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Påverkan av sätthärdning på kugghjulets geometri / The Effect of Case Hardening on the Gear GeometryBjärnhall, Leila January 2015 (has links)
Värmebehandlingen av ett kugghjul sker genom sätthärdning. Detta görs i syfte att modifiera kuggens fysiska och mekaniska egenskaper. Kuggens härdade yta blir nötningsbeständig medan den sega kärnan visar en större flexibilitet för överföring av laster som vridmoment. För uppfyllning av önskade egenskaper värms kugghjulet i en kolgivande miljö (härd ugn) och behålls där under en viss tid och direkt efter att kuggen lämnat ugnen utsätts det för en påföljande snabbkylning. Dessa moment medför oftast geometriavvikelser och deformationer i kugghjulets geometri. Korrigering av dessa avvikelser blir svåra att åstadkomma i efterhand (Not 1) och innebär höga tillverkningskostnader. Idag väljer kuggtillverkaren ett optimalt tillverkningsätt, i syfte att förhindra eller minimera dessa tillverkningsfel. För att tillverkaren ska kunna vidta lämpliga åtgärder för kompensering av dessa geometriska fel, måste han ha tillräcklig kunskap om avvikelsens dimension. Att känna till avvikelsens mönster är den rätta vägen till att kunna hantera dem. Detta examensarbete har utförts vid Örebro universitet i samarbete med Meritor HVS i Lindesberg och behandlar geometriska avvikelser på ett cylindriskt kugghjul, påverkat av värmebehandling, så kallad sätthärdning. Kugghjulet kallas också för Solhjul och är kärnan i en planetkuggväxel som ingår i en navreaktion och sitter vid bakhjulen hos tunga fordon. I detta arbete har jag studerat avvikelsens dimension i form, storlek och riktning, Fig. 1. Via jämförelse av mätdata (Not 2) före och efter processen av sätthärdning, framställs en hypotetisk avvikelsemodell. Modellen kan vara signifikativ för Solhjulsproduktens geometriändring i stort, och kan användas vidare som bedömning av lösningar. En kuggs geometri korrigeras sällan i efterhand vilket beror på svårigheter med bearbetning av en hård yta. Lösningar ska alltså innebära förebyggande eller kompenserande åtgärder som implementeras redan i tidigare process steg. Figur1: Avvikelsestudier i 3 dimensioner: 1- Storlek: hur stor andel av den totala tillverkningsavvikelsen står för just denna del processen? 2- Riktning: avsaknad av eller anskaffande av material? (åt vilket hål) 3- Hur jämnt fördelad avvikelsen kan vara? (deformation i slutform) <img 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 / The heat treatment of a gear takes place by case hardening. This is done in order to modify the tooth's physical and mechanical properties. The gear hardened surface will be abrasion resistant, while the tough core shows greater flexibility for transferring loads, such as torque moment. For reaching the desired characteristics, a gear, is heated in a carbon rich environment (hearth furnace) and is retained for a certain period. Immediately after leaving the oven the gear is subjected to a subsequent rapid cooling. These operations typically entail geometric deviations and deformations of the gear. Correction of these deviations will be difficult to achieve in afterward. It would involve high manufacturing costs. Today gear manufactures choose optimal manufacturing processes, in order to prevent or minimize these kind of geometric defects. So that the manufacturers can provide appropriate measures to compensate for these geometric errors, they must have sufficient knowledge of the deviated dimension. Knowing the pattern of deviation is the right way to be able to handle them. This thesis is written at Örebro University in cooperation with Meritor HVS in Lindesberg and treats geometrical deviations of a spur gear, affected by heat treatment, known as case hardening. The gear is also called Sun wheel and it is the core component of a planetary gear transmission system (as a part of a nave- reaction) which sits at the rear axle of heavy vehicle there, wheel is located. In this work, I have studied the gears geometric deviation of dimensional in shape, size and orientation, Figure 1. During comparison of data before and after the process of case hardening, a hypothetical deviation model was produced. The model can be significant for the sun gear production’s geometry change in general, affected by case hardening, and can be further used as the assessment of compensating solutions. Due to the difficulties in forming of a hardened surface of tooth, geometric correction as solution is implemented at earlier process stage. An example of this can be over dimensioning of gear that might turn shrinking in more advanced process stages. My solution in this thesis would be a solution that is implemented on an early process stage in a way of optimizing the manufacturing processes. Figure 1. <img 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