TY - GEN
T1 - Vibration confinement phenomena in disordered, mono-coupled, multi-span beams
AU - Bouzit, Djamel
AU - Pierre, Christophe
N1 - Publisher Copyright:
© 1991 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1991
Y1 - 1991
N2 - The effects of small, periodicity-destroying irregularities on the dynamics of multi-span beams are examined. It is shown that minute deviations of the span lengths from an ideal value alter qualitatively the dynamic response by localizing vibrations and waves to small geometric regions. These confinement phenomena are studied over a wide frequency range for beams resting on simple supports and with variable interspan coupling. Approximations of the localization factor (the average rate of spatial exponential decay of the vibration amplitude) are derived by statistical perturbation methods and validated by Monte Carlo simulations. If the interspan coupling is strong, localization effects are weak and of no practical significance for most engineering structures. On the other hand, localization is severe for small interspan coupling. Confinement is also generally stronger near the edges of frequency passbands and increases nearly linearly with frequency from passband to passband. This means that strong localization occurs at high frequencies, even for large static coupling between spans. De-localization is also observed at very high frequencies.
AB - The effects of small, periodicity-destroying irregularities on the dynamics of multi-span beams are examined. It is shown that minute deviations of the span lengths from an ideal value alter qualitatively the dynamic response by localizing vibrations and waves to small geometric regions. These confinement phenomena are studied over a wide frequency range for beams resting on simple supports and with variable interspan coupling. Approximations of the localization factor (the average rate of spatial exponential decay of the vibration amplitude) are derived by statistical perturbation methods and validated by Monte Carlo simulations. If the interspan coupling is strong, localization effects are weak and of no practical significance for most engineering structures. On the other hand, localization is severe for small interspan coupling. Confinement is also generally stronger near the edges of frequency passbands and increases nearly linearly with frequency from passband to passband. This means that strong localization occurs at high frequencies, even for large static coupling between spans. De-localization is also observed at very high frequencies.
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U2 - 10.1115/DETC1991-0285
DO - 10.1115/DETC1991-0285
M3 - Conference contribution
AN - SCOPUS:85104693673
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 129
EP - 140
BT - 13th Biennial Conference on Mechanical Vibration and Noise
T2 - ASME 1991 Design Technical Conferences, DETC 1991
Y2 - 22 September 1991 through 25 September 1991
ER -