Non-planar, non-linear oscillations of a beam II. Free motions

doi:10.1016/0022-460X(76)90943-3

Journal of Sound and Vibration

Volume 47, Issue 3, 8 August 1976, Pages 333-339

https://doi.org/10.1016/0022-460X(76)90943-3 Get rights and content

Abstract

Steady and unsteady free motions of compact beams with fixed ends are examined. It is found that in certain situations planar motions are unstable to out-of-plane perturbations and whirling motions occur. In resonant cases these whirling motions are of the beating type, whereas in non-resonant situations they have a steady-state behaviour.

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^☆: Research supported in part by the National Science Foundation Grant GK-36374X.

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Non-planar, non-linear oscillations of a beam II. Free motions☆

Abstract

International Journal of Non-Linear Mechanics

International Journal of Non-Linear Mechanics

International Journal of Mechanical Science

Resonances in non-stationary, non-linear multi-degree-offreedom systems

American Institute of Aeronautics and Astronautics Journal

General perturbational solution of a harmonically forced non-linear oscillator equation

International Journal of Non-Linear Mechanics

Large amplitude forced vibrations of elastic structures

American Institute of Aeronautics and Astronautics Journal