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

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Prediction of Nonlinear Forced Response on Ancillary Subsystem Components Attached to Reduced Lineaprediction of the dynamic characteristics of this type of system can be costly and inefficient, in particular, when localized nonlinearities are present due to coupling elements such as hard contacts, isolation mounts, gap springs, bilinear springs, etc. Reduction methodologies are currently employe

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Stability Limitations in Simulation of Dynamical Systems with Multiple Time-Scales,ple time-scales. The linear and nonlinear stability properties of the presented exponential integrator have been studied. We illustrate this with the Fermi–Pasta–Ulam (FPU) problem, a highly oscillatory nonlinear system known as a test benchmark for multi-scale time integrators. This example is also

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Coupled Parametrically Driven Modes in Synchrotron Dynamics,of large radius. The stability of the transverse motion of such a rotating particle may be modeled as being governed by Mathieu’s equation. For a train of two such particles the equations of motion are coupled due to plasma interactions and resistive wall coupling effects.In this paper we study a sy

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Relating Backbone Curves to the Forced Responses of Nonlinear Systems,amping configuration. Nevertheless, they can be used to understand the underlying dynamics of nonlinear systems subjected to forcing and damping. Building on this concept, in this paper we describe an analytical technique used to predict the onset of internally-resonant modal interactions in an exam

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Nonlinear Modal Interaction Analysis for a Three Degree-of-Freedom System with Cubic Nonlinearitieser we consider a three degree-of-freedom system with nonlinear springs containing cubic nonlinear terms. First the undamped, unforced case is considered. Specifically the modal interaction case that occurs when all the underlying linear modal frequencies are close is considered (i.e. .). In the case

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Passive Flutter Suppression Using a Nonlinear Tuned Vibration Absorber, host system, attached through a linear spring and a damper (linear tuned vibration absorber, LTVA), significantly improves its stability. The use of a purely nonlinear spring in the absorber (nonlinear energy sink, NES) increases the frequency bandwidth of the absorber, reduce LCO amplitude and avo

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