{"id":2316,"date":"2026-06-24T02:27:40","date_gmt":"2026-06-24T02:27:40","guid":{"rendered":"https:\/\/helicalcutgears.top\/?p=2316"},"modified":"2026-06-24T02:27:40","modified_gmt":"2026-06-24T02:27:40","slug":"helical-rack-and-pinion-design-guide","status":"publish","type":"post","link":"https:\/\/helicalcutgears.top\/sk\/helical-rack-and-pinion-design-guide\/","title":{"rendered":"\u0160pir\u00e1lov\u00e1 ozuben\u00e1 ty\u010d a pastorok \u2014 n\u00e1vrh, aplik\u00e1cie CNC, kontrola v\u00f4le a sprievodca v\u00fdberom"},"content":{"rendered":"
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\u0160pir\u00e1lov\u00e1 ozuben\u00e1 ty\u010d a pastorok \u2014 n\u00e1vrh, aplik\u00e1cie CNC, kontrola v\u00f4le a sprievodca v\u00fdberom<\/h1>\n

\u0160pir\u00e1lov\u00e1 ozuben\u00e1 ty\u010d je \u0161pir\u00e1lov\u00e9 ozuben\u00e9 koleso s nekone\u010dn\u00fdm polomerom rozstupu \u2013 rozstupov\u00e1 kru\u017enica sa st\u00e1va plochou rozstupovou \u010diarou. Pri pou\u017eit\u00ed so \u0161pir\u00e1lov\u00fdm pastorkom premie\u0148a rota\u010dn\u00fd pohyb na presn\u00fd line\u00e1rny pohyb s ni\u017e\u0161\u00edm hlukom, vy\u0161\u0161ou nosnos\u0165ou a lep\u0161ou presnos\u0165ou polohovania ako priamy hrebe\u0148. T\u00e1to pr\u00edru\u010dka sa zaober\u00e1 v\u00fdberom uhla \u0161pir\u00e1ly, regul\u00e1ciou v\u00f4le pre CNC polohovanie, v\u00fdberom modulu z po\u017eiadaviek na line\u00e1rnu silu a oblas\u0165ami, kde \u0161pir\u00e1lov\u00fd pohon hrebe\u0148om prevy\u0161uje alternat\u00edvy.<\/p>\n

Zadajte svoj hrebe\u0148ov\u00fd pohon \u2192<\/a><\/p>\n<\/div>\n<\/div>\n

\u010co je to \u0161pir\u00e1lov\u00fd ozuben\u00fd hrebe\u0148? \u2013 \u0160pir\u00e1lov\u00e9 ozuben\u00e9 koleso s nekone\u010dn\u00fdm polomerom<\/h2>\n

\u0160pir\u00e1lov\u00e1 ty\u010d je geometricky identick\u00e1 s \u0161pir\u00e1lov\u00e9 ozuben\u00e9 koleso<\/strong> ktor\u00e9ho polomer rozstupu sa mohol zv\u00e4\u010d\u0161i\u0165 do nekone\u010dna \u2013 zakriven\u00e1 rozstupov\u00e1 kru\u017enica sa stane priamou rozstupovou \u010diarou, zakriven\u00fd profil zuba sa stane rovn\u00fdm \u0161ikm\u00fdm zubom a teleso ozuben\u00e9ho kolesa sa stane plochou doskou alebo ty\u010dou. \u0160pir\u00e1lov\u00e9 pastorok, ktor\u00fd zaber\u00e1 s ozuben\u00fdm hrebe\u0148om, je \u0161tandardn\u00fd \u0161pir\u00e1lov\u00e9 ozuben\u00e9 koleso<\/strong> s kone\u010dn\u00fdm polomerom rozstupu. Syst\u00e9m \u0161pir\u00e1lov\u00e9ho hrebe\u0148a a pastorka spolu premie\u0148a \u0161pir\u00e1lov\u00e9 ozuben\u00e9 koleso<\/strong> rot\u00e1cia pastorka do line\u00e1rneho posunu hrebe\u0148a (alebo voz\u00edka pastorka, ak je hrebe\u0148 pevn\u00fd) s rovnak\u00fdmi v\u00fdhodami z\u00e1beru zubov ako \u0161pir\u00e1lov\u00e9 ozuben\u00e9 koleso<\/strong> p\u00e1r: progres\u00edvny diagon\u00e1lny kontakt, vy\u0161\u0161\u00ed kontaktn\u00fd pomer, ni\u017e\u0161ia chyba prenosu a ni\u017e\u0161\u00ed hluk v porovnan\u00ed s priamym hrebe\u0148ov\u00fdm ozuben\u00fdm kolesom.<\/p>\n

Line\u00e1rny pohyb za \u0161pir\u00e1lov\u00e9 ozuben\u00e9 koleso<\/strong> Ot\u00e1\u010dky pastorka s\u00fa ur\u010den\u00e9 obvodom rozstupu pastorka: s = \u03c0 \u00d7 d\u2081 = \u03c0 \u00d7 Mn \u00d7 z\u2081 \/ cos \u03b2. Toto je z\u00e1kladn\u00e1 rovnica pre dimenzovanie hrebe\u0148ov\u00e9ho pohonu so \u0161pir\u00e1lou \u2013 \u0161pecifikuje line\u00e1rnu r\u00fdchlos\u0165 (mm\/min = s \u00d7 ot.\/min) a line\u00e1rnu silov\u00fa kapacitu z \u0161pir\u00e1lov\u00e9 ozuben\u00e9 koleso<\/strong> kr\u00fatiaci moment pastorka.<\/p>\n

\u0160pir\u00e1lov\u00e1 ozuben\u00e1 ty\u010d vs. priama ozuben\u00e1 ty\u010d \u2013 pre\u010do sa \u0161pir\u00e1la oplat\u00ed za t\u00fa zlo\u017eitos\u0165<\/h2>\n
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Parameter<\/th>\nRovn\u00fd hrebe\u0148 (\u03b2 = 0\u00b0)<\/th>\n\u0160pir\u00e1lov\u00e1 ozuben\u00e1 ty\u010d (\u03b2 = 15\u201325\u00b0)<\/th>\n<\/tr>\n<\/thead>\n
Hluk (pri rovnakej r\u00fdchlosti t\u00f3novej \u010diary)<\/td>\nVy\u0161\u0161ia \u2013 vstup zuba do celej \u0161\u00edrky je prudk\u00fd<\/td>\no 5\u201310 dB(A) ni\u017e\u0161ie \u2013 diagon\u00e1lny vstup zni\u017euje budenie n\u00e1razom<\/td>\n<\/tr>\n
Nosnos\u0165 (rovnak\u00e1 modulov\u00e1 a poh\u013eadov\u00e1 \u0161\u00edrka)<\/td>\nZ\u00e1kladn\u00e1 hodnota<\/td>\n10\u201325% vy\u0161\u0161\u00ed \u2013 vy\u0161\u0161\u00ed kontaktn\u00fd pomer rozklad\u00e1 za\u0165a\u017eenie na v\u00e4\u010d\u0161iu d\u013a\u017eku zuba<\/td>\n<\/tr>\n
Kontaktn\u00fd pomer<\/td>\n\u03b5_\u03b1 \u2248 iba 1,4\u20131,6<\/td>\n\u03b5_\u03b3 = 2,0\u20133,5 (\u03b5_\u03b1 + \u03b5_\u03b2) pre \u0161pir\u00e1lov\u00e9 ozuben\u00e9 koleso<\/strong> sie\u0165ovina<\/td>\n<\/tr>\n
Axi\u00e1lna sila na lo\u017eisko pastorka<\/td>\nNula<\/td>\nF_a = F_t \u00d7 tan \u03b2 (vy\u017eaduje sa uhlov\u00e9 kontaktn\u00e9 lo\u017eisko na pastorku)<\/td>\n<\/tr>\n
Plynulos\u0165 polohovania<\/td>\nZvlnenie r\u00fdchlosti pri frekvencii z\u00e1beru zubov<\/td>\nNi\u017e\u0161ie zvlnenie r\u00fdchlosti v\u010faka vy\u0161\u0161iemu kontaktn\u00e9mu pomeru<\/td>\n<\/tr>\n
V\u00fdroba<\/td>\nJednoduch\u0161ie \u2013 odva\u013eovanie alebo fr\u00e9zovanie s priamymi zubami<\/td>\nZlo\u017eitej\u0161ie \u2013 \u0161pir\u00e1lov\u00e9 odvalovanie s kompenz\u00e1ciou uhla \u0161pir\u00e1ly; kritick\u00e9 je prisp\u00f4sobenie skrutkovice medzi hrebe\u0148om a pastorkom<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

V\u00fdber uhla \u0161pir\u00e1ly pre ozuben\u00e9 koles\u00e1 a pastorkov\u00e9 pohony<\/h2>\n

V\u00fdber uhla \u0161pir\u00e1ly pre pohon so \u0161pir\u00e1lov\u00fdm hrebe\u0148om sa riadi rovnak\u00fdmi princ\u00edpmi ako pre ak\u00fdko\u013evek in\u00fd \u0161pir\u00e1lov\u00e9 ozuben\u00e9 koleso<\/strong> p\u00e1r, s jednou dodato\u010dnou \u00favahou: \u0161\u00edrka \u010dela ozuben\u00e9ho kolesa nie je obmedzen\u00e1 vonkaj\u0161\u00edm priemerom ozuben\u00e9ho kolesa, tak\u017ee pomer prekrytia \u03b5_\u03b2 = b \u00d7 sin \u03b2 \/ (\u03c0 \u00d7 Mn) je mo\u017en\u00e9 dosiahnu\u0165 \u013eubovo\u013enou kombin\u00e1ciou b a \u03b2. Pre line\u00e1rne osi CNC obr\u00e1bac\u00edch strojov je \u0161tandardn\u00fd rozsah \u03b2 = 15\u201325\u00b0:<\/p>\n