TY - GEN
T1 - Coupling between modes of the asymmetrically-forced stretched string
AU - Bayly, Philip V.
AU - Murphy, Kevin D.
N1 - Publisher Copyright:
© 1997 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1997
Y1 - 1997
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85101936303&partnerID=8YFLogxK
U2 - 10.1115/DETC97/VIB-4099
DO - 10.1115/DETC97/VIB-4099
M3 - Conference contribution
AN - SCOPUS:85101936303
T3 - Proceedings of the ASME Design Engineering Technical Conference
BT - 16th Biennial Conference on Mechanical Vibration and Noise
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 1997 Design Engineering Technical Conferences, DETC 1997
Y2 - 14 September 1997 through 17 September 1997
ER -