Vibration of axisymmetric composite piezoelectric shells coupled with internal fluid

International Journal for Numerical Methods in Engineering

Volumn 71, Issue 12, 2007, Pages 1412-1435

  Larbi, W ^a   Deu J F ^a   Ohayon, R ^a  

^a University of Paris Cité   (France)

Author keywords

Axisymmetric conical shells; Finite element method; Fluid structure interaction; Free vibrations; Piezoelectric laminates

Indexed keywords

COMPRESSIBLE FLOW; FINITE ELEMENT METHOD; PIEZOELECTRIC MATERIALS; VIBRATIONS (MECHANICAL);

AXISYMMETRIC CONICAL SHELLS; PIEZOELECTRIC LAMINATES;

FLUID STRUCTURE INTERACTION;

COMPRESSIBLE FLOW; FINITE ELEMENT METHOD; FLUID STRUCTURE INTERACTION; PIEZOELECTRIC MATERIALS; VIBRATIONS (MECHANICAL);

EID: 34548679836     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1987     Document Type: Article

References (27)

1. Zhang XM, Liu GR, Lato KY. Coupled vibration analysis of fluid-filled cylindrical shells using the wave propagation approach. Applied Acoustics 2001; 62(3):229-243.
2. Ding HJ, Chen WQ, Guo YM, Yang QD. Free vibration of piezoelectric cylindrical shells filled with compressible fluid, International Journal of Solids and Structures 1997; 34(16):2025-2034.
3. Chen WQ, Bian ZG, Lv CF, Ding HJ. 3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid, International Journal of Solids and Structures 2004; 41(3):947-964.
4. Deü J-F, Larbi W. A state space method for free-vibration analysis of radially polarized laminated piezoelectric cylinder filled with fluid. In Proceedings of the Eighth International Conference on Computational Structures Technology, CST2006, Las Palmas de Gran Canaria, Spain, 12-15 September 2006.
5. Kaljevic I, Saravanos DA. Steady-state response of acoustic cavities bounded by piezoelectric composite shell structures. Journal of Sound and Vibration 1997; 204(3):459-479.
6. Hussein M, Heyliger PR. Discrete layer analysis of axisymmetric vibrations of laminated piezoelectric cylinders. Journal of Sound and Vibration 1996; 192(3):995-1013.
7. Benjeddou A, Gorge V, Ohayon R. Use of piezoelectric shear response in adaptive sandwich shells of revolution - part 1: theoretical formulation. Journal of Intelligent Material Systems and Structures 2001; 12(4):235-245.
8. Pinto Correia IF, Mota Soares CM, Mota Soares CA, Herskovits J. Active control of axisymmetric shells with piezoelectric layers: a mixed laminated theory with a high order displacement field. Computers and Structures 2002; 80(27-30):2265-2275.
9. Xi ZC, Yam LH, Leung TP. Free vibration of a laminated composite circular cylindrical shell partially filled with fluid. Composites Part B: Engineering 1997; 28(4):359-374.
10. Zhang YL, Reese JM, Gorman DG. A comparative study of axisymmetric finite elements for the vibration of thin cylindrical shells conveying fluid, International Journal for Numerical Methods in Engineering 2002; 54(1):89-110.
11. Kochupillai J, Ganesan N, Padmanabhan C. Model reduction for parametric instability analysis in shells conveying fluid. Journal of Sound and Vibration 2003; 262(3):633-649.
12. Schotté J-S, Ohayon R. Incompressible hydroelastic vibrations, finite element modelling of the elastogravity operator. Computers and Structures 2005; 83(2-3):209-219.
13. Andrianarison O, Ohayon R. Compressibility and gravity effects in internal fluid-structure vibrations: basic equations and appropriate variational formulations. Computer Methods in Applied Mechanics and Engineering 2006; 195(17-18):1958-1972.
14. Bermúdez A, Rodríguez R. Finite element computation of the vibration modes of a fluid-solid system. Computer Methods in Applied Mechanics and Engineering 1994; 119(3-4):355-370.
15. Tzou HS. Piezoelectric Shells: Distributed Sensing and Control of Continua. Kluwer Academic Publishers: Dordrecht, Boston, London, 1993.
16. Morand HJ-P, Ohayon R. Fluid-Structure Interaction. Wiley: New York, 1995.
17. Galucio AC, Deü J-F, Ohayon R. A fractional derivative viscoelastic model for hybrid active-passive damping treatments in time domain - application to sandwich beams. Journal of Intelligent Material Systems and Structures 2005; 16(1):33-45.
18. Soedel W. Vibrations of Shells and Plates (3rd edn). Marcell Dekker: New York, 2004.
19. Reddy JN. Mechanics of Laminated Composite Plates: Theory and Analysis. CRC Press: Boca Raton, FL, 1997.
20. Saravanos DA. Mixed laminate theory and finite element for smart piezoelectric composite shell structures. AIAA Journal 1997; 35(8):1327-1333.
21. Lammering R, Mesecke-Rischmann S. Multi-field variational formulations and related finite elements for piezoelectric shells. Smart Materials and Structures 2003; 12(6):904-913.
22. Shu C. Free vibration analysis of composite laminated conical shells by generalized differential quadrature. Journal of Sound and Vibration 1996; 194(4):587-604.
23. Lana KY, Loy CT Analysis of rotating laminated cylindrical shells by different thin shell theories. Journal of Sound and Vibration 1995; 186(1):23-35.
24. Zhang XM. Vibration analysis of cross-ply laminated composite cylindrical shells using the wave propagation approach. Applied Acoustics 2001; 62(11):1221-1228.
25. Deü J-F, Benjeddou A. Free-vibration analysis of laminated plates with embedded shear-mode piezoceramic layers, International Journal of Solids and Structures 2005; 42(7):2059-2088.
26. Loy CT, Lam KY, Reddy JN. Vibration of functionally graded cylindrical sheIls. International Journal of Mechanical Sciences 1999; 41(3):309-324.
27. Larbi W, Deü J-F. Solution tridimensionnelle pour l'analyse des vibrations d'une structure cylindrique avec fluide interne. In Proceedings of the First International Congress Design and Modelling of Mechanical Systems, CMSM'2005, Hammamet, Tunisia, 23-25 March 2005.