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Abstract

This article presents a new gear surface roughness induced noise source model while taking into account the sliding contacts between meshing gear teeth. The surface asperities on tooth surfaces are modeled as compact structural beam elements that radiate sound in the off-line of action after sliding impacts, against asperities of the meshing surface, occur. A linear time-varying (LTV) model of a spur gear pair (with sliding friction) is employed to calculate the instantaneous sliding velocity between pinion and gear teeth, which is then applied to the asperities as the initial condition. The transient sound field from the flexural motions of surface asperities (acoustically baffled along their axes), which are released from the cylindrical Hertzian contact zone in gear teeth, is computed. The modal superposition method is used for far and free field calculations given the surface roughness and its (assumed) asperity distribution on the tooth profile. Typical sound pressure predictions show that the noise levels increase with operating speeds and surface roughness.

Keywords

Gear dynamics acoustic source surface roughness sliding friction

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Gear Surface Roughness Induced Noise Prediction Based on a Linear Time-varying Model with Sliding Friction

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