Titlebook: Nonlinear Dynamics, Volume 1; Proceedings of the 3 Gaëtan Kerschen Conference proceedings 2016 The Society for Experimental Mechanics, Inc.

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The Harmonic Balance Method for Bifurcation Analysis of Nonlinear Mechanical Systems,ear phenomena, namely quasiperiodic oscillations and detached resonance curves. This example illustrates how bifurcation tracking using the HB method can be employed as a promising design tool for detecting and eliminating such undesired behaviors.

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Nonlinear Vibrations of a Beam with a Breathing Edge Crack,linear differential equations of motion obtained by using Euler-Bernoulli beam theory are converted into nonlinear algebraic equations by using harmonic balance method (HBM). Under the action of a harmonic forcing, the effect of crack parameters on the vibrational behavior of the cracked beam is pre

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Passive Flutter Suppression Using a Nonlinear Tuned Vibration Absorber, words, the coupled system exhibits a linear-like dynamics, similar to the same system without structural nonlinearities. Considering a Van der Pol—Duffing oscillator as primary system, a closed-form solution for the local compensation of nonlinearities is obtained analytically. Numerical continuati

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