Axisymmetric Vibration of Pyrocomposite Hollow Cylinder
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32870
Axisymmetric Vibration of Pyrocomposite Hollow Cylinder

Authors: V. K. Nelson, S. Karthikeyan


Axisymmetric vibration of an infinite Pyrocomposite circular hollow cylinder made of inner and outer pyroelectric layer of 6mm-class bonded together by a Linear Elastic Material with Voids (LEMV) layer is studied. The exact frequency equation is obtained for the traction free surfaces with continuity condition at the interfaces. Numerical results in the form of data and dispersion curves for the first and second mode of the axisymmetric vibration of the cylinder BaTio3 / Adhesive / BaTio3 by taking the Adhesive layer as an existing Carbon Fibre Reinforced Polymer (CFRP) are compared with a hypothetical LEMV layer with and without voids and as well with a pyroelectric hollow cylinder. The damping is analyzed through the imaginary parts of the complex frequencies.

Keywords: Axisymmetric vibration, CFRP, hollow cylinders, LEMV, pyrocomposite

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1479


[1] De Carvalho. A. A and Alter. A. J, "Measurement of X-ray intensity in the medical diagnosis range by a ferroelectric detector, ultrasonics, Ferroelectrics and Frequency control, IEEE transactions on volume 44, issue 6, Nov.1997, pages(s): 1198 - 1203.
[2] Vermeiji. G. F," The Pyroelectric vidicon camera as a medical thermograph", J. Med. Eng. Technology, 1979, Jan 3(1), 5-11.
[3] Black. C. M, Clark. R. P, Darton. K, Goff MK, Norman TD, Spikes HA, "A Pyroelectric thermal imaging system for use in Medical Diagnosis", J. Biomed. Eng, 1990, Jul 12(4),281 - 6.
[4] Paul. H. S and Raman. G. V, "Wave propagation in a pyroelectric cylinder of arbitrary cross section with a circular cylindrical cavity", J. Acoust. Soc. Am, 93, 1175(1993)
[5] Paul. H. S and Raman. G. V, "Wave propagation in a hollow Pyroelectric circular cylinder of crystal class 6", Acta Mechanica, 87, 37-46 (1991)
[6] Paul. H. S and Nelson. V. K, "Wave propagation in a pyroelectric cylinder of inner and outer arbitrary shape", J. Acous. Soc .Am, 102, 301(1997)
[7] Paul H. S. and Nelson V. K., "Axisymmetric Vibration of Piezocomposite Hollow Circular cylinder", Acta Mechanica, Vol.99, 309-313, 1996.
[8] Vasudeva. R. Y. and Govinda Rao. P, "Influence of voids in interace zones on lamb wav propagation in composite plates", J. Acoust.soc.Am., 89(1991) 516 - 522.
[9] Vasudeva. RY and Govinda Rao. P, "Influence of voids in interface zones on lamb mode spectra in fiber - reinforced composite laminates",J. Appl. Phys 71(1991), 612 - 619.
[10] Cowin S. C. and Nunziato J. W.,"Linear Elastic Materials with voids", J. Elasticity 13 (1983), 125-147.
[11] Harper B D, Staab G H and Chen R C, "A Note on the Effects of Voids Upon the Hygral and Mechanical properties of AS4/3502 Graphite/Epoxy", J. composite material, 21(1987),280 - 289.
[12] Voorhees E J V and Green D J, "Mechanical Behavior of a Ceramic Sandwich Composite System", J. composite materials, 26(1992) 1664 - 1677.
[13] Takagikiyoshi, Sato Hiroshi, Saigo Muneharu, and Smith Ralph C.,Modeling, signal processing, and control. Conference, San Diego CA, ETATS-UNIS, Vol.5757 (2005), 471 - 280.
[14] Mindlin. R. D," On the equations of motion of piezoelectric crystals", Problems in Continuum Mechanics, SIAM, 282 - 290 (1961).
[15] Mindlin. R. D, "Equations of High Frequency vibrations of Thermo Piezoelectric crystal plate",Int.J.Solids structures, 1974,Vol.10, PP 625-637
[16] Puri. P and Cowin. S. C, "Plane waves in Linear elastic materials with voids", J. Elasticity, 15, 185 - 191, 1985.
[17] Cowin. S. C and Puri. P., "The classical pressure vessal problems for linear elastic material with voids. J. Elasticity, 13 (1983), 157 - 163.
[18] Atkin. R. J, Cowin. S. C and Fox. N, "On boundary conditions for polar materials", zeitschrift f├╝r angewandte Mathematik und phhysik, 28, 1017, 1977.
[19] Jain M. K., Iyengar S. R. K. and Jain R. K., " Numerical Methods for Scientific and Engineering Computation", Wiley, New York, 1987, 2nd ed.
[20] Berlincourt. D. A., Curran.D.R, Jaffe. H, "Physical acoustics", Vol.1, Pt.A, pp.204 - 206, New York, Academic 1964.
[21] Condan. E. V., Odishaw. H, "American institute of physics handbook", pp.9-118. New York, McGraw Hill 1972.
[22] Ashby. M. F and Jones. D. R. H, "Engineering Materials 2", Pergamon Press, 1986.
[23] Ji Wang, "On the Correction of Higher-Order Mindlin Plate Theory ", The 41st Annual SES Technical Meeting (2004), Lincoln, Nebraska.
[24] Ploss B., Wong Y.W. and Shin F. G., "Pyroelectric Ceramic/Polymer Composite with Electrically Conducting Matrix Material", Ferroelectrics, Vol. 35, 164-169, 2005.
[25] Ploss B., "Improving the Pyroelectric Coefficient of Ceramic/Polymer Composite by Doping the Polymer Matrix", Ferroelectrics, Vol.338, 145 - 151, 2006.