NONLINEAR MODEL REDUCTION FOR
INERTIALLY COUPLED NONLINEAR ELASTIC STRUCTURES
Fengxia Wang
This work investigates nonlinear model reduction in excited elastic structures that contain essential inertial nonlinearities. To achieve high fidelity in nonlinear resonant response prediction, linear normal modes may not be sufficient for order reduction. Another natural way to obtain reduced order models is to use nonlinear normal modes to perform model reduction. These nonlinear normal modes allow for a master-slave separation of degrees of freedom where these modes are constructed based on the multiple time scale approximation. For the elastic structure studied, the nonlinear modes based reduced model shows an over-prediction of the softening nonlinearity compared to the complete system.