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Study on transmission error of double circular arc spiral bevel gears for nutation drive based on assembly errors and different loads

Untersuchung des Übertragungsfehlers von Doppelkreisbogen-Spiralkegelrädern für Nutationsantrieb auf Basis von Montagefehlern und unterschiedlichen Belastungen

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Abstract

As a new type of gear transmission, nutation gear drive is extensively applied in aviation, ship, medical equipment and other fields. In this paper, a two-stage nutation drive mechanism of double circular arc (DCA) bevel gears is presented and its dynamic characteristics are studied. First, according to the principle of meshing transmission, a mathematical model of dynamic transmission error (DTE) based on assembly errors is established. Through the analysis of dynamic transmission characteristics, the DTE curves with assembly errors and varying load are obtained, and the simulation results are analyzed reasonably by using RMS evaluating indicator. Finally, through the test verification under different loads, it is concluded that in a reasonable loading range, the decrease of load will reduce the fluctuation range of transmission error. The reduction of transmission error fluctuation indicates that the nutation drive of DCA spiral bevel gears is more stable and the noise is reduced under low load conditions. The study of the dynamic characteristics will provide theoretical basis and practical reference for the design of DCA spiral bevel gears.

Zusammenfassung

Als neuartiger Getriebetyp wird das Nutationsgetriebe in der Luftfahrt, auf Schiffen, in medizinischen Geräten und in anderen Bereichen in großem Umfang eingesetzt. In dieser Arbeit wird ein zweistufiger Nutationsantrieb für Doppelkegelräder mit Kreisbogen (DCA) vorgestellt und seine dynamischen Eigenschaften untersucht. Zunächst wird nach dem Prinzip der vermaschten Übertragung ein mathematisches Modell des dynamischen Übertragungsfehlers (Dynamic Transmission Error, DTE) auf der Grundlage von Montagefehlern erstellt. Durch die Analyse der dynamischen Übertragungseigenschaften werden die DTE-Kurven mit Montagefehlern und variierender Last erhalten und die Simulationsergebnisse werden unter Verwendung des RMS-Bewertungsindikators angemessen analysiert. Schließlich wird durch die Prüfung unter verschiedenen Belastungen der Schluss gezogen, dass in einem angemessenen Belastungsbereich die Abnahme der Belastung den Schwankungsbereich des Übertragungsfehlers verringert. Die Verringerung der Übertragungsfehlerschwankung zeigt, dass der Nutationsantrieb von DCA-Spiralkegelrädern stabiler ist und das Geräusch unter Bedingungen geringer Last verringert wird. Die Untersuchung der dynamischen Eigenschaften liefert theoretische Grundlagen und praktische Hinweise für die Konstruktion von DCA-Spiralkegelrädern.

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Acknowledgements

The authors would like to acknowledge the support of the NSFC (Grant Nos. 51775114, 51275092 and 51875105), Fujian Provincial Industrial Robot Basic Components Technology Research and Development Center (Grant No. 2014H21010011), and Fujian Provincial Collaborative Innovation Center for High-end Equipment Manufacturing.

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Fuzhou University, 350116, Fuzhou, China

    Yongwu Cai, Ligang Yao, Jiaxin Ding, Simin Ouyang & Jun Zhang

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  1. Yongwu Cai
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  2. Ligang Yao
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  3. Jiaxin Ding
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  4. Simin Ouyang
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  5. Jun Zhang
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Correspondence to Ligang Yao.

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Cai, Y., Yao, L., Ding, J. et al. Study on transmission error of double circular arc spiral bevel gears for nutation drive based on assembly errors and different loads. Forsch Ingenieurwes 83, 481–490 (2019). https://doi.org/10.1007/s10010-019-00347-4

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  • DOI: https://doi.org/10.1007/s10010-019-00347-4

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