdm materi\u00e1lem a udr\u017eet S_H > 1,5.<\/div>\n<\/div>\n

Kter\u00e1 mez plat\u00ed \u2013 kontaktn\u00ed \u00fanava nebo \u00fanava z ohybu?<\/h2>\n

\"In\u017een\u00fdrsk\u00fd<\/p>\n

Korea Ever-Power prov\u00e1d\u00ed v\u00fdpo\u010dty kontaktn\u00ed \u00fanavy a \u00fanavy v ohybu dle ISO 6336 pro ka\u017edou zak\u00e1zku spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> po\u0159ad\u00ed \u2014 hl\u00e1\u0161en\u00ed S_H a S_F oproti stanoven\u00fdm minim\u00e1ln\u00edm sou\u010dinitel\u016fm bezpe\u010dnosti a ozna\u010den\u00ed jak\u00e9koli zm\u011bny geometrie, kter\u00e1 by mohla zlep\u0161it pevnostn\u00ed rezervu<\/p>\n

V praxi z\u00e1vis\u00ed rozhoduj\u00edc\u00ed limit \u2013 kter\u00e1 z t\u011bchto dvou kontrol m\u00e1 men\u0161\u00ed rezervu sou\u010dinitele bezpe\u010dnosti \u2013 prim\u00e1rn\u011b na velikosti a materi\u00e1lu ozuben\u00e9ho kola:<\/p>\n

\n
Kontaktn\u00ed \u00fanava (d\u016flkov\u00e1 koroze) ur\u010duje, kdy:<\/strong><\/p>\n

Vysok\u00fd p\u0159en\u00e1\u0161en\u00fd v\u00fdkon a rychlost (vysok\u00e1 F_t na jednotku \u0161\u00ed\u0159ky \u010deln\u00ed plochy); materi\u00e1l QT s m\u011bkk\u00fdm bokem, kde je \u03c3_H lim relativn\u011b n\u00edzk\u00e9; ozuben\u00e1 kola s velk\u00fdm modulem, kde je zub vysok\u00fd a pata zubu je velkorys\u00e1 (n\u00edzk\u00e9 Y_Fa \u00d7 Y_Sa). spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> Pr\u016fm\u011br rozte\u010de mus\u00ed b\u00fdt zv\u011bt\u0161en nebo materi\u00e1l mus\u00ed b\u00fdt vylep\u0161en tak, aby spl\u0148oval S_H_min.<\/p>\n<\/div>\n

\u00danava z ohybu je ur\u010duj\u00edc\u00ed, kdy\u017e:<\/strong><\/p>\n

Pastorek s n\u00edzk\u00fdm po\u010dtem zub\u016f (z\u2081 < 18 \u2192 vysok\u00fd Y_Fa); mal\u00fd modul a \u00fazk\u00e1 \u0161\u00ed\u0159ka \u010dela; reverzn\u00ed zat\u00ed\u017een\u00ed (Y_M = 0,7); r\u00e1zov\u00e9 zat\u00ed\u017een\u00ed \u0159\u00edd\u00edc\u00ed K_F\u03b2 vysok\u00fd; r\u00e1zov\u00e1 zat\u00ed\u017een\u00ed nejsou pln\u011b zachycena v KA. spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> Modul k\u0159ivky mus\u00ed b\u00fdt zv\u011bt\u0161en nebo polom\u011br zaoblen\u00ed ko\u0159ene mus\u00ed b\u00fdt zv\u011bt\u0161en, aby spl\u0148oval S_F_min.<\/p>\n<\/div>\n<\/div>\n

Korea Ever-Power \u2014 V\u00fdpo\u010det dle ISO 6336 s ka\u017edou pr\u016fmyslovou objedn\u00e1vkou<\/h2>\n

Spole\u010dnost Korea Ever-Power prov\u00e1d\u00ed kompletn\u00ed pevnostn\u00ed v\u00fdpo\u010det dle norem ISO 6336-2 a ISO 6336-3 pro ka\u017edou p\u0159esnost. ozuben\u00e9 kolo se spir\u00e1lov\u00fdm \u0159ezem<\/strong> pr\u016fmyslov\u00e1 objedn\u00e1vka \u2013 vykazov\u00e1n\u00ed S_H a S_F pro pastorek i ozuben\u00e9 kolo, p\u0159i\u010dem\u017e v\u0161echny K-faktory jsou explicitn\u011b uvedeny. Pro z\u00e1kazn\u00edky, kte\u0159\u00ed uv\u00e1d\u011bj\u00ed v\u00fdkon, rychlost, p\u0159evodov\u00fd pom\u011br a typ aplikace, vyb\u00edr\u00e1 technick\u00fd t\u00fdm spole\u010dnosti Korea Ever-Power modul a \u0161\u00ed\u0159ku \u010deln\u00ed plochy, kter\u00e9 dosahuj\u00ed c\u00edlov\u00fdch bezpe\u010dnostn\u00edch faktor\u016f s nejv\u00fdhodn\u011bj\u0161\u00edm materi\u00e1lem. Jako p\u0159\u00edm\u00fd v\u00fdrobce \u0161ikm\u00fdch ozuben\u00fdch kol<\/a>Spole\u010dnost Korea Ever-Power zahrnuje do dokumentace objedn\u00e1vky souhrn v\u00fdpo\u010dt\u016f podle normy ISO 6336, \u010d\u00edm\u017e se technick\u00fd z\u00e1klad pro specifikaci p\u0159evodovky st\u00e1v\u00e1 pln\u011b transparentn\u00edm. Prohl\u00e9dn\u011bte si sortiment \u0161ikm\u00fdch ozuben\u00fdch kol<\/a> pro pr\u016fmyslov\u00e9 aplikace pohon\u016f.<\/p>\n

\u010casto kladen\u00e9 ot\u00e1zky<\/h2>\n
Pro\u010d je \u03c3_H lim pro cementovan\u00e9 \u0161ikm\u00e9 ozuben\u00e9 kolo 3\u00d7 vy\u0161\u0161\u00ed ne\u017e pro ozuben\u00e9 kolo QT, ale \u03c3_F lim pouze 2\u00d7 vy\u0161\u0161\u00ed?<\/strong><\/p>\n

Mezn\u00ed hodnota \u00fanavy v kontaktu \u03c3_H lim se p\u0159ibli\u017en\u011b zvy\u0161uje s druhou mocninou tvrdosti povrchu (Hertzova kontaktn\u00ed \u00fanava je povrchov\u00fd jev \u0159\u00edzen\u00fd kalen\u00fdm p\u0159\u00edpadem). Ztrojn\u00e1soben\u00ed tvrdosti povrchu z HB 280 na HRC 60 v\u00edce ne\u017e ztrojn\u00e1sob\u00ed \u03c3_H lim. Mezn\u00ed hodnota \u00fanavy v ohybu \u03c3_F lim se zvy\u0161uje v\u00edce s hou\u017eevnatost\u00ed j\u00e1dra ne\u017e s tvrdost\u00ed povrchu \u2013 trhlina v lomu ko\u0159ene zubu se \u0161\u00ed\u0159\u00ed materi\u00e1lem j\u00e1dra, nikoli tvrd\u00fdm povrchem. Zv\u00fd\u0161en\u00ed tvrdosti povrchu zlep\u0161uje \u03c3_F lim pouze m\u00edrn\u011b (zlep\u0161en\u00edm tlakov\u00e9ho zbytkov\u00e9ho nap\u011bt\u00ed v z\u00f3n\u011b ko\u0159ene z cementa\u010dn\u00ed transformace), zat\u00edmco dramaticky zlep\u0161uje \u03c3_H lim. Tato asymetrie znamen\u00e1, \u017ee pro cementovan\u00e9 materi\u00e1ly... \u0161ikm\u00e1 ozuben\u00e1 kola<\/strong>, sou\u010dinitel bezpe\u010dnosti pro d\u016flkovou korozi S_H je obvykle mnohem vy\u0161\u0161\u00ed ne\u017e sou\u010dinitel bezpe\u010dnosti pro ohyb S_F \u2013 \u00fanava v ohybu \u010dast\u011bji ur\u010duje minim\u00e1ln\u00ed p\u0159ijatelnou velikost ozuben\u00e9ho kola pro cementovan\u00e9 spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> p\u00e1ry.<\/p>\n<\/div>\n

Jak se zm\u011bn\u00ed v\u00fdsledky v\u00fdpo\u010dtu podle normy ISO 6336 zv\u00fd\u0161en\u00edm \u00fahlu \u0161roubovice \u03b2 z 20\u00b0 na 25\u00b0?<\/strong><\/p>\n

\u00dahel stoup\u00e1n\u00ed \u0161roubovice vstupuje do vzorce pro kontaktn\u00ed nap\u011bt\u00ed podle normy ISO 6336 prost\u0159ednictv\u00edm t\u0159\u00ed faktor\u016f: Z_\u03b5 (faktor kontaktn\u00edho pom\u011bru, zlep\u0161uje se s \u03b5_\u03b2), Z_\u03b2 (faktor \u00fahlu stoup\u00e1n\u00ed \u0161roubovice = \u221acos \u03b2, m\u00edrn\u00fd pokles s \u03b2) a Z_H (z\u00f3nov\u00fd faktor, m\u00edrn\u00fd pokles). \u010cist\u00fd efekt zv\u00fd\u0161en\u00ed \u03b2 z 20\u00b0 na 25\u00b0 na \u03c3_H je p\u0159ibli\u017en\u011b -5 a\u017e -81 TP3T (tj. ni\u017e\u0161\u00ed kontaktn\u00ed nap\u011bt\u00ed, lep\u0161\u00ed odolnost proti d\u016flkov\u00e9 korozi) \u2013 p\u0159edev\u0161\u00edm proto, \u017ee \u03b5_\u03b2 se u typick\u00e9ho pr\u016fmyslov\u00e9ho ozuben\u00e9ho kola zvy\u0161uje z p\u0159ibli\u017en\u011b 0,9 na 1,3, co\u017e v\u00fdrazn\u011b sni\u017euje Z_\u03b5. U posudku ohybu se Y_\u03b2 m\u00edrn\u011b zlep\u0161uje s \u03b2, co\u017e d\u00e1le sni\u017euje \u03c3_F. Oba bezpe\u010dnostn\u00ed faktory se zlep\u0161uj\u00ed, kdy\u017e se \u03b2 zvy\u0161uje z 20\u00b0 na 25\u00b0, ale na \u00fakor zv\u00fd\u0161en\u00e9ho axi\u00e1ln\u00edho tlaku (F_a se zvy\u0161uje o tan 25\u00b0\/tan 20\u00b0 = 1,28 \u00d7 p\u016fvodn\u00ed hodnota) \u2013 co\u017e je obvykl\u00fd kompromis.<\/p>\n<\/div>\n

Mohu pro specifikaci \u0161ikm\u00e9ho ozuben\u00e9ho kola pou\u017e\u00edt p\u0159evodov\u00fd stupe\u0148 AGMA 2101 m\u00edsto ISO 6336?<\/strong><\/p>\n

Ano \u2013 normy AGMA 2101 a ISO 6336 jsou zalo\u017eeny na stejn\u00fdch z\u00e1kladn\u00edch vzorc\u00edch pro Hertzovo kontaktn\u00ed nap\u011bt\u00ed a Lewisovo ohybov\u00e9 nap\u011bt\u00ed, s odli\u0161nou nomenklaturou sou\u010dinitel\u016f a m\u00edrn\u011b odli\u0161n\u00fdmi konvencemi sou\u010dinitel\u016f bezpe\u010dnosti. Pro v\u011bt\u0161inu aplikac\u00ed bude ozuben\u00e9 kolo spr\u00e1vn\u011b dimenzovan\u00e9 podle normy ISO 6336 s S_H \u2265 1,1 a S_F \u2265 1,5 tak\u00e9 spl\u0148ovat krit\u00e9ria hodnocen\u00ed AGMA 2101 s odpov\u00eddaj\u00edc\u00edm pou\u017eit\u00edm provozn\u00edho sou\u010dinitele. Spole\u010dnost Korea Ever-Power pou\u017e\u00edv\u00e1 normu ISO 6336 jako v\u00fdchoz\u00ed v\u00fdpo\u010detn\u00ed standard, ale m\u016f\u017ee poskytnout v\u00fdstup ve form\u00e1tu AGMA 2101 z\u00e1kazn\u00edk\u016fm, kte\u0159\u00ed jej vy\u017eaduj\u00ed \u2013 stejn\u00fd. spir\u00e1lov\u00e9 ozuben\u00e9 kolo<\/strong> se prov\u00e1d\u00ed bez ohledu na to, ve kter\u00e9 norm\u011b je v\u00fdpo\u010det prezentov\u00e1n.<\/p>\n<\/div>\n

Je v\u00fdpo\u010det podle normy ISO 6336 v\u017edy konzervativn\u00ed, nebo m\u016f\u017ee nadhodnocovat \u017eivotnost p\u0159evodovky?<\/strong><\/p>\n

Norma ISO 6336 je zam\u00fd\u0161lena jako konzervativn\u00ed (pesimistick\u00e1) pro st\u0159edn\u00ed kvalitu materi\u00e1lu (\u00farove\u0148 MQ) \u2013 ozuben\u00e9 kolo, kter\u00e9 spl\u0148uje normu ISO 6336 p\u0159i S_H = 1,0, by m\u011blo s dobrou pravd\u011bpodobnost\u00ed p\u0159e\u017e\u00edt projektovanou \u017eivotnost. U materi\u00e1lu kvality ME (pr\u00e9miov\u00e1 cementovan\u00e1 ozuben\u00e1 kola s velmi p\u0159\u00edsnou metalurgickou kontrolou) m\u016f\u017ee podhodnotit skute\u010dnou \u017eivotnost a nadhodnotit \u017eivotnost, pokud: materi\u00e1l je na doln\u00ed hranici rozsahu MQ; KA je podhodnocen (skute\u010dn\u00e9 \u0161pi\u010dkov\u00e9 zat\u00ed\u017een\u00ed p\u0159ekra\u010duje p\u0159edpokl\u00e1dan\u00fd provozn\u00ed faktor); nebo faktor nesouososti K_H\u03b2 je p\u0159\u00edli\u0161 n\u00edzk\u00fd (zbytkov\u00e1 nesouosost po instalaci je vy\u0161\u0161\u00ed, ne\u017e se p\u0159edpokl\u00e1dalo ve v\u00fdpo\u010dtu). Pro kritick\u00e9 aplikace spole\u010dnost Korea Ever-Power doporu\u010duje specifikovat skute\u010dn\u00e9 faktory K z nam\u011b\u0159en\u00e9 v\u00fdchylky h\u0159\u00eddele a souososti sk\u0159\u00edn\u011b, sp\u00ed\u0161e ne\u017e pou\u017e\u00edvat tabulkov\u00e9 odhady.<\/p>\n<\/div>\n

\n

Vy\u017e\u00e1dejte si v\u00fdpo\u010det pevnosti pro v\u00e1\u0161 \u0161ikm\u00fd ozuben\u00fd p\u0159evod podle normy ISO 6336<\/h2>\n

Uve\u010fte sv\u016fj v\u00fdkon, rychlost, p\u0159evodov\u00fd pom\u011br, osovou vzd\u00e1lenost a typ aplikace. Spole\u010dnost Korea Ever-Power prov\u00e1d\u00ed kompletn\u00ed v\u00fdpo\u010det dle norem ISO 6336-2 (d\u016flkov\u00e1 koroze) a ISO 6336-3 (ohyb) a doporu\u010duje spr\u00e1vn\u00fd modul, \u0161\u00ed\u0159ku \u010deln\u00ed plochy a materi\u00e1l pro dosa\u017een\u00ed po\u017eadovan\u00fdch bezpe\u010dnostn\u00edch faktor\u016f \u2013 standardn\u011b zahrnuto v ka\u017ed\u00e9 objedn\u00e1vce pr\u016fmyslov\u00e9ho p\u0159evodu.<\/p>\n

Vy\u017e\u00e1dat si v\u00fdpo\u010det dle ISO 6336<\/a>
\nProduktov\u00e1 \u0159ada \u0161ikm\u00fdch ozuben\u00fdch kol<\/a><\/div>\n

D\u016flkov\u00e1 odolnost dle ISO 6336-2 \u00b7 Ohyb dle ISO 6336-3 \u00b7 Uveden\u00e9 S_H a S_F \u00b7 V\u0161echny K-faktory jsou uvedeny \u00b7 Sou\u010d\u00e1st\u00ed ka\u017ed\u00e9 objedn\u00e1vky<\/p>\n<\/div>\n

St\u0159iha\u010d: Cxm<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"

V\u00fdpo\u010det pevnosti pro \u0161ikm\u00e9 ozuben\u00e9 kolo dle normy ISO 6336 \u2013 Vysv\u011btlen\u00ed hodnocen\u00ed kontaktn\u00ed \u00fanavy a ohybov\u00e9 \u00fanavy Ka\u017ed\u00fd \u0161ikm\u00fd ozuben\u00fd pohon mus\u00ed proj\u00edt dv\u011bma nez\u00e1visl\u00fdmi kontrolami \u00fanavy: odolnost\u00ed proti bodov\u00e9 korozi (kontaktn\u00ed \u00fanava, \u03c3_H) a ohybovou pevnost\u00ed v ohybu u paty zubu (\u03c3_F). Norma ISO 6336 poskytuje celosv\u011btov\u011b uzn\u00e1van\u00fd v\u00fdpo\u010detn\u00ed r\u00e1mec pro ob\u011b kontroly. Pochopen\u00ed struktury t\u011bchto dvou kontrol \u2013 co ka\u017ed\u00e1 [\u2026]<\/p>","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[3082],"tags":[],"class_list":["post-2357","post","type-post","status-publish","format-standard","hentry","category-helical-gears"],"_links":{"self":[{"href":"https:\/\/helicalcutgears.top\/cs\/wp-json\/wp\/v2\/posts\/2357","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/helicalcutgears.top\/cs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/helicalcutgears.top\/cs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/helicalcutgears.top\/cs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/helicalcutgears.top\/cs\/wp-json\/wp\/v2\/comments?post=2357"}],"version-history":[{"count":2,"href":"https:\/\/helicalcutgears.top\/cs\/wp-json\/wp\/v2\/posts\/2357\/revisions"}],"predecessor-version":[{"id":2361,"href":"https:\/\/helicalcutgears.top\/cs\/wp-json\/wp\/v2\/posts\/2357\/revisions\/2361"}],"wp:attachment":[{"href":"https:\/\/helicalcutgears.top\/cs\/wp-json\/wp\/v2\/media?parent=2357"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/helicalcutgears.top\/cs\/wp-json\/wp\/v2\/categories?post=2357"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/helicalcutgears.top\/cs\/wp-json\/wp\/v2\/tags?post=2357"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}