A numerical approach to directly compute nonlinear normal modes of geometrically nonlinear finite element models
Extended an existing pseudo-arclength continuation algorithm to compute nonlinear normal modes of finite element models within the native code. Initial conditions for periodic solutions are based on a subset of the underlying linear modes, drastically reducing the number of variables to iterate on in the continuation algorithm. Demonstrated the approach on a beam model to highlight the performance of the algorithm. Demonstrated the approach on a realistic FEA model showing that this is applicable to large scale models.
nonlinear normal modes geometric nonlinearity nonlinear oscillations numerical continuation periodic orbit