The computational burden of an explicit dynamic analysis of thin-walled structures discretized with solid-shell elements can be very high, since the stability condition leads to extremely low time steps because of the small thickness. A selective mass scaling procedure ([1], [2],[3]) can be introduced to overcome this limitation. The technique proposed in [4] for single-layer 8-node solid-shell elements is here generalized to the case of multi-layer shells. The idea is to modify the mass matrix, scaling down the highest structural eigenfrequencies, so that the critical time step is determined only by the in-plane size of the elements, as with standard four-nodes shell meshes. Moreover, the resulting critical time step is shown to be independent of the number of layers used for the throughthe- thickness discretization. The accuracy of the proposed procedure and the computational gain are tested with the aid of numerical examples.

Selective mass scaling for multi-layer solid-shell discretization of thin-walled structures

CONFALONIERI, FEDERICA;GHISI, ALDO FRANCESCO;PEREGO, UMBERTO
2015

Abstract

The computational burden of an explicit dynamic analysis of thin-walled structures discretized with solid-shell elements can be very high, since the stability condition leads to extremely low time steps because of the small thickness. A selective mass scaling procedure ([1], [2],[3]) can be introduced to overcome this limitation. The technique proposed in [4] for single-layer 8-node solid-shell elements is here generalized to the case of multi-layer shells. The idea is to modify the mass matrix, scaling down the highest structural eigenfrequencies, so that the critical time step is determined only by the in-plane size of the elements, as with standard four-nodes shell meshes. Moreover, the resulting critical time step is shown to be independent of the number of layers used for the throughthe- thickness discretization. The accuracy of the proposed procedure and the computational gain are tested with the aid of numerical examples.
3rd ECCOMAS Young Investigators Conference (YIC2015)
selective mass scaling, explicit dynamics, solid-shell
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/982776
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