Abstract
Since more attention has been paid to the development of pure electric vehicles, small and high efficiency of transmission system is the trend. The paper proposes a novel double-arc bevel gear nutation transmission system with two inputs and one output for pure electric vehicles. Compared with the traditional planetary gear transmission, the designed system has advantages of compact structure, small radial dimension and low cost. The nutation transmission of double-arc bevel gears is transformed into a spur planetary gear transmission mechanism with few teeth difference when the inclination angle is equal to zero. Based on kinetic and gear meshing analysis, it is found that the transmission efficiency of the model is related to the nutation gear ratio and the speed ratio of two power sources. The approach of analyzing the efficiency proposed in this paper can provide theoretical basis for the efficiency analysis of the nutation transmission in the future.
Zusammenfassung
Da der Entwicklung von reinen Elektrofahrzeugen mehr Aufmerksamkeit gewidmet wurde, ist der Trend bei der kleinen und hohen Effizienz des Übertragungssystems. Das Papier schlägt ein neuartiges Doppelbogen-Getriebe mit zwei Eingängen und einem Ausgang für reine Elektrofahrzeuge vor. Im Vergleich zur herkömmlichen Planetengetriebe hat das entworfene System Vorteile der kompakten Struktur, der geringen Radialgeschwindigkeit und der geringen Kosten. Die Nutverbindung von Doppelbogen-Kegelrädern wird in einen Stirnrüsten-Planetengetriebemechanismus mit wenigen Zahnunterschieden umgewandelt, wenn der Neigungswinkel gleich Null ist. Basierend auf der kinetischen und Zahnradmeshing-Analyse wird festgestellt, dass die Übertragungseffizienz des Modells mit dem Verzugsgetriebe-Verhältnis und dem Geschwindigkeitsverhältnis zweier Stromquellen zusammenhängt. Der Ansatz, die in diesem Papier vorgeschlagene Effizienz zu analysieren, kann theoretische Grundlagen für die Effizienzanalyse der Nutationsübertragung in der Zukunft liefern.
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Abbreviations
- \(d_{m}\) :
-
Pitch circle diameter of the midpoint of tooth width
- \(F_{n}\) :
-
Positive pressure
- \(F_{t}\) :
-
Tangential force
- \(F_{\tau }\) :
-
Radial force
- \(F_{x}\) :
-
Axial force
- \(i_{12}\) :
-
Ratio of components 1 and 2
- \(i_{12}^{3}\) \(i_{21}^{3}\) :
-
ratio of components 1 and 2 when \(-\omega _{3}\) is added to the mechanism
- \(i_{13}^{2}\) \(i_{31}^{2}\) :
-
Ratio of components 1 and 3 when \(-\omega _{2}\) is added to the mechanism
- \(i_{31}\) :
-
Ratio of components 3 and 1
- \(i_{32}\) :
-
Ratio of components 3 and 2
- \(i_{32}^{1}\) \(i_{23}^{1}\) :
-
Ratio of components 3 and 2 when \(-\omega _{1}\) is added to the mechanism
- P:
-
\(\mathrm{Z}_{2}/\mathrm{Z}_{1}\)
- \(P_{1}^{3}\) \(P_{2}^{3}\) :
-
Power of component 1, 2 when \(-\omega _{3}\) is added to the mechanism
- \(P_{i}(i=1,2,3)\) :
-
Power of component 1, 2, 3
- \(P_{\text{in}}\) :
-
Input power
- \(P_{\mathrm{loss}}\) :
-
Relative sliding loss power
- \(r_{1}\) \(r_{2}\) :
-
Pitch radius of spiral bevel gear pair
- \(r_{v1}\) \(r_{v2}\) :
-
Equivalent pitch radius of cylindrical gear pair
- \(T_{i}(i=1,2,3)\) :
-
Torque of component 1, 2, 3
- \(v_{t}\) :
-
Relative sliding velocity
- \(\mathrm{Z}_{1}\) \(\mathrm{Z}_{2}\) :
-
Tooth number of components 1, 2
- \(z_{v1}\) \(z_{v2}\) :
-
Equivalent teeth number
- \(\alpha _{n}\) :
-
Pressure angle of pitch circle
- \(\upbeta\) :
-
Tooth alignment pressure angle
- \(\updelta\) :
-
Pitch cone angle
- \(\eta\) :
-
Mechanical efficiency of the nutation gear drive
- \(\eta '\) :
-
Efficiency coefficient
- \(\eta ^{''}\) :
-
Loss coefficient
- \(\eta _{\text{total}}\) :
-
Total efficiency of the nutation transmission system
- \(\mu\) :
-
Friction coefficient
- \(\varphi _{1}\) \(\varphi _{2}\) :
-
Meshing power coefficient of component 1, 2
- \(\omega _{i}(i=1,2,3,5)\) :
-
Angular velocity of component 1,2,3,5
- \(\omega _{i}^{3}(i=1,2,5)\) :
-
Angular velocity of component 1, 2, 5 when \(-\omega _{3}\) is added to the mechanism
- \(\omega _{v1}\) \(\omega _{v2}\) :
-
Angular velocity of the equivalent gear pair
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Acknowledgements
The authors would like to acknowledge the support of the NSFC (Grant Nos. 51775114, 51275092 and 51875105), and Fujian Provincial Innovation Center for Robot Basic Components Technology and System Integration Manufacturing.
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Wan, N., Yao, L. Efficiency modelling and analysis for a novel double-arc bevel gear nutation transmission system for pure electric vehicles. Forsch Ingenieurwes 83, 393–399 (2019). https://doi.org/10.1007/s10010-019-00359-0
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DOI: https://doi.org/10.1007/s10010-019-00359-0