Parametric Nonlinearity Identification of a Gearbox from Measured Frequency Response Data

Structural nonlinearity is commonly encountered at mechanical connections such as bearings and gears under dynamic loading. Usually, linear approximations of the nonlinearity will yield acceptable results. However, when the nonlinearity is dominant, the nonlinear analysis becomes unavoidable. Most of the time, in engineering assemblies the whole design is too complex to include the nonlinearity in the model. Then it becomes necessary to simplify the structure in order to analyze the nonlinear element separately. In this study, a method developed in an earlier work is implemented on a test rig containing gearbox. The method is capable of parametrically identifying nonlinearities from measured frequency response functions. In this paper, it is aimed to present the validity of the method by applying it to a real test structure and thus parametrically identifying the nonlinear element in the system to obtain a mathematical model, and then employing the model in harmonic response analysis of the system in order to compare predicted responses with measured ones.

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