Main Article Content

Abstract

Here, the supersonic flutter behavior of flat panels made of functionally graded materials is studied. The structural model is based on first-order shear theory and material properties are assumed to be temperature dependent and graded in the thickness direction. The aerodynamic force is evaluated by considering the first-order high Mach number approximation to linear potential flow theory. The variation of critical aerodynamic pressure is highlighted considering different parameters such as plate thickness, aspect ratio, power law index of functionally graded materials, temperature-dependent material properties. It is seen that the volume fraction index plays a significant role on the critical flutter speed under thermal environment.

Keywords

Functionally graded plate, Supersonic flutter, Finite element, Aspect ratio, Temperature, Volume fraction index

Article Details

How to Cite
Prakash, T., Ganapathi, M., & Singha, M. K. (2023). Influences of Functionally Graded Materials on Supersonic Panel Flutter. Journal of Aerospace Sciences and Technologies, 56(4), 265–273. https://doi.org/10.61653/joast.v56i4.2004.843

References

  1. Koizumi, M., "FGM Activities in Japan", Composites, Vol.28, 7997, pp.1-4.
  2. Koizumi, M., "The Concept of FGM, Ceram Trans Functionally Graded Material", Vol.34, 1993, pp.3-10.
  3. Cheng, Z-Q. and Batra, R.C., "Exact Correspondence Between Eigenvalues of Membranes and Functionally Graded Simply Supported Polygonal Plates", J. Sound and Vibration, Vol. 229, 2000, pp.879-895.
  4. Yang, J. and Shen, H-S., "Vibration Characteristic and Transient Response of Shear-deformable Functionally Graded Plates in Thermal Environments", J. Sound and Vibration, Vol. 25, 2002, pp.579-602.
  5. He, X.Q., Ng, T.Y., Sivashakar, S. and Liew, K.M., "Active Control of FGM Plates with Integrated Piezoelectric Sensors and Actuators", Int. J. Solids Struct, Vo1.38, 2001, pp.1647-1655.
  6. Praveen, G.N. and Reddy, J.N., "Nonlinear Transient Thermoelastic Analysis of Functionally Graded Ceramic Metal Plates", Int. J. Solids Struct, Vol. 35, 1998, pp. 4457 -4476.
  7. Yang, J., Kitipornchai, S. and Liew, K.M., "Large Amplitude Vibration of Thermo-electro- Mechanically Stressed FGM Laminated Plates", Comput. Methods Applied Mechanics Engineering, Vol. 192, 2003, pp. 3861-3885.
  8. Ng, T.Y., He, X.Q. and Liew, K.M., "Effect of FGM Materials on the Parametric Resonance of Plate Structures", Comput. Methods Applied mechanics Engineering, VoI.190, 2000, pp.953- 962.
  9. Dowell, E.H.. "Panel Flutter: A Review of the Aeroelastic Stability of Plates and Shells", AIAA Journal, Vol.8, 1970, pp. 385-399.
  10. Bismark-Nasr, M.N., "Finite Element Analysis of Aeroelasticity of Plates and Shells", Applied Mechanics Review, Vol.45, 1992, pp.46I-482.
  11. Bismark-Nasr, M.N., "Finite Elements in Aeroelasticity of Plates and Shells, Applied Mechanics Review, Vol.49, 1996, pp.17-24.
  12. Polit, O., Touratier, M. and Lory, P., "A New Eight Node Quadrilateral Shear Bending Plate Finite Element", Int. J. Numer. Meth. Engg., Vol.37, 7994, pp. 381 - 411.
  13. Ganapathi, M., Polit, O. and Touratier, M., "A C0 Eight-Noded Membrane-Shear-Bending Element for Geometrically Nonlinear (Static and Dynamic) Analysis of Laminates", Int. J. Numer. Meth. Engg., Vol.39, 1996, pp. 3453-3474.
  14. Lanhe, Wu., "Thermal Buckling of a Simply Supported Moderately Thick Rectangular FGM Plate", Composite Structures, Vol.64, 2004, pp. 211-218.
  15. Dixon, S.C., "Comparison of Panel Flutter Results from Approximate Aerodynamic Theory with Results from Exact Theory and Experiment", NASA TN D-3649, 1966.
  16. Birman, V. and Librescu, L., "Supersonic Flutter of Shear Deformation Laminated Flat Panel", J. Sound and Vibration, VoI.139, 1990, pp. 265-275.
  17. Ganapathi, M. and Touratier, M., "supersonic Flutter Analysis of Thermally Stressed Laminated Composite Flat Panels", Composite Structures, Vol.34, 1996, pp.241-248.
  18. Wilkinson, J.H., "The Algebraic Eigenvalue Problem", Oxford University Press, 1965.
  19. Han, A.D. and Yang, T.Y., "Nonlinear Panel Flutter Using High-order Triangular Finite Elements", AIAA Journal, Vol.10, 1983, pp.1453- 1461.
  20. Reddy, J.N. and Chin, C.D., "Thermomechanical Analysis of Functionally Graded Cylinders and Plates", J. Thermal Stresses, Vol.21,1998, pp.593- 629.

Most read articles by the same author(s)