Resonant response analysis of a high speed gear

Mathematics

Scientific paper

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Dynamic Structural Analysis, Finite Element Method, Gears, Mathematical Models, Resonant Frequencies, Failure, Jet Engines, Mechanical Drives, Modal Response, Resonance Testing, Structural Stability

Scientific paper

The resonant response of high-speed, lightweight and highly loaded gears may cause rapid and destructive failure. The resonant response of a transmission gear in a jet engine experiencing resonant failure was investigated. It is a 97-tooth planet gear in a planetary gear train. Its operating range is from 7800 to 10,000 rpm. The finite element method was used to evaluate the resonance behavior of the gear. Experimental work was subsequently conducted to confirm the mode shapes and the level of response. A resonance analysis was also carried out to identify the resonant frequencies when the gear is rotating. It was found that that the finite element method accurately predicted the natural frequencies of the complex gear shape. The results of this work were used to modify the gear design so that its natural frequencies do not coincide with any operational excitation condition.

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