Article Sidebar

Submitted
August 4, 2023
Published
August 4, 2023
Download
pdf
Statistic
Read Counter : 44 Download : 41

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Main Article Content

Abstract

Nonlinear free and forced vibration characteristics of composite square plates either supported at four corner points or point supported at the middle of its edges as well as corners are investigated here using different high precision plate bending finite elements. It is observed that, higher order interpolation polynomial for the transverse displacement helps the plate bending finite elements to converge for the linear vibration frequencies. However, convergence for large amplitude vibration problems depends on the interpolation polynomials for in-plane displacements as well as transverse displacement. In general, the hardening nonlinearity (i.e., the increase of nonlinear frequency with vibration amplitude) of point supported plates is less than those of immovable simply supported plates.

Keywords

point supported composite plate, finite element, nonlinear frequency.

Article Details

How to Cite
Daripa, R., & Singha, M. K. (2023). Nonlinear Vibration Characteristics of Point Supported Isotropic and Symmetrically Laminated Plates. Journal of Aerospace Sciences and Technologies, 62(2), 83–92. https://doi.org/10.61653/joast.v62i2.2010.490
Download Citation
Endnote/Zotero/Mendeley (RIS)
BibTeX

References

  1. Leissa, A.W., "Plate Vibration Research", 1976- 1980, Complicating Factors, Shock Vib. Digest 1981, 13, pp.19-36.
  2. Shi Y., Lee, R.Y.Y. and Mei, C., Finite Element Method for Nonlinear Free Vibration of Composite Plates", AIAA Journal, 1997, 35, pp.159-166.
  3. Lau, S. L., Cheung, Y. K. and Wu, S.Y., "Nonlinear Vibration of Thin-elastic Plates, Part 1: Generalized Incremental Hamiltons Principle and Element Formulation", ASME, J. of Applied Mechanics, 1984, 51, pp. 837-844.
  4. Sathyamoorthy, M., "Nonlinear Vibrations of Plates: An Update of Recent Research Developments", ASME, Appl. Mech. Rev. 1996, 49, pp. S55-S62.
  5. Fan, S. C. and Cheung, Y. K., "Flexural Free Vibration of Rectangular Plates with Complex Support Conditions", Journal of Sound and Vibration, 1984, 93, pp. 81-94.
  6. Narita, Y., "Note on Vibration of Point Supported Rectangular Plates", Journal of Sound and Vibration, 1984, 93, pp.593-597.
  7. Kim, C.S. and Dickinson, S.M., "The Flexural Vibration of Rectangular Plates with Point Supports", Journal of Sound and Vibration, 1987, 117, pp. 249-261.
  8. Kitipornchai, S., Xiang, Y. and Leiw, K.M., "Vibration Analysis of Corner Supported Midline Plates of Arbitrary Shape Using the Lagrange Multiplier Method", Journal of Sound and Vibration, 1994, 173, pp.457-470.
  9. Gorman, D. J., "Accurate Free Vibration Analysis of pOint Supported Mindlin Plates by the Superposition Method", Journal of Sound and Vibration, 1999, 219, pp.265-277.
  10. Utjes, J. C., Laura, P.A.A., Sarmiento, G.S. and Gelos, R., "Vibrations of Thin Elastic Plates with Point Supports: A Comparative Study", Applied Acoustics, 1986, 19, pp.17-24.
  11. Raju, I.S. and Rao, C.L.A., "Free Vibrations of a Square Plate Symmetrically Supported at Four Points on the Diagonals", Journal of Sound and Vibration 1983, 90, pp. 291-297.
  12. Cheung, Y.K. and Zhou, D., "The Free Vibration of Rectangular Composite Plates with Point Supports Using Static Beam Functions", Composite Structures, 1999, 44, pp.145-154.
  13. Zhou, D., Cheung, Y.K. and Kong, J., "Free Vibration of Thick Layered Rectangular Plates with Point Supports by Finite Layer Method, , Int. Journal of Solids and Structures, 2000, 37, pp.1483-1499.
  14. Zhou, D. and Ji, T., "Free Vibration of Rectangular Plates with Internal Column Supports", Journal of Sound and Vibration, 2006, 297, pp.146-166.
  15. Narita, Y. and Hodgkinson, J.M., "Layerwise Optimization for Maximizing the Fundamental Frequencies of Point-supported Rectangular Laminated Composite Plates", Composite Structures, 2005, 69, pp.127-135.
  16. Setoodeh, A. R. and Karamani, G., "Static, Free Vibration and Buckling Analysis of Anisotropic Thick Laminated Composite Plates on Distributed and Point Elastic Supports Using a 3-D Layer-wise FEM", Engineering Structures, 2004, 26, pp.211- 220.
  17. Singha, M. K. and Mandal, M., "Supersonic Flutter Characteristics of Composite Cylindrical Panels", Composite Structures, 2008, 82 (2), pp.295-301.
  18. Singha, M. K., Ramachandra, L. S. and Bandyopadhyay, J. N., "Thermal Postbuckling Analysis of Laminated Composite Plates", Composite Structures, 2001, 54, pp.453-458.
  19. Daripa, R. and Singha, M. K., "Influence of Corner Stresses on the Stability Characteristics of Composite Skew Plates", Int. Journal of Non-linear Mechanics, 2009, 44 (2), pp.137-145.
  20. Singha, M. K. and Daripa, R., "Nonlinear Vibration of Symmetrically Laminated Composite Skew Plates by Finite Element Method", Int. Journal of Non-linear Mechanics, 2007, 42, pp.1144-1152.