A wave finite element-based formulation for computing the forced response of structures involving rectangular flat shells
Article first published online: 28 MAY 2013
Copyright © 2013 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Engineering
Volume 95, Issue 2, pages 91–120, 13 July 2013
How to Cite
Mencik, J.-M. (2013), A wave finite element-based formulation for computing the forced response of structures involving rectangular flat shells. Int. J. Numer. Meth. Engng., 95: 91–120. doi: 10.1002/nme.4494
- Issue published online: 23 JUN 2013
- Article first published online: 28 MAY 2013
- Manuscript Accepted: 11 MAR 2013
- Manuscript Revised: 21 JAN 2013
- Manuscript Received: 3 FEB 2012
- wave finite elements;
- rectangular shells;
- component mode synthesis
The harmonic forced response of structures involving several noncoplanar rectangular flat shells is investigated by using the Wave Finite Element method. Such flat shells are connected along parallel edges where external excitation sources as well as mechanical impedances are likely to occur. Also, they can be connected to one or several coupling elements whose shapes and dynamics can be complex. The dynamic behavior of the connected shells is described by means of numerical wave modes traveling towards and away from the coupling interfaces. Also, the coupling elements are modeled by using the conventional finite element (FE) method. A FE mesh tying procedure between shells having incompatible meshes is considered, which uses Lagrange multipliers for expressing the coupling conditions in wave-based form. A global wave-based matrix formulation is proposed for computing the amplitudes of the wave modes traveling along the shells. The resulting displacement solutions are obtained by using a wave mode expansion procedure. The accuracy of the wave-based matrix formulation is highlighted in comparison with the conventional FE method through three test cases of variable complexities. The relevance of the method for saving large CPU times is emphasized. Its efficiency is also highlighted in comparison with the component mode synthesis technique. Copyright © 2013 John Wiley & Sons, Ltd.