Weak and strong vibration localization in disordered structures: A statistical investigation

doi:10.1016/0022-460X(90)90779-Y

Journal of Sound and Vibration

Volume 139, Issue 1, 22 May 1990, Pages 111-132

https://doi.org/10.1016/0022-460X(90)90779-Y Get rights and content

Abstract

A statistical investigation of the effects of disorder on the dynamics of one-dimensional nearly periodic structures is presented. The problem of vibration propagation from a local source of excitation is considered. While for the ordered infinite system there exists a frequency passband for which the vibration propagates without attenuation, the introduction of disorder results in an exponential decay of the amplitude for all excitation frequencies. Analytical expressions for the localization factors (the exponential decay constants) are obtained in the two limiting cases of weak and strong internal coupling, and the degree of localization is shown to depend upon the disorder to coupling ratio and the excitation frequency. Both modal and wave propagation descriptions are used. The perturbation results are verified by Monte Carlo simulations. The phenomena of weak and strong localization are evidence. While the former affects little the dynamics of most engineering structures, the latter is shown to be of significant importance in structural dynamics.

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Weak and strong vibration localization in disordered structures: A statistical investigation

Abstract

Journal of Sound and Vibration

Journal of Sound and Vibration

Journal of Sound and Vibration

Journal of Sound and Vibration

Vibration characteristics of mistuned shrouded blade assemblies

American Society of Mechanical Engineers Journal of Engineering for Gas Turbines and Power

Localization phenomena in mistuned assemblies with cyclic symmetry, Part I: free vibrations

American Society of Mechanical Engineers Journal of Vibrations, Acoustics, Stress, and Reliability in Design

Localized vibrations of disordered multi-span beams: theory and experiment

American Institute of Aeronautics and Astronautics Journal

Vibration isolation from irregularity in a nearly periodic structure: theory and measurements

Journal of the Acoustical Society of America

Mode localization phenomena in large space structures

American Institute of Aeronautics and Astronautics Journal

Localization of vibrations in large space reflectors

American Institute of Aeronautics and Astronautics Journal

Strong mode localization in nearly periodic disordered structures

American Institute of Aeronautics and Astronautics Journal

Confinement of vibration by structural irregularity

Journal of Sound and Vibration