TY - GEN
T1 - Invariant nnm manifolds for studying localized and chaotic dynamics of an array composed of stiff/soft elements
AU - Georgiou, Ioannis T.
AU - Vakakis, Alexander F.
N1 - Publisher Copyright:
© 1997 by ASME.
PY - 1997
Y1 - 1997
N2 - This study concerns propagation of waves in a coupled array of soft/sti oscillators. We show that the array supports a fam- ily of purely slow waves, including a solitary one, and a family of purely fast waves. The slow and fast waves interact to give rise to chaotically modulated slow/fast and fast/slow waves. Slow and fast waves are realized as two-dimensional invariant manifolds (normal modes) in phase space of a singular perturbation problem.
AB - This study concerns propagation of waves in a coupled array of soft/sti oscillators. We show that the array supports a fam- ily of purely slow waves, including a solitary one, and a family of purely fast waves. The slow and fast waves interact to give rise to chaotically modulated slow/fast and fast/slow waves. Slow and fast waves are realized as two-dimensional invariant manifolds (normal modes) in phase space of a singular perturbation problem.
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U2 - 10.1115/DETC97/VIB-3954
DO - 10.1115/DETC97/VIB-3954
M3 - Conference contribution
AN - SCOPUS:85101973668
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 -