Nonparametric identification of asymmetric nonlinear vibration systems with the Hilbert transform
The objective of the paper is presenting a simple and more accurate technique for precise identification of nonlinear elastic force functions acting in asymmetric vibration systems. The identification procedure based on the Hilbert transform is a nonparametric one; it does not require a priori infor...
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Published in | Journal of sound and vibration Vol. 331; no. 14; pp. 3386 - 3396 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Kidlington
Elsevier Ltd
02.07.2012
Elsevier |
Subjects | |
Online Access | Get full text |
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Summary: | The objective of the paper is presenting a simple and more accurate technique for precise identification of nonlinear elastic force functions acting in asymmetric vibration systems. The identification procedure based on the Hilbert transform is a nonparametric one; it does not require a priori information about the system structure or its parameters. The examples of the identification of asymmetric classic vibration nonlinear models – the Helmholtz and the double-well Duffing oscillators – are investigated.
► The Hilbert transform decomposes a solution into harmonics and aperiodic components. ► Their combination forms a congruent envelope and an instantaneous frequency. ► The congruent functions present two skeleton curves of an asymmetric system solution. ► They also build precisely initial nonlinear elastic force characteristics. ► Two models are investigated: the Helmholtz and the Duffing–Holmes oscillators. |
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Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 ObjectType-Article-1 ObjectType-Feature-2 |
ISSN: | 0022-460X 1095-8568 |
DOI: | 10.1016/j.jsv.2012.02.025 |