MODE LOCALIZATION DUE TO SYMMETRY-BREAKING NONLINEARITIES

Abstract
We present some ideas regarding the occurrence of mode localization in nonlinear structural systems. Preliminary analytical and numerical findings indicate that even if the linearized system has perfect periodicity, and thus cannot feature localized behavior, severe localization may occur in the nonlinear system when nonlinear terms break symmetry. These symmetry-breaking nonlinear terms play the same role as disorder does in nearly periodic linear systems.

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