vibration of stretched string is periodic motion or non periodic motion
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the vibrations of a string subject to planar harmonic excitation, both experimentally and theoretically. We observe multiple periodic motions, planar and non-planar (whirling), as well as quasi-periodic whirling and irregularly precessing oscillations when the forcing frequency is near that of a transverse normal mode. A two-degree-of-freedom model is derived, and it is shown that these motions can be partially understood in terms of the completely integrable Hamiltonian system obtained when damping and forcing tend to zero in that model.
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