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Advances in Aircraft and Spacecraft Science Volume 3, Number 3, July 2016 , pages 317-330 DOI: https://doi.org/10.12989/aas.2016.3.3.317 |
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Extension of the variational theory of complex rays to orthotropic shallow shell structures |
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Alessandro Cattabiani, Andrea Barbarulo, Hervé Riou and Pierre Ladevèze
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| Abstract | ||
| Nowadays, the interest of aerospace and automotive industries on virtual testing of mediumfrequency vibrational behavior of shallow shell structures is growing. The development of software capable of predicting the vibrational response in such frequency range is still an open question because classical methods (i.e., FEM, SEA) are not fully suitable for the medium-frequency bandwidth. In this context the Variational Theory of Complex Rays (VTCR) is taking place as an ad-hoc technique to address mediumfrequency problems. It is a Trefftz method based on a weak variational formulation. It allows great flexibility because any shape function that satisfies the governing equations can be used. This work further develops such theory. In particular, orthotropic materials are introduced in the VTCR formulation for shallow shell structures. A significant numerical example is proposed to show the strategy. | ||
| Key Words | ||
| VTCR; medium-frequency; orthotropic materials; shallow shells | ||
| Address | ||
| Alessandro Cattabiani, Hervé Riou and Pierre Ladevèze : LMT-Cachan, ENS Cachan/CNRS/Paris-Saclay-University, 61 avenue du Président Wilson, F-94230 Cachan France Andrea Barbarulo : Laboratoire MSSMat, Centrale-Supélec/CNRS UMR8579, Grande Voie des Vignes, Cedex, Chatenay-Malabry, 92290, France | ||
