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Dynamic testing of nonlinear vibrating structures using nonlinear normal modes
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DOI：10.1016/j.jsv.2010.08.028.png)
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Abstract
En 中文
Modal testing and analysis is well-established for linear systems. The objective of this paper is to progress toward a practical experimental modal analysis (EMA) methodology of nonlinear mechanical structures. In this context, nonlinear normal modes (NNMs) offer a solid theoretical and mathematical tool for interpreting a wide class of nonlinear dynamical phenomena, yet they have a clear and simple conceptual relation to the classical linear normal modes (LNMs). A nonlinear extension of force appropriation techniques is developed in this study in order to isolate one single NNM during the experiments. With the help of time-frequency analysis, the energy dependence of NNM modal curves and their frequencies of oscillation are then extracted from the time series. The proposed methodology is demonstrated using two numerical benchmarks, a two-degree-of-freedom system and a planar cantilever beam with a cubic spring at its free end. (C) 2010 Elsevier Ltd. All rights reserved.
Keywords:
MODAL IDENTIFICATION
WAVELET TRANSFORM
GEOMETRICAL NONLINEARITY
FORCE APPROPRIATION
PART II
SYSTEMS
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