This content is not included in your SAE MOBILUS subscription, or you are not logged in.

Application of Boundary Characteristic Orthogonal Polynomials on Vibration of Circular Plates with Circular Eccentric Holes

Journal Article
2011-01-1688
ISSN: 1946-3995, e-ISSN: 1946-4002
Published May 17, 2011 by SAE International in United States
Application of Boundary Characteristic Orthogonal Polynomials on Vibration of Circular Plates with Circular Eccentric Holes
Sector:
Topic:
Citation: Saeedi, K., Leo, A., Bhat, R., and Stiharu, I., "Application of Boundary Characteristic Orthogonal Polynomials on Vibration of Circular Plates with Circular Eccentric Holes," SAE Int. J. Passeng. Cars – Mech. Syst. 4(2):1266-1276, 2011, https://doi.org/10.4271/2011-01-1688.
Language: English

References

  1. Leissa, A.W. “Vibration of plates,” National Aeronautics and Space Administration Washington D.C. 1969
  2. Khurasia, H.B. Rawtani, S. “Vibration Analysis of Circular Plates with Eccentric Hole,” Journal of Applied Mechanics - Transaction of ASME 45 1 215 217 1978
  3. Lin, W.H. “Free Transverse Vibrations of Uniform Circular Plates and Membranes with Eccentric Holes,” Journal of Sound and Vibration 81 3 425 435 1982
  4. Singh, G.S. Vishen, A. Srivastava, G.P. Kothari, L.S. “Comments on ‘Free Transverse Vibrations of Uniform Circular Plates and Membranes with Eccentric Holes’,” Journal of Sound and Vibration 100 1 141 144 1985
  5. Cheng, L. Li, Y.Y. Yam, L.H. “Vibration Analysis of Annular-like Plates,” Journal of Sound and Vibration 262 5 1153 1170 2003
  6. Sonzogni, V. Gutierrez, R.H. Laura, P.A.A. “A Note on Numerical Experiments in Transverse Vibrations of Annular Circular Plates,” Journal of Sound and Vibration 191 1 167 170 1996
  7. Laura, P.A.A. Masia, U. Avalos, D.R. “Small Amplitude, Transverse Vibrations of Circular Plates Elastically Restrained against Rotation with an Eccentric Circular Perforation with a Free Edge,” Journal of Sound and Vibration 292 3-5 1004 1010 2006
  8. Laura, P.A.A. Avalos, D.R. “Small Amplitude, Transverse Vibrations of Circular Plates with an Eccentric Rectangular Perforation Elastically Restrained against Rotation and Translation on Both Edges,” Journal of Sound and Vibration 312 4-5 906 914 2008
  9. Lee, W.M. Chen, J.T. Lee, Y.T. “Free Vibration Analysis of Circular Plates with Multiple Circular Holes Using Indirect BIEMs,” Journal of Sound and Vibration 304 3-5 811 830 2007
  10. Lee, W.M. Chen, J.T. “Analytical Study and Numerical Experiments of True and Spurious Eigensolutions of Free Vibration of Circular Plates Using Real-part BIEM,” Engineering Analysis with Boundary Elements 32 5 368 387 2008
  11. Gutierrez, R.H. Rossi, R.E. Laura, P.A.A. “Numerical Experiments on a Vibrating Circular Plate of Non-uniform Thickness and a Concentric, Inner, Circular Support,” Journal of Sound and Vibration 227 4 873 877 1999
  12. Zhou, D. Au, F.T.K. Cheung, Y.K. Lo, S.H. “Three-dimensional Vibration Analysis of Circular and Annular Plates via the Chebyshev-Ritz Method,” International Journal of Solids and Structures 40 12 3089 3105 2003
  13. Bhat, R.B. “Flexural Vibration of Polygonal Plates Using Characteristic Orthogonal Polynomials in Two Variables,” Journal of sound and vibration 114 1 65 71 1987
  14. Rajalingham, C. Bhat, R.B. “Axisymmetric Vibration of Circular Plates and Its Analog in Elliptical Plates Using Characteristic Orthogonal Polynomials,” Journal of Sound and Vibration 161 1 109 118 1993
  15. Rajalingham, C. Bhat, R.B. Xistris, G.D. “Vibration of Clamped Elliptical Plates Using Exact Circular Plate Modes as Shape Functions in Rayleigh-Ritz Method,” International Journal of Mechanical Sciences 36 3 231 246 1994
  16. Chakraverthy, S. Bhat, R.B. Stiharu, I. “Vibration of Annular Elliptic Plate Orthotropic Plates Using Two Dimensional Orthogonal Polynomials,” International of Applied Mechanics and Engineering 5 4 843 866 2000

Cited By