Flexural vibration of Piezocomposite solid cylinders

V.K. Nelson*, Nehru Erode Santhanam**
* Department of Mathematics, Government College of Engineering, Salem, Tamilnadu, India.
** Department of Mathematics, IBRI College of Technology, IBRI, Sultanate of Oman.
Periodicity:May - July'2008
DOI : https://doi.org/10.26634/jfet.3.4.602

Abstract

Flexural vibration of an infinite piezocomposite solid cylinder made of inner solid and outer hollow piezoelectric layer of 6mm-class bonded together by an isotropic CFRP (Carbon fiber-reinforced plastics) layer is studied by using Mathematical equations. The frequency equations are obtained for the traction free surfaces with continuity condition at the interfaces. Numerical results are carried out for the cylinder PZT4/CFRP/PZT4 and the dispersion curves are compared with that of a solid piezoelectric cylinder and a similar model embedding a linear elastic material with voids (LEMV).The proposed method is to analyze the attenuation and damping effect of the said material.

Keywords

Flexural Vibration, Piezoelectric, solid cylinders, Composite, CFRP, LEMV

How to Cite this Article?

V.K. Nelson and Nehru E. S (2008). Flexural vibration of Piezocomposite solid cylinders. i-manager’s Journal on Future Engineering and Technology, 3(4), 27-32. https://doi.org/10.26634/jfet.3.4.602

References

[1]. Burt J.A. (1978), "The electro acoustic sensitivity of radially polarized ceramic cylinders as a function of frequency", J. Acoust. Soc. Am, Vol.64, pp. 1640- 1644.
[2]. Dokmeci M.C. (1980), "Recentadvances: Vibrations of piezoelectric materials", Int. J. Eng. Sci, Vol.18, pp.431-448
[3]. Yang S. and Ngoi B. (2000), “Control of Beams by Piezoelectric Actuators”, AIAA Journal., Vol.38, No. 12, pp.2292-2298.
[4]. Young K.K., Moon H.M., Park H.C. and Agrawal B.(1998), "Multi-Modal Vibration control of Laminated Composite Plates Using Piezoceramic Sensors/Actuators", J. Intelligent Material Systems and Structures, Vol. 9, pp.988-990.
[5]. Raja S., Prathap G. and Sinha RK. (2002), "Active Vibration Control of Composite Sandwich Beams with Distributed Piezoelectric Extension-Bending and Shear Actuators", Smart Materials and Structures, Vol. 11, No. 1, pp.63-71.
[6]. Montero De Espinosa F., Chavez J. J .A., Salazar J., TuroT., Chinchurreta F. and Garcia-hernandezM. (2004), "Air-coupled piezoelectric array transducers for ndt applications", 16th WCNDT2004 - World Conference on NDT, Montreal, Canada.
[7]. Antonioarnau (2004), "Piezoelectric Transducers and Applications", Springer-Verlag, Berlin, Heidelberg.
[8]. Dennis L. Polla and Lorraine F. Francis (1998), “Processing and characterization of piezoelectric materials and integration into microelectromechanical systems”. Annual Review of Materials Science, Vol.28, pp.563-597.
[9], Goldfarb M. and Jones L.D. (1999), “On the Efficiency of Electric Power Generation with Piezoelectric Ceramic”, ASME Journal of Dynamic Systems, Measurement, andControl,\/o\.'\2'\, pp.566-5 71,
[10]. Crawley E.F. and De Luis J. (1987), 'Use of Piezoelectric Actuators as Elements of Intelligent Structures', AIAA Journal, Vol.25, pp. 1373-1385.
[11]. Hagood N.W., Chung W.H. and Von Flotow A. (1990), "Modeling of Piezoelectric Actuator Dynamics for Active Structural Control", Journal of Intelligent Materials Systems and Structures, Vol. 1, pp. 327-354.
[12]. Ottman G.K., Hofmann H., BhattA. C. and Lesieutre G. A.(2002), "Adaptive Piezoelectric Energy Harvesting Circuit for Wireless, Remote Power Supply", IEEE Transactions on Power Electronics,Votl 7, pp. 669-676.
[13]. Mai A.K.,Xu RC. and Bar-Cohen Y. (1989), “Analysis of leaky lamb waves in bonded plates”', Int. J. Eng. Sol., Vol.27, pp.779-791.
[14]. Tzou H.S. and Anderson G.L. (1992), 'Intelligent Structural system', Kluwer Academic Publishers, Norwell, MA.
[15]. Takagikiyoshi, Sato Hiroshi, Saigo Muneharu and Smith Ralph C. (2005), “Damage detection and gain- scheduled control of CFRP smart board mounting the metal core assisted piezoelectric fiber". Modeling, signal processing, and control. Conference, San Diego CA, ETATS-UNIS, Vol.5757, pp.471 -480.
[16]. Toshio Tanimoto (2002), "Carbon-fiber reinforced plastic passive composite damper by use of piezoelectric polymer/ceramic", Jpn. J. Appl. Phys. Vol.41, pp.7166-7169.
[17]. Paul H.S. and Nelson V.K. (1994), "Axisymmetric vibration of piezoelectric composite cylinders", Proc. Third International congress on Air and Structure- borne Sound and Vibration, Vol. 1, pp. 137-144.
[18]. Paul H.S. and Nelson V.K. (1996), “Axisymmetric vibration of piezocomposite hollow circular cylinder", ActaMechanlca, Vol. 116, pp.213-222.
[19], Paul H.S. and Nelson V.K. (1996), “Flexural vibration of piezocomposite hollow cylinder”, J. Acoust. Soc. Am., Vol.99, pp.309-313.
[20]. Paul H.S. and Nelson V.K. (1995), “Wave propagation in piezocomposite plates”, Proc. Indian Nat. Sci. Acad., pt-A, pp.221 -228.
[21]. Sinha B.K., Plona T.J., Kostek S. and Chang S.K (1992), “Axisymmetric wave propagation in fluid - loaded cylindrical shells .Part-1: Theory, part-ll: Theory vesus experiment", J, Acoust. Soc. Am, Vol.92, pp.l 132-1155.
[22]. Paul. H.S (1966), “Vibrations of circular cylindrical shells of piezoelectric silver iodide crystals", J.Acoust.Soc.Am, Vol.40, pp. 1077-1080.
[23]. Ashby M.F. And Jones D.R.H. (1986), "Engineering Materials2", PergamonPress, London.
[24]. Brelincourt D.A. Curran D.R and Jafee H (1964),Physical acoustics', Vol. 1, Academic Press, New York.
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Pdf 35 35 200 20
Online 35 35 200 15
Pdf & Online 35 35 400 25

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.