Parametrically excited vibrations in spiral bevel geared systems
Abstract
This research focuses on the development of a model for the prediction of the dynamic behavior of geared systems with emphasis on understanding the effects and importance of parametric excitation resulting from meshing gear teeth. Utilizing a combination of sub-system models developed through both experimental and theoretical techniques, a complete model of a drive train system is used to validate both modeling and solution procedures. The source of the parametric excitation is the time-varying stiffness associated with the meshing of gear teeth. The gear tooth model has been developed using finite element analysis. The gear tooth model is coupled with shaft and bearing models developed using an energy approach and finally with a housing model found using experimental modal techniques. Analysis of the resulting equations of motion is performed using techniques founded in Floquet theory allowing for the determination of both system response and stability properties. Based on the results, it can be concluded that spiral bevel gears operating at small contact ratios are likely to give rise to large amplitude vibrations and parametric instabilities. These responses are due to a combination of low mean gear mesh stiffness and relatively large amplitude parametric excitation created by meshing spiral bevel gears operating at low contact ratios.
Degree
Ph.D.
Advisors
Krousgrill, Purdue University.
Subject Area
Mechanical engineering
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