行星齒輪機構負載分配與負載分佈之實驗分析

邱吉駿

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行星齒輪機構負載分配與負載分佈之實驗分析

Experimental study of load sharing and load distribution in planetary gear

邱吉駿 , Masters　　Advisor：蔡錫錚　　

繁體中文

行星齒輪機構；負載分配；負載分佈；彈性銷；齒厚誤差；銷孔誤差；托架偏心誤差；太陽偏心誤差； Plnaetary gear ； Load sharing ； Load distribution ； Flexible pin ； Tooth thickness error ； Pin hole position error ； Eccentric error of sun gear and the carrier

Abstract │ Reference (19) │ Altmetrics

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Parallel Abstract 〈TOP〉

Because planetary gear drives transmit power parallel through split-path of multiple planets, they own the advantage of higher power density in comparison of other gear drives. However, uneven load sharing among the planets and uneven load distribution on the engaged flanks occur due to the manufacturing errors and assembly errors as well as the deformation of the components in the planetary gear set. In order to solve this problem of the related component by using flexible element or floating gears. The well known methods are the design with a floating sun gear and with  flexible pins. 
The aim of this study is to analyze the static load sharing and load distribution in planetary gear sets having manufacturing and assembly errors. The uneven load sharing due to the eccentric error of the carrier and/or the sun gear vary cyclically with carrier rotation, but the invariant load sharing is affected only by the tooth thickness error and pin hole position errors. Among the errors in the planetary gear set, the eccentric error of the carrier affect the load sharing the most. The next is eccentric error of the sun gear. The tangential pin hole position error and the tooth thickness error. The radial pin hole position has the least effect on the load sharing.
Two types of planetary gear sets were tested in the study: a planetary gear set with a fixed sun gear location (three planets), and a planetary gear set with a flexible-pin mechanism (five planets). The loads acting on the teeth were measured on the test rig with close_loop type (“back-to-back” type). A worm gear device is use to set the  input rotation angle of the sun gear. Strain gauges were mounted on the tooth roots of the ring gear and sun gear, and also on the flexible pins to acquire the load data. The test torque for the planetary gear set was chosen as 200 Nm and 300 Nm in the study.
The result of the experimental study shows that the load sharing factor varies cyclicaly with the rotation of the carrier. The main influence factor for uneven load sharing are the eccentric error of the carrier and the sun gear, as expected. The larger torque can also reduce the uneven load sharing. The result of the load distribution shows that the design of flex-pin could effectively improve the uneven distributed of tooth surface.

Reference ( 19 ) 〈TOP〉

[2] Hidaka, T., Terauchi, Y., and Dohi, K., “On the relation between the Run Out Errors and the Motion of the Center of Sun Gear in a Stoeckicht Planetary Gear,” Bull. JSME, 22, pp. 748-754, 1979.
連結：
[3] Kahraman, A., “Load Sharing Characteristics of Planetary Transmissions,” Mech. Mach. Theory, 29, pp. 1151-1165, 1994.
連結：
[4] Singh, A., “Load sharing behavior in epicyclic gears: Physical explanation and generalized formulation,” Mechanism and Machine Theory, 45, pp.511–530, 2010.
連結：
[5] Bodas, A., and Kahraman, A., “Influence of Carrier and Gear Manufacturing Errors on the Static Load Sharing Behavior of Planetary Gear Sets,” JSME Int. J., Ser. C, 47, pp. 908-915, 2004.
連結：
[6] Terauchi, Y., Nagamura, K., “Study on Deflection of Spur Gear Teeth : 2nd Report, Calculation of Tooth Deflection for Spur Gears with Various Tooth Profiles,” Bulletin of JSME , Vol. 24, No. 188, pp. 447-452, 1981.
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