Modal Derivatives based Reduction Method for Finite Deflections in Floating Frame

Modal Derivatives based Reduction Method for Finite Deflections in Floating Frame

Wu, L.
Tiso, P.

Mechanical, Maritime and Materials Engineering

Precision and Microsystems Engineering

2014-07-20

Model order reduction techniques are widely applied in the floating frame of reference. The use of linear vibration modes, however, is not applicable when the elastic deformations become finite. In this paper, the non-linear elastic formulation, where the higher-order terms will be included in the strain energy expression to consider the bending-stretching coupling effect, is applied in the floating frame of reference. In this case, the complexity of the formulation diminishes the advantages of the floating frame of reference formulation because of the relatively high computational cost. Therefore, the linear reduction basis of vibration modes is augmented with the relevant modal derivatives to accurately reproduce the nonlinear elastic deformation on the reduced basis. The numerical results presented in this paper demonstrate that the proposed approach can be applied to accurately investigate problems featuring arbitrary large rigid body rotations and finite elastic displacements.

modal derivatives
floating frame
geometric nonlinearities

http://resolver.tudelft.nl/uuid:c04ed78e-e9a4-40c6-8449-7ec129e3a91c

CIMNE

978-84-942844-7-2

Proceedings - WCCM XI: 11th World Congress on Computational Mechanics; ECCM V: 5th European Conference on Computational Mechanics; ECFD VI: 6th European Conference on Computational Fluid Dynamics, Barcelona, Spain, 20-25 July 2014

Institutional Repository

conference paper

© 2014 The Authors