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Wednesday, July 10 • 16:30 - 16:50
Simulation of a damped nonlinear beam based on modal decomposition and Volterra series

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This paper addresses the model order reduction and the simulation of a damped nonlinear pinned beam excited by a distributed force. The model is based on : (H1) the assumption of Euler-Bernoulli kinematics (any cross-section before deformation remains straight after deformation); (H2) Von Karman's assumptions which couples the axial and the bending movements, introducing a nonlinearity in the model; (H3) some viscous and structural damping phenomena. The problem is first described and its linearized version is analyzed. This is used to build a reduced order model based on a standard modal decomposition. Then, the nonlinear system is examined in the framework of the regular perturbation theory. It is solved based on a Volterra series approach : the vibration is decomposed into a sum of nonlinear homogeneous contributions with respect to the excitation. The convergence of the series and the truncation error are characterized. Finally, numerical experiments are presented and discussed.

Moderators
TH

Thomas Hélie

Dr., CNRS, STMS Lab (IRCAM-CNRS-SU)

Authors

Wednesday July 10, 2019 16:30 - 16:50 EDT
Westmount 5
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