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Effects of Temperature Changes and Large Amplitude on Vibrations of Composite Triangular Plates

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Composite Structures 4
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Abstract

This paper is concerned with the nonlinear static and dynamic analysis of composite triangular plates subjected to thermal loading. The nonlinearities considered here arise due to large deformation resulting in nonlinear strain—displacement relations. Equations to represent the nonlinear behavior of composite plates are derived and solutions to these coupled set of governing nonlinear equations are reported. Numerical results indicate some interesting influences of temperature, amplitude of vibration, and geometric and material parameters of the composite plates. These parameters also have considerable effect on the nonlinear load—deflection behavior.

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References

  1. Chia, C. Y., Nonlinear Analysis of Plates, New York, McGraw-Hill, 1980.

    Google Scholar 

  2. Sathyamoorthy, M., Recent research in nonlinear plate vibrations, The Shock and Vibration Digest (1987).

    Google Scholar 

  3. Sunakawa, M. and Uemura, M., Deformation and thermal stresses in a rectangular plate subjected to aerodynamic heating, Report No. 359, Aeronautical Research Institute, University of Tokyo, 1960.

    Google Scholar 

  4. Pal, M. C., Large deflections of heated circular plates, Acta Mechanica, 8 (1969), 82–103.

    Article  Google Scholar 

  5. Pal, M. C., Static and dynamic nonlinear behavior of heated orthotropic circular plates, International Journal of Nonlinear Mechanics, 8 (1973), 489–504.

    Article  Google Scholar 

  6. Biswas, P., Large thermal deflections of elastic plates by conformal transformations, Proceedings of the international Conference on Numerical Methods in Thermal Problems, Venice, Italy, 1981, pp. 462–472.

    Google Scholar 

  7. Sunakawa, M., Influences of temperature changes and large amplitude on free flexural vibration of rectangular plates, Transactions of JSME, 30 (1966), 558–576.

    Article  Google Scholar 

  8. Pal, M. C., Large amplitude free vibration of rectangular plates subjected to aerodynamic heating, Journal of Engineering Mathematics, 4 (1970), 39–49.

    Article  Google Scholar 

  9. Jones, R., Mazumdar, J. and Cheung, Y. K., Vibration and buckling of plates at elevated temperatures, International Journal of Solids and Structures, 16 (1980), 61–70.

    Article  Google Scholar 

  10. Nowinski, J. L. and Ismail, I. A., Large oscillations of an anisotropic triangular plate, Journal of the Franklin Institute, 280 (1965), 417–424.

    Article  Google Scholar 

  11. Vendhan, C. P. and Dhoopar, B. L., Nonlinear vibration of orthotropic triangular plates, AIAA Journal, 11 (1973), 704–709.

    Article  Google Scholar 

  12. Sathyamoorthy, M., Nonlinear vibration of elliptical plates, Journal of Sound and Vibration. 70 (1980), 458–460.

    Article  Google Scholar 

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© 1987 Elsevier Applied Science Publishers Ltd

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Sathyamoorthy, M. (1987). Effects of Temperature Changes and Large Amplitude on Vibrations of Composite Triangular Plates. In: Marshall, I.H. (eds) Composite Structures 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3455-9_32

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  • DOI: https://doi.org/10.1007/978-94-009-3455-9_32

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8047-7

  • Online ISBN: 978-94-009-3455-9

  • eBook Packages: Springer Book Archive

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