A stretched string that is harmonically forced in one plane may exhibit motion in a perpendicular plane. Previous studies (see Bajaj and Johnson (1992)) have shown that if only one mode is directly excited in the plane of the excitation, the steady-state motion in the perpendicular plane will contain large amplitude motion only in the same mode. In other words, large amplitude, non-planar oscillations may occur only for n:n (e.g., 1:l or 2:2) coupling. In this paper, it is shown that this result is not true for situations in which the mean force applied to the string is non-zero. A bias force, in combination with harmonic excitation at the second resonant frequency leads to outof- plane motion of the first mode of the string. This 2:l resonance is predicted by first-order averaging and is also seen in simulations and experiments.

Original languageEnglish
Title of host publication16th Biennial Conference on Mechanical Vibration and Noise
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791880425
StatePublished - 1997
EventASME 1997 Design Engineering Technical Conferences, DETC 1997 - Sacramento, United States
Duration: Sep 14 1997Sep 17 1997

Publication series

NameProceedings of the ASME Design Engineering Technical Conference


ConferenceASME 1997 Design Engineering Technical Conferences, DETC 1997
Country/TerritoryUnited States


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