Nonlinear vibration modes and energy localization in micro-resonator arrays

Abstract

In recent decades, a particular localization phenomenon called intrinsic localized modes has been studied with great interest in physics and other fields. Here, this localization is studied in the context of micro-electromechanical systems to determine if they can be realized by using nonlinear normal modes or nonlinear vibration modes. Various analytical methods are explored, and a modified version of the invariant manifold approach is shown to be successful in predicting the amplitude profile of an intrinsic localized mode and initiating localizations within the considered micro-array. © 2007 Springer.