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Characteristic nonlinear system identification of local attachments with clearance nonlinearities

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Abstract

This research considers the identification of mathematical models for the dynamics of local nonlinear attachments with clearance nonlinearities directly from measured transient-response data. Specifically, a recently developed method, designated as the characteristic nonlinear system identification (CNSI) method, is implemented to identify the dynamics of local nonlinear attachments with clearance nonlinearities. The first major advantage of the CNSI procedure is that it provides the means to correlate the equation of motion governing the attachment directly to the instantaneous frequency and damping observed experimentally. The second major advantage is that it identifies the dynamics of the attachment entirely from mass measurements and the measured transient response of the attachment and its installation points. The first phase of the CNSI approach focuses on extracting the characteristic displacement, characteristic velocity, instantaneous frequency, and instantaneous damping from the measured response. The second phase begins with the analyst proposing a model for the dynamics based on the instantaneous frequency and damping curves, and the unknown parameters of the model are then systematically identified through a curve-fitting procedure. The CNSI method is demonstrated experimentally using the response of a linear model airplane wing with a local nonlinear attachment equipped with a clearance nonlinearity.

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Acknowledgements

The author would like to thank Alireza Mojahed for his stimulating conversations regarding.

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  1. Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, NE, 68588, USA

    Aryan Singh & Keegan J. Moore

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Correspondence to Keegan J. Moore.

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Singh, A., Moore, K.J. Characteristic nonlinear system identification of local attachments with clearance nonlinearities. Nonlinear Dyn 102, 1667–1684 (2020). https://doi.org/10.1007/s11071-020-06004-8

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