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- W2085451013 abstract "The mean-square response of an oscillator with a nonlinear spring to narrow-band random excitation can exhibit multiple values in some frequency ranges. The randomly occurring jumps in level are similar to the jump phenomenon seen in the case of a swept sinusoidal excitation. The mean-square response of a Duffing oscillator is calculated here using equivalent linearization. The excitation is pink noise passed through a first-order resonant filter. Triple values of the response can occur at some frequencies only when the filter bandwidth is narrower than the oscillator bandwidth. The correct sinusoidal excitation limit is obtained as the filter bandwidth is decreased. On the other hand, the mean-square response is wholely single-valued if either the filter or oscillator bandwidths are large. The narrow-band mean-square response can be treated as a spectrum level. Integration of this level over all excitation frequencies shows good agreement with the exact mean-square response to white noise excitation. When multiple values occur the integrations using either the “upper” or “lower” part of the response spectrum bracket the exact value and can hence be used to give a crude estimate of the relative times the response is at the two pseudostable levels. Further work to estimate the expected time spent at each level is in progress. [Work supported by NSERC, Canada.]" @default.
- W2085451013 created "2016-06-24" @default.
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- W2085451013 date "1983-11-01" @default.
- W2085451013 modified "2023-10-18" @default.
- W2085451013 title "Narrow‐band random response of a nonlinear oscillator" @default.
- W2085451013 doi "https://doi.org/10.1121/1.2021225" @default.
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