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Observations of modal interactions in resonantly forced beam-mass structures
Authors:B. Balachandran  A. H. Nayfeh
Affiliation:(1) Engineering Science and Mechanics Department, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, U.S.A.
Abstract:We present a collection of experimental results on the influence of modal interactions (i.e., internal or autoparametric resonances) on the nonlinear response of flexible metallic and composite structures subjected to a range of resonant excitations. The experimental results are provided in the form of frequency spectra, Poincaré sections, pseudo-phase planes, dimension calculations, and response curves. Experimental observations of transitions from periodic to chaotically modulated motions are also presented. We also discuss relevant analytical results. The current study is also relevant to other internally resonant structural systems.
Keywords:Internal resonances  bifurcations  quasiperiodic motions  chaos
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