Projects per year
Abstract
This work presents a conceptually simple experiment consisting of a cantilever beam with a nonlinear spring at the tip. The configuration allows manipulation of the relative spacing between the modal frequencies of the underlying linear structure, and this permits the deliberate introduction of internal resonance. A 3:1 resonance is studied in detail; the response around the first mode shows a classic stiffening response, with the addition of more complex dynamic behaviour and an isola region. Quasiperiodic responses are also observed but in this work the focus remains on periodic responses. Predictions using Normal Form analysis and continuation methods show good agreement with experimental observations. The experiment provides valuable insight into frequency responses of nonlinear modal structures, and the implications of nonlinearity for vibration tests.
Original language | English |
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Pages (from-to) | 19-34 |
Number of pages | 16 |
Journal | Mechanical Systems and Signal Processing |
Volume | 81 |
Early online date | 31 Mar 2016 |
DOIs | |
Publication status | Published - 15 Dec 2016 |
Keywords
- Internal resonance
- Vibration testing
- Normal form
- Isola
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Dive into the research topics of 'Periodic responses of a structure with 3:1 internal resonance'. Together they form a unique fingerprint.Projects
- 1 Finished
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Dynamic design tools for understanding and exploiting nonlinearity in structures
Neild, S. A. (Principal Investigator)
1/02/13 → 31/07/18
Project: Research
Datasets
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Experimental data, Periodic responses of a structure with 3:1 internal resonance
Neild, S. (Contributor), Friswell, M. (Contributor), Hill, T. (Contributor) & Shaw, A. (Contributor), Zenodo, 18 Mar 2016
DOI: 10.5281/zenodo.48133, https://zenodo.org/record/48133
Dataset
Profiles
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Professor Simon A Neild
- School of Civil, Aerospace and Design Engineering - Professor in Nonlinear Structural Dynamics
- Dynamics and Control
Person: Academic , Group lead