Free vibration analysis of isotopic rectangular plate with one edge free of support (CSCF and SCFC plate)

  • Abstract
  • Keywords
  • References
  • PDF
  • Abstract

    The paper presents a theoretical formulation based on Ibearugbulems shape function and application of Ritz method. In this study, the free vibration of simply supported plate with one free edge was analyzed. The Ibearugbulems shape function derived was substituted into the potential energy functional, which was minimized to obtain the fundamental natural frequency. Aspect ratios from 0.1 to 2.0 with 0.1 increments were considered. The values of fundamental natural frequencies of the first mode were determined for different aspect ratio. For aspect ratio of 1.0, the value of non-dimensional parameter of fundamental natural frequency obtained was 23.86. Comparison was made for values of non-dimensional parameter of fundamental natural frequencies obtained in this study with those of previous research works. It was seen that there is no significant difference between values obtained in this study with those of previous studies.

    Keywords: fundamental natural frequency; Ibearugbulems shape function; CSCF plate; Ritz method; SCFC plate.

  • References

    1. Leissa, A. W. The Free Vibration of Rectangular Plates. Journal of Sound and vibration, Vol.31 (3), 1973 Pp. 257 293.
    2. Gorman, D. J. (1982). Free Vibration Analysis of Rectangular Plates. North Holland: Elsevier.
    3. Ibearugbulem, O. M. Application of a direct variational principle in elastic stability of rectangular flat thin plates. Ph. D. thesis submitted to Postgraduate School, Federal University of Technology, Owerri, 2012.
    4. Chakraverty, S. (2009). Vibration of Plates. Boca Raton: CRC Press Taylor & Francis Group.
    5. A. Hasani Baferani, A.R. Saidi, H. Ehteshami. Accurate solution for free vibration analysis of functionally graded thick rectangular plates resting on elastic foundation, journal on Composite Structures. 2011
    6. A.R. Saidi and S.R. Atashipour, Analytical Solution of Free Vibration of Thick Transversely Isotropic Rectangular Plates, Based on First Order Shear Deformation Theory. International journal.
    7. Bhat, R.B., Laura, P.A.A., Gutierrez, R.C., Cortinez, V.H., and Sanzi, H.C. Numerical experiments on the determination of natural frequencies of transverse vibrations of rectangular plates of non-uniform thickness. Journal of Sound and Vibration, 1990, 138: 205219.
    8. Narita, Y. Combinations for the Free-Vibration Behaviours of Anisotropic Rectangular Plates under General Edge Conditions, ASME J. Appl.Mech., 67, 2000, pp. 568573.
    9. Leissa, A.W. and Mohamad, S.Q. Vibrations of Continuous Systems, New York: McGraw-Hill, 2011.
    10. Joseph, R. and Barton, O. (2009). Characterizing the Vibration of an Elastically Point Supported Rectangular Plate Using Eigen-Sensitivity Analysis. Thin Walled Structures, Vol. 10 (1016).




Article ID: 1474
DOI: 10.14419/ijet.v3i1.1474

Copyright © 2012-2015 Science Publishing Corporation Inc. All rights reserved.