Abstract
The cycloid planetary gear reducers in so-called Cyclo-type design are developed for a long time and already used in many applications. However, the analysis of performance under some extreme conditions becomes more important because the demand for accuracy increases. Among them, bearing clearance play a significant role for contact characteristics of the drives. It is not only because the transmission accuracy can be affected, but also because the load capacity of bearings would be reduced accordingly. Because of presence of bearing clearances, the cycloid disc is floating with three degree of freedom in the planar mechanism. This condition will cause more complicate in the load analysis for multiple contact pairs. The aim of the paper is thus to analyse contact characteristics of the relevant contact pairs in the Cyclo-type gear drives considering not only the influences of the crank bearing and the pin-hole clearances, but also profile modification of cycloid flank. A computerized loaded tooth contact analysis (LTCA) approach based on influence coefficient method is proposed in the paper for analysis of Cyclo-type drives having clearances. The effects of the clearances on contact characteristics are afterwards analysed by using an example from industry. The variation of shared load, contact stress on each individual cycloid tooth and on bearing roller, as well as the load of pin-hole are simulated with comparison of three different amounts of bearing clearance. The results show that the bearing clearances affect the loads acting on the pins of the-pin-shaft more strongly than the bearing, and have almost no significant influence on the contact with the pins of the pin wheel. The pin-hole clearance has less influences on the acting loads on the contact pairs, but affects significantly the peak-to-peak value of transmission errors.
Zusammenfassung
Die Zykloiden-Planetengetriebe in sogenannter Cyclo-Bauweise werden seit langem entwickelt und bereits in vielen Anwendungen eingesetzt. Die Analyse der Leistung unter einigen extremen Bedingungen wird jedoch wichtiger, da die Anforderungen an die Genauigkeit steigen. Unter anderem spielt die Lagerluft eine wesentliche Rolle für die Kontakteigenschaften der Antriebe. Dies liegt nicht nur daran, dass die Übertragungsgenauigkeit beeinträchtigt werden kann, sondern auch, weil die Tragfähigkeit der Lager entsprechend reduziert wird. Wegen des Vorhandenseins von Lagerluft schwebt die Zykloidenscheibe mit drei Freiheitsgraden im planaren Getriebe. Diese Bedingung wird die Lastanalyse für mehrere Kontaktpaare komplizierter machen. Ziel der Arbeit ist es daher, die Kontakteigenschaften der relevanten Kontaktpaare in den Zykloidengetrieben unter Berücksichtigung der Einflüsse der Kurbellagerlüfte und der Bolzen-Bohrung-Spiele, aber auch der Profilmodifikation der Zykloidenflanke zu analysieren. Ein computergestützter belasteter Kontaktanalyse Ansatz auf der Grundlage eines Einflusskoeffizientenverfahrens wird in disem Artikel zur Analyse von Cyclo-Antrieben mit Spiel und Lagerluft vorgeschlagen. Die Auswirkungen von Lagerluft und Spiel auf die Kontakteigenschaften werden anschließend anhand eines Beispiels aus der Industrie analysiert. Die Variation der geteilten Belastung, der Kontaktspannung an jedem einzelnen Zykloidenzahn und an der Lagerrolle sowie die Belastung der Bolzen-Bohrung werden durch den Vergleich von drei verschiedenen Lagerluftgrößen simuliert. Die Ergebnisse zeigen, dass die Lagerluft die auf die Zapfen der Zapfenwelle wirkenden Belastungen stärker beeinflussen als das Lager und den Kontakt mit den Triebstockverzahnung des Innenrades fast nicht wesentlich beeinflussen. Das Pin-Bohrung-Spiel hat weniger Einfluss auf die einwirkenden Belastungen der Kontaktpaare, beeinflusst aber maßgeblich den Spitze-Tal-Wert von Übertragungsfehlern.
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The authors would like to thank the Ministry of Science and Technology, Taiwan (MOST 109-2221-E-008-001-) and Transmission Machinery Co., Ltd., Taiwan for their financial support.
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Chang, LC., Tsai, SJ. & Huang, CH. Contact characteristics of cycloid planetary gear drives considering backlashes and clearances. Forsch Ingenieurwes 86, 337–356 (2022). https://doi.org/10.1007/s10010-021-00535-1
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DOI: https://doi.org/10.1007/s10010-021-00535-1