Bridging the Gap Between Nonlinear Normal Modes and Modal Derivatives

Nonlinear Normal Modes (NNMs) have a clear conceptual relation to the classical linear normal modes (LNMs), yet they offer a solid theoretical framework for interpreting a wide class of non-linear dynamical phenomena with no linear counterpart. The main difficulty associating with NNMs is that the computation for real-size models is expensive,...

A NURBS based Galerkin projection method for the numerical computation of nonlinear normal modes using invariant manifolds

In this report a NURBS based Galerkin projection method will be synthesised for the numerical computation of nonlinear normal modes using invariant manifolds. The computed nonlinear normal modes will be used to create a reduced order model that describes the single mode dynamical behaviour of a nonlinear vibrational dynamical system. The...