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THE NONLINEAR AXISYMMETRIC VIBRATIONS OF CIRCULAR PLATES WITH LINEARLY VARYING THICKNESS UNDER RANDOM EXCITATION

  • Vedat Doğan
Conference paper
  • 1.3k Downloads
Part of the Springer Proceedings in Physics book series (SPPHY, volume 111)

Abstract

In this study, the nonlinear axisymmetric behavior of circular isotropic plates with linearly varying thickness under random excitation is investigated. It is assumed that plate response is axisymmetric when plate is subjected to axisymmetric random loading. The Berger type nonlinearity is used to obtain the governing equations of motion for clamped circular plates. A Monte Carlo simulation of stationary random processes, single-mode Galerkin-like approach, and numerical integration procedures are used to develop nonlinear response solutions. Response time histories, root mean squares and spectral densities are presented for different random pressure levels. Parametric results are also presented. Linear responses are included to investigate the nonlinear effects.

Keywords

Circular Plate Random Excitation Stationary Random Process Response Time History Normal Boundary Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Chang T. P. (1994) Random Vibration of a geometrically nonlinear orthotropic circular plate, Journal of Sound and Vibration 170 426–430.CrossRefADSzbMATHGoogle Scholar
  2. Dumir P. C., Nath Y., Gandhi M. L. (1984) Non-linear axisymmetric transient analysis of orthotropic thin annular plates with a rigid central mass, Journal of Sound and Vibration 97 387–397.CrossRefADSGoogle Scholar
  3. Efstathiades G. J. (1971) A new approach to the large-deflection vibrations of imperfect circular disk using Galerkin's procedure, Journal of Sound and Vibration 16 231–253.CrossRefADSzbMATHGoogle Scholar
  4. Ghosh S. K. (1986) Large Amplitude Vibrations of Clamped Circular Plates of Linearly Varying Thickness, Journal of Sound and Vibration 104 371–375.CrossRefADSGoogle Scholar
  5. Hadian J., Nayfeh A. D. (1990) Modal Interaction in Circular Plates, Journal of Sound and Vibration 142 279–292.CrossRefMathSciNetADSGoogle Scholar
  6. Liu C. F. Chen G. T. (1996) Geometrically Nonlinear Axisymmetric Vibrations of Polar Orthotropic Circular Plates, Int. J. Mech. Sci. 38 325–333.CrossRefzbMATHGoogle Scholar
  7. Nayfeh A. H., Pai P. F. (2004) Linear and Nonlinear Structural Mechanics, John Wiley Sons, New Jersey.zbMATHCrossRefGoogle Scholar
  8. Ramachandran J. (1975) Nonlinear vibrations of circular plates with linearly varying thickness, Journal of Sound and Vibration 38 225–232.CrossRefADSzbMATHGoogle Scholar
  9. Sathyamoorthy M. (1996) Large Amplitude Circular Plate Vibration with Transverse Shear and Rotatory Inertia Effects, Journal of Sound and Vibration 194 463–469.CrossRefADSGoogle Scholar
  10. Sathyamoorthy M. (1997) Nonlinear Analysis of Structures, CRC Press, Boca Raton, Florida.Google Scholar
  11. Shinozuka M., Jan C. M. (1972) Digital simulation of random processes and its applications, Journal of Sound and Vibration 25 111–128.CrossRefADSGoogle Scholar
  12. Smaill J. S. (1990) Dynamic Response of Circular Plates on Elastic Foundations: Linear and Non-Linear Deflection, Journal of Sound and Vibration 139 487–502.CrossRefADSGoogle Scholar
  13. Sridhar S., Mook D. T., Nayfeh A. H. (1975) Non-linear Resonances in the forced responses of plates Part I: Symmetric Responses of Circular Plates, Journal of Sound and Vibration 41 359–373.CrossRefADSzbMATHGoogle Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • Vedat Doğan
    • 1
  1. 1.Department of Aeronautical Engineeringİstanbul Technical UniversityİstanbulTurkey

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