Journal
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
Volume 81, Issue -, Pages 19-34Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ymssp.2016.03.008
Keywords
Internal resonance; Vibration testing; Normal form; Isola
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Funding
- EPSRC [EP/G036772/1, EP/K005375/1]
- European Research Council under the European Union's Seventh Framework Programme (FP)/ERC Grant [247045]
- Engineering and Physical Sciences Research Council [EP/K005375/1, EP/K003836/2] Funding Source: researchfish
- EPSRC [EP/K003836/2, EP/K005375/1] Funding Source: UKRI
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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. (C) 2016 The Authors. Published by Elsevier Ltd.
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