Axisymmetric Vibration of Pyrocomposite Hollow Cylinder
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.
[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.
[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.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:61671", author = "V. K. Nelson and S. Karthikeyan", title = "Axisymmetric Vibration of Pyrocomposite Hollow Cylinder", abstract = "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", volume = "2", number = "1", pages = "44-7", }
