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- W2088462004 abstract "The transverse vibrations of a slender beam which is free to rotate about its longitudinal axis are considered. The beam is assumed to be flexible in one transverse derection only and a model is considered which accounts for non-linear stiffness due to mid-line stretching and non-linear inertia effects due to the rotation. Of interest here is the case when the spin rates are sufficiently large so that the straight position of the beam is unstable and the beam buckles due to centrifugal effects. The equations of motion for the individual modes are used to show, by using a verion of Melnikov's method, that chaotic motions exist for the first mode dynamic equations. Furthermore, it is shown by using the invariance of the modal subspaces that this chaos exists for the full beam equation: i.e., the partial differential equation of motion." @default.
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- W2088462004 date "1988-06-01" @default.
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- W2088462004 title "Chaotic dynamics of a slender beam rotating about its longitudinal axis" @default.
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- W2088462004 doi "https://doi.org/10.1016/s0022-460x(88)80191-3" @default.
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