Abstract
The design approaches are not rated for gear tooth volume, the designers are not aware of the loss or gain on the cost, and failure or success of the design. This study provides a novel method to rate and convert textbook gear design approaches into ANSI/AGMA standard. The steel pinions with lowest and highest strengths covering minimum and maximum strengths available for the gear design meshing with cast iron gear were used in order to ensure that the method presented is generic. The method relies on obtaining design data (module m (mm) and face width F (mm)) for the most common design approaches considering bending fatigue. The gear design approaches are rated for the loss or gain using dimensionless geometric rating numbers, and then dimensionless conversion factors are obtained. Mean values of conversion factors independent of input power for the desired speed ratio are used to derive correlation equations for converting the design results of the selected approach to ANSI/AGMA standard. The method verified by case studies is generic and applicable to any gear design approach. Now, the most commonly used spur gear design approaches are rated by considering the gear volume. Furthermore, m and F obtained from the easiest textbook design approaches can be easily converted into the most accurate but more complicated, challenging and time-consuming ANSI/AGMA standard with minimum effort and error. It does not only allow saving time and resources but also provides safer and reliable designs for designers who are not bound to use a specific gear standard.
Kurzfassung
Die Designansätze sind nicht für das Getrieberadzahnvolumen geeignet, den Designern sind die Zunahme oder Abnahme der Kosten sowie das Versagen oder der Erfolg des Designs nicht bekannt. Die diesem Beitrag zugrunde liegende Studie sieht ein neuartiges Verfahren vor, um Designansätze aus Lehrbüchern zu bewerten und in ANSI/AGMA-Normen umzurechnen. Die Stahlstirnräder mit den niedrigsten und den höchsten Festigkeiten wurden verwendet, um die minimalen und maximalen für die Getriebedesignvernetzung zur Verfügung stehenden Festigkeiten abzudecken, und, um sicherzustellen, dass die vorgestellten Verfahren generisch sind. Das Verfahren basiert darauf, dass die Ermittlung der Designdaten (Modul m und Flankenbreite F) für die meisten üblichen Designansätze Wechselbiegebelastung berücksichtigt. Die Ansätze für die Getriebeauslegung werden nach dem Verlust bzw. Anstieg bemessen, in dem dimensionslose Getriebebemessungszahlen verwendet werden und schließlich dimensionslose Umwandlungsfaktoren ermittelt werden. Die Hauptwerte der Umwandlungsfaktoren werden eingesetzt, um Korrelationsfaktoren für die Umrechnung der Designergebnisse des gewählten Ansatzes in die ANSI/AGMA-Normen abzuleiten, und zwar unabhängig von der Eingangsleistung für das anzustrebende Geschwindigkeitsverhältnis. Das mittels Fallstudien verifizierte Verfahren ist generisch und für jeden Getriebeauslegungsansatz anwendbar. Anschließend werden die meisten üblicherweise verwendeten Designansätze für Kegelradgetriebe bewertet, indem das Volumen berücksichtigt wird. Zudem können die Parameter m und F, die aus den einfachsten Lehrbuch-Designansätzen ermittelt werden, leicht in die genauesten, aber komplizierteren, herausfordernden und zeitaufwändigen ANSI/AGMA-Normen mit minimalem Aufwand und Fehler umgewandelt werden. Dies erlaubt nicht nur eine Zeit und Ressourceneinsparung, sondern stellt auch sichere und verlässlichere Auslegungen für Designer zur Verfügung, die nicht an einen spezifischen Getriebestandard gebunden sind.
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