Nonlinear vibration localisation in a symmetric system of two coupled beams
Filipe Fontanela, Alessandra Vizzaccaro, Jeanne Auvray, Björn Niedergesäß, Aurélien Grolet, Loïc Salles, Norbert Hoffmann
Abstract
Abstract We report nonlinear vibration localisation in a system of two symmetric weakly coupled nonlinear oscillators. A two degree-of-freedom model with piecewise linear stiffness shows bifurcations to localised solutions. An experimental investigation employing two weakly coupled beams touching against stoppers for large vibration amplitudes confirms the nonlinear localisation.
Topics & Concepts
Nonlinear systemVibrationPhysicsStiffnessAmplitudePiecewiseBifurcationMathematical analysisPiecewise linear functionClassical mechanicsMechanicsVibration controlControl theory (sociology)Mechanical systemMathematicsNonlinear OscillationsCoupling (piping)AcousticsBladed Disk Vibration DynamicsNonlinear Photonic SystemsNonlinear Dynamics and Pattern Formation