Flexural vibration of pyrocomposite solid cylinder
DOI:
https://doi.org/10.11113/mjfas.v4n1.36Keywords:
Flexural vibration, pyrocomposite, solid cylinders, LEMV, CFRP,Abstract
Flexural vibration of an infinite Pyrocomposite circular cylinder made of inner solid and outer hollow pyroelectric layer belonging to 6mm-class bonded together by a Linear Elastic Material with Voids (LEMV) is studied. The exact frequency equation is obtained for the traction free outer surface with continuity conditions at the interfaces.Numerical results in the form of data and dispersion curves for the first and second mode of the flexural vibration of the cylinder ceramic - 1 / Adhesive / ceramic - 2 by taking the adherents as BaTio3 and the adhesive layer as an existing Carbon Fibre Reinforced Polymer (CFRP) or as a hypothetical LEMV layer with and without voids are compared with a pyroelectric solid cylinder. The damping is analyzed through the imaginary part of the complex frequencies.
References
Lang S. B, “Guide to the literature of piezoelectricity and pyroelectricity, Ferroelectrics” 142, (3-4), 263-379, 1993 and 146, (1-4), 153-369, 1993.
Hasegawa J and Takaya K , “Development of microcomputer- aided pyroelectric thermal imaging system and application to pain management”, Medical and Biological Engg. & Computing, Vol(24) no(3)/May 1986, 275-280.
Dimmock J O, “Pyroelectric Infrared detectors and applications”, Journal of Electronic materials, Vol(1), no(2)/May 1972, 255-309.
Hiroyuki Ida and Jun Kawai, “Identification of steel by X-ray fluorescence analysis with a pyroelectric X-ray generator”, Analytical and Bioanalytical Chemistry, Vol.379, no(4)/2004, 735 -738.
Merabet E K, Yuen H K, Grote W A and Deppermann K L,”A high sensitivity titration calorimeter using pyroelectric sensors”, Journal of Thermal Analysis and Calorimetry, vol. (42), no(5)/Nov,1994
Batra A. K., Simmons M., Padmaia Guggila, Aggarwal M. D., and Lal R. B., “Studies on DTGS: PVDF Composites for Pyroelectric Infrared Detectors”, Integrated Ferroelectric, Vol. 63, 1, 2004, 161-163.
Newnham R. E., Skinner D. P., Klicker K. A., Bhalla A. S., Hardiman B. and Gururaja T. R.,” Ferroelectric Ceramic-Plastic composites for piezoelectric and pyroelectric applications”, Ferroelectrics, Vol. 27, Jan 1980, 49-55.
Dietze M., Krause J., Solterbeck C.,-H., and Es-Souni M.,” Thick film polymer-ceramic composites for pyroelectric applications”, J.Appl. Phy., Vol.101, 5, 2007, 054113-054113-7.
Ploss B., Wong Y. W., and Shin F. G., “Pyroelectric Ceramic/Polymer Composite with Electrically Conducting Matrix Material”, Ferroelectrics, Vol. 325, Sep. 2005, 165-169.
Ploss B.,” Improving the pyroelectric Coefficient of Ceramic/Polymer Composite by Doping the Polymer Matrix”, Ferroelectrics, Vol. 338, August 2006, 145-151.
Paul H S and Raman G V, “Vibrations of Pyroelectric plates”, J. Acoust. Soc. Am, 90 (4), 1991.
Paul. H. S and Raman. G. V, “Wave propagation in a hollow Pyroelectric circular cylinder of crystal class 6”, Acta Mechanica, 87, 1991, 37-46.
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, 1993, 1175.
Paul H. S. and Nelson V. K., “Flexural Vibration of Piezocomposite Hollow Circular cylinder”, J.Acoust.Soc.Am., Vol.99, 1996, 309-313.
Vasudeva. R. Y. and Govinda Rao. P, “Influence of voids in interface zones on lamb wave propagation in composite plates”, J. Acoust.soc.Am., 89, 1991, 516 – 522.
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.
Cowin S. C. and Nunziato J. W.,”Linear Elastic Materials with voids”, J. Elasticity, 13, 1983, 125-147.
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.
Voorhees E J V and Green D J, “Mechanical Behavior of a Ceramic Sandwich Composite System”, J. composite materials, 26, 1992, 1664 – 1677.
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.
Mindlin. R. D,” On the equations of motion of piezoelectric crystals”,
Problems in Continuum Mechanics, SIAM, , 1961, 282 – 290.
Mindlin. R. D, “Equations of High Frequency vibrations of Thermo
Piezoelectric crystal plate”, Int. J. Solids structures, Vol.10, 1974, PP 625-637.
Cowin S. C. and Puri P.,” The classical pressure vessel problems for linear elastic materials with voids”, J. Elasticity, 13, 1983, 157- 163.
Atkin. R. J, Cowin. S. C and Fox. N, “On boundary conditions for polar materials”, zeitschrift für angewandte Mathematik und phhysik, 28, 1977, 1017.
Jain M. K., Iyengar S. R. K. and Jain R. K., “Numerical Methods for Scientific and Engineering Computation”, Wiley, New York, 2nd ed, 1987.
Berlincourt. D. A., Curran.D.R, Jaffe. H, “Physical acoustics”, Vol.1, Pt.A, pp.204 – 206, New York, Academic 1964.
Condan. E. V., Odishaw. H, “American institute of physics handbook”, pp.9-118. New York, McGraw Hill 1972.
Puri P. and Cowin S. C., “Plane waves in linear elastic materials with voids”, J. Elasticity, 15, 1985, 167 – 183.
Ashby. M. F and Jones. D. R. H, “Engineering Materials 2”, Pergamon Press, 1986.
