GDN-6 DYNAMIC LOAD ON SPIRAL BEVEL GEARS(GEAR DYNAMICS AND NOISE)
Naoyuki TANAKA, Kousaku Ohno, Toshiyuki Innami
Abstract
Naoyuki TANAKA, Kousaku Ohno, Toshiyuki Innami
Abstract
A three-dimensional lumped-mass vibration model of spiral bevel gears (with 11 degrees of freedom) was derived. The model forms the basis of a method for calculating the response to a transmission error. The method shows that, at highest natural frequency, tooth deflection dominates other displacements. However, the resonance of this highest natural frequency with tooth contact frequency occurs at fairly low speed. At higher speeds, the transmission error due to cumulative pitch deviation resonated with lower orders of natural frequencies and increased the dynamic tooth load. A closed-power-circuit gear test machine was used to experimentally measure Klingeluberg-profile spiral bevel gears. The measured dynamic tooth root stress was found to agree well with the dynamic load predicted by the above-mentioned method. It is thus concluded that, in the design stage, the dynamic factor should be calculated by ISO 10300 method C rather than method B.
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A three-dimensional lumped-mass vibration model of spiral bevel gears (with 11 degrees of freedom) was derived. The model forms the basis of a method for calculating the response to a transmission error. The method shows that, at highest natural frequency, tooth deflection dominates other displacements. However, the resonance of this highest natural frequency with tooth contact frequency occurs at fairly low speed. At higher speeds, the transmission error due to cumulative pitch deviation resonated with lower orders of natural frequencies and increased the dynamic tooth load. A closed-power-circuit gear test machine was used to experimentally measure Klingeluberg-profile spiral bevel gears. The measured dynamic tooth root stress was found to agree well with the dynamic load predicted by the above-mentioned method. It is thus concluded that, in the design stage, the dynamic factor should be calculated by ISO 10300 method C rather than method B.
Key concepts: Spiral bevel gear, Bevel gear, Natural frequency, Vibration, Structural engineering, Spiral (railway), Deflection (physics), Gear tooth