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• W2327180182 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." @default.
• W2327180182 created "2016-06-24" @default.
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• W2327180182 date "2016-12-01" @default.
• W2327180182 modified "2023-10-17" @default.
• W2327180182 title "Periodic responses of a structure with 3:1 internal resonance" @default.
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• W2327180182 doi "https://doi.org/10.1016/j.ymssp.2016.03.008" @default.
• W2327180182 hasPublicationYear "2016" @default.
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