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The Quarterly Journal of Mechanics and Applied Mathematics 1976 29(1):25-34; doi:10.1093/qjmam/29.1.25
© 1976 by Oxford University Press
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THE LOW-FREQUENCY SWAYING OF A RESONATED STRUCTURE

RONALD SMITH

( Department of Applied Mathematics and Theoretical Physics, University of Cambridge )

It has been observed that a sufficiently large disturbance can lead to the low-frequency swaying of a structure which is being resonated in one of its higher modes. The behaviour of the structure is modelled in terms of cubic coupling between two linearly damped normal modes of the structure. An analytic approximation is obtained for the threshold amplitude of the disturbance necessary for the swaying to persist.


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