Vibroacoustic response and active control of a fluid-filled functionally graded piezoelectric material composite cylinder

Abstract

The linear three-dimensional piezoelasticity theory in conjunction with the versatile transfer matrix approach is employed to investigate the steady-state nonaxisymmetric fluid–structure-coupled vibrations of an arbitrarily thick bilaminate simply supported hollow cylinder of finite length, composed of an inner layer of orthotropic functionally graded material perfectly bonded to an outer layer of radially/axially/circumferentially polarized functionally graded piezoceramic material. The cylinder is filled with a compressible nonviscous fluid and may be subjected to arbitrary time-harmonic on-surface mechanical drives. The analytical results are illustrated with numerical examples in which water-filled homogeneous PZT4–steel composite cylinders are driven by harmonic external concentrated or distributed radial surface loads. When the outer piezoelectric layer is operating in the receiving (sensing) mode, the frequency spectrums of the induced voltage, stress components, and on-axis acoustic pressure are calculated and discussed for the selected loading configurations. Also, when the piezolayer operates in the active vibration mode, the effects of polarization direction and number of control modes on the voltage required for partial or complete cancellation of the on-axis internal pressure are investigated. Limiting cases are considered, and the validity of results is established by comparison with the data in the existing literature as well as with the aid of a commercial finite element package.

Keywords

sound radiation control piezocomposite shell cylindrical vessel fluid–structure interaction

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References

ABAQUS (2008). Analysis User’s Manual Version 6.10 On-line Documentation.

Adelman

Stavsky

Segal

(1976) Radial vibrations of axially polarized piezoelectric ceramic cylinders. Journal of the Acoustical Society of America 57: 356–360.

Axisa

Antunes

(2006) Modelling of Mechanical Systems: Fluid–Structure Interaction, Volume 3. London: Butterworth-Heinemann.

Brevart

Fuller

(1993) Active control of coupled wave propagation in fluid-filled elastic cylindrical shells. Journal of the Acoustical Society of America 94: 1467–1475.

Chen

Bian

Ding

(2004a) Three dimensional vibration analysis of fluid filled orthotropic FGM cylindrical shells. International Journal of Mechanical Science 46: 159–171.

Chen

Bian

(2004b) 3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid. International Journal of Solids and Structures 41: 947–964.

Chen

Ikeda

Murakami

(2003) Fabrication of composite pipes by multi-billet extrusion technique. Journal of Materials Processing Technology 137: 10–16.

Clark

Fuller

(1994) Active control of structurally radiated sound from an enclosed finite cylinder. Journal of Intelligent Material Systems and Structures 5: 379–391.

Ding

Chen

(2001) Three Dimensional Problems of Piezoelectricity. New York: Nova Science Publishers.

10.

Ding

Chen

Guo

. (1997) Free vibrations of piezoelectric cylindrical shells filled with compressible fluid. International Journal of Solids and Structures 34: 2025–2034.

11.

Hasheminejad

Ahamdi-Savadkoohi

(2010) Vibro-acoustic behavior of a hollow FGM cylinder excited by on-surface mechanical drives. Composite and Structures 92: 86–96.

12.

Hasheminejad

Rajabi

(2008) Scattering and active acoustic control from a submerged piezoelectric-coupled orthotropic hollow cylinder. Journal of Sound and Vibration 318: 50–73.

13.

Hopkins

(1995) Transmission pipelines: how to improve their integrity and prevent failures. In: Proceedings of the 2nd international pipeline technology conference, Belgium, Amsterdam, 11–14 September 1995 vol. 1, pp.683–706. Amsterdam: Elsevier.

14.

Huang

(2000) Application of constrained layer damping on the cylindrical shells conveying fluid. Journal of the Chinese Society of Mechanical Engineers 21: 189–200.

15.

Jin

Zhang

(2010) Numerical analysis for active control of coupled vibration of fluid-filled elastic cylindrical shell. In: International conference on mechanic automation and control engineering, MACE2010, Wuhan, China, 26–28 June 2010, Art. no. 5536723, pp.6054–6057, Institute of Electrical and Electronics Engineers (IEEE), Washington, DC, USA.

16.

Krishna

Ganesan

(2007) Studies on fluid-filled and submerged cylindrical shells with constrained viscoelastic layer. Journal of Sound and Vibration 303: 575–595.

17.

Lalande

Chaudhry

Rogers

(1995) Impedance-based modeling of actuators bonded to shell structures. Journal of Intelligent Material Systems and Structures 12: 647–660.

18.

Larbi

Deü

(2011) A 3D state-space solution for free-vibration analysis of a radially polarized laminated piezoelectric cylinder filled with fluid. Journal of Sound and Vibration 330: 162–181.

19.

Leissa

(1973) Vibration of Shells, NASA SP-288. Washington, DC: U.S. Government Printing Office.

20.

Lester

Lefebvre

(1993) Piezoelectric actuator models for active sound and vibration control of cylinder. Journal of Intelligent Material Systems and Structures 4: 295–306.

21.

Liu

Zhang

Hua

. (2008) Vibration control of fluid-filled prismatic shell with active constrained layer damping treatments. Chinese Journal of Mechanical Engineering (English Edition) 21: 101–105.

22.

Niezrecki

Cudney

(2001) Feasibility to control launch vehicle internal acoustic using piezoelectric actuators. Journal of Intelligent Material Systems and Structures 12: 647–660.

23.

Pierce

(1991) Acoustics: An Introduction to its Physical Principles and Applications. New York: American Institute of Physics.

24.

Ramasamy

Ganesan

(1999) Vibration and damping analysis of fluid filled orthotropic cylindrical shells with constrained viscoelastic damping. Computers and Structures 70: 363–376.

25.

Saravanan

Ganesan

Ramamurti

(2000) Vibration and damping analysis of multilayered fluid filled cylindrical shells with constrained viscoelastic damping using modal strain energy method. Computers and Structures 75: 395–417.

26.

Shah

Mahmood

Naeem

. (2011) Vibration characteristics of fluid-filled cylindrical shells based on elastic foundations. Acta Mechanica 216: 17–28.

27.

Ventsel

Naumenko

Strelnikova

. (2010) Free vibrations of shells of revolution filled with a fluid. Engineering Analysis with Boundary Elements 34: 856–862.

28.

Xiang

Yuan

Huang

. (2011a) A novel matrix method for coupled vibration and damping effect analyses of liquid-filled circular cylindrical shells with partially constrained layer damping under harmonic excitation. Applied Mathematical Modelling 35: 2209–2220.

29.

Xiang

Yuan

Huang

. (2011b) The coupled vibration and vibration controlling of liquid-filled circular cylindrical shells with active constrained layer damping. Journal of Vibration Engineering 24: 151–157.

30.

Chen

(2009) Wave characteristics in functionally graded piezoelectric hollow cylinders. Archive of Applied Mechanics 79: 807–824.

31.

Yuan

Xiang

Huang

. (2009) A new integrated state transfer matrix method for coupled vibration of fluid-filled circular cylindrical containers with partially passive constrained layer damping treatment and analysis on damping effects under ground motion. Journal of Vibration and Shock 28: 41–49.

32.

Zhang

Tong

Zhang

(2006) Finite element modelling of a fluid-filled cylindrical shell with piezoelectric damping. Journal of Vibration Engineering 19: 24–30.

33.

Zhang

Tong

. (2005) Finite element modeling of a fluid filled cylindrical shell with active constrained layer damping. Journal of Shanghai Jiaotong University (Science) 10: 449–455.