Advances in aircraft and spacecraft science

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

A WFE and hybrid FE/WFE technique for the forced response of stiffened cylinders

  • Errico, Fabrizio (LTDS, Laboratoire de Tribologie et Dynamique des Systems, Ecole Centrale de Lyon) ;
  • Ichchou, M. (LTDS, Laboratoire de Tribologie et Dynamique des Systems, Ecole Centrale de Lyon) ;
  • De Rosa, S. (Pasta-Lab, Laboratory for promoting experiences in aeronautical structures and acoustics, Dipartimento di Ingegneria Industriale Sezione Aerospaziale, Universita' degli Studi di Napoli "Federico II") ;
  • Bareille, O. (LTDS, Laboratoire de Tribologie et Dynamique des Systems, Ecole Centrale de Lyon) ;
  • Franco, F. (Pasta-Lab, Laboratory for promoting experiences in aeronautical structures and acoustics, Dipartimento di Ingegneria Industriale Sezione Aerospaziale, Universita' degli Studi di Napoli "Federico II")
  • Received : 2017.07.24
  • Accepted : 2017.07.31
  • Published : 2018.01.25
⟨ Previous Next ⟩

Abstract

The present work shows many aspects concerning the use of a numerical wave-based methodology for the computation of the structural response of periodic structures, focusing on cylinders. Taking into account the periodicity of the system, the Bloch-Floquet theorem can be applied leading to an eigenvalue problem, whose solutions are the waves propagation constants and wavemodes of the periodic structure. Two different approaches are presented, instead, for computing the forced response of stiffened structures. The first one, dealing with a Wave Finite Element (WFE) methodology, proved to drastically reduce the problem size in terms of degrees of freedom, with respect to more mature techniques such as the classic FEM. The other approach presented enables the use of the previous technique even when the whole structure can not be considered as periodic. This is the case when two waveguides are connected through one or more joints and/or different waveguides are connected each other. Any approach presented can deal with deterministic excitations and responses in any point. The results show a good agreement with FEM full models. The drastic reduction of DoF (degrees of freedom) is evident, even more when the number of repetitive substructures is high and the substructures itself is modelled in order to get the lowest number of DoF at the boundaries.

Keywords

References

  1. Barbieri, E., De Rosa, S., Cammarano, A. and Franco, F. (2009), "Waveguides of a composite plate by using the spectral finite element approach", J. Vibr. Contr., 15(3), 347-367. https://doi.org/10.1177/1077546307087455
  2. Brillouin, L. (1953), Wave Propagation in Periodic Structures: Electric Filters and Crystal Lattices, 2nd Edition, Dover Publications, INC., Mineola, New York, U.S.A.
  3. Chronopoulos, D., Troclet, B., Bareille, O. and Ichchou, M. (2013), "Modeling the response of composite panels by a dynamic stiffness approach", Compos. Struct., 96, 111-120. https://doi.org/10.1016/j.compstruct.2012.08.047
  4. Chronopoulos, D., Troclet, B., Bareille, O. and Ichchou, M. (2014), "Computing the broadband vibroacoustic response of arbitrarily thick layered panels by a wave finite element approach", Appl. Acoust., 77, 89-98. https://doi.org/10.1016/j.apacoust.2013.10.002
  5. Cotoni, V., Langley, R.S. and Shorter, P.J. (2008), "A statistical energy analysis subsystem formulation using finite element and periodic structure theory", J. Sound Vibr., 318, 1077-1108. https://doi.org/10.1016/j.jsv.2008.04.058
  6. D'Alessandro, V. (2014), "Investigation and assessment of the wave and finite element method for structural waveguides", Ph.D. Dissertation, University of Naples Federico II, Italy.
  7. Manconi, E. and Mace, B.R. (2008), "Modelling wave propagation in two dimensional structures using finite element analysis", J. Sound Vibr., 318(4-5), 884-902. https://doi.org/10.1016/j.jsv.2008.04.039
  8. Mead, D.J. (1996), "Wave propagation in continuous periodic structures: Research contributions from Southampton", J. Sound Vibr., 190(3), 495-524. https://doi.org/10.1006/jsvi.1996.0076
  9. Mencik, J.M. and Ichchou, M.N. (2007), "Wave finite elements in guided elastodynamics with internal fluid", J. Sol. Struct., 44(7-8), 2148-2167. https://doi.org/10.1016/j.ijsolstr.2006.06.048
  10. Mencik, J.M. (2010), "On the low- and mid-frequency forced response of elastic structures using wave finite elements with one-dimensional propagation", Comput. Struct., 88 674-689. https://doi.org/10.1016/j.compstruc.2010.02.006
  11. Mitrou, G., Ferguson, N. and Renno, J. (2017), "Wave transmission through two-dimensional structures by the hybrid FE/WFE approach", J. Sound Vibr., 389, 484-501. https://doi.org/10.1016/j.jsv.2016.09.032
  12. Renno, J.M. and Mace, B.R. (2014), "Calculating the forced response of cylinders using the wave and finite element method", J. Sound Vibr., 333, 5340-5355. https://doi.org/10.1016/j.jsv.2014.04.042
  13. Renno, J. and Mace, B. (2013), "Calculation of the reflection and transmission coefficients of joints using a hybrid finite element/wave finite element approach", J. Sound Vibr., 332, 2149-2164. https://doi.org/10.1016/j.jsv.2012.04.029
  14. Waki, Y., Mace, B.R. and Brennan, M.J. (2009), "Numerical issues concerning the wave and finite element method for free and forced vibrations of waveguides", J. Sound Vibr., 327, 92-108. https://doi.org/10.1016/j.jsv.2009.06.005

Cited by

  1. Investigation of the sound transmission through a locally resonant metamaterial cylindrical shell in the ring frequency region vol.125, pp.11, 2018, https://doi.org/10.1063/1.5081134