Thermal Stability Boundary of FG Panel under Aerodynamic Load
In this study, it is investigated the stability boundary of
Functionally Graded (FG) panel under the heats and supersonic
airflows. Material properties are assumed to be temperature
dependent, and a simple power law distribution is taken. First-order
shear deformation theory (FSDT) of plate is applied to model the
panel, and the von-Karman strain- displacement relations are
adopted to consider the geometric nonlinearity due to large
deformation. Further, the first-order piston theory is used to model the
supersonic aerodynamic load acting on a panel and Rayleigh damping
coefficient is used to present the structural damping. In order to find a
critical value of the speed, linear flutter analysis of FG panels is
performed. Numerical results are compared with the previous works,
and present results for the temperature dependent material are
discussed in detail for stability boundary of the panel with various
volume fractions, and aerodynamic pressures.
[1] S. Suresh and A. Mortensen, "Fundamentals of functionally graded
materials" IOM Communications Ltd. pp.3-7, 1998
[2] Noda N. "Thermal residual stresses in functionally graded materials". J
Therm Stress., vol.22, pp.477-512,1999
[3] T.Prakash and M.Ganapathi, "Supersonic flutter characteristics of
functionally graded flat panels including thermal effects", Composite
Structures., vol. 72, no. 1, pp.10-18, 2006,
[4] G. N. Praveen and J. N. Reddy, "Nonlinear transient thermoelastic
analysis of functionally graded ceramic-metal plates". Int J Solids Struct.,
vol. 35, no. 33, pp.4457-4476, 1998,
[5] K. J. Sohn and J. H. Kim, "Structural stability of functionally graded
panels subjected to aero-thermal loads", Composite Structures., to be
publication, 2007,
[6] Y. E. Weiliang and H. Dowell, "Limit cycle oscillation of a fluttering
cantilever plate", AIAA J., vol. 29, no. 11, pp.1929-1936, 1991,
[7] H. Haddadpour, H. M. Navazi and F. Shaadmehri, "Nonlinear oscillations
of a fluttering functionally graded plate", Composite Structures, vol. 79,
no. 2, pp. 242-250, 2007,
[8] E. H. Dowell, "Nonlinear oscillations of a fluttering plate". AIAA J., vol.
4, no. 7, pp.1267-1275, 1966,
[9] E. H. Dowell, "Nonlinear oscillations of a fluttering plate II". AIAA J., vol.
5, no. 10, pp.856-862, 1967,
[10] E. H. Dowell, "Nonlinear flutter of curved plates", AIAA J., vol. 7, no. 3,
pp.424-431, 1969,
[11] E. H. Dowell, "Nonlinear flutter of curved plates, II". AIAA J., vol. 8, no. 2,
pp. 259-261, 1970
[12] H. Ashley and G, Zartarian, "Piston Theory-A New Aerodynamic Tools
for the Aeroelastician", J Aeronautical Science., vol. 23, no. 12,
pp.1109-1118, 1956,
[13] O. C. Zienkiewicz, R. L. Taylor, and J. M. Too, "Reduced integration
technique in general analysis of plates and shells", Int J Numerical
Methods in Engineering, vol. 3, pp.275-290, 1971,
[14] J. S. Park and J. H. Kim, "Thermal postbuckling and vibration analyses of
functionally graded plates", J Sound and Vibration, vol. 289, pp.77-93,
2006
[1] S. Suresh and A. Mortensen, "Fundamentals of functionally graded
materials" IOM Communications Ltd. pp.3-7, 1998
[2] Noda N. "Thermal residual stresses in functionally graded materials". J
Therm Stress., vol.22, pp.477-512,1999
[3] T.Prakash and M.Ganapathi, "Supersonic flutter characteristics of
functionally graded flat panels including thermal effects", Composite
Structures., vol. 72, no. 1, pp.10-18, 2006,
[4] G. N. Praveen and J. N. Reddy, "Nonlinear transient thermoelastic
analysis of functionally graded ceramic-metal plates". Int J Solids Struct.,
vol. 35, no. 33, pp.4457-4476, 1998,
[5] K. J. Sohn and J. H. Kim, "Structural stability of functionally graded
panels subjected to aero-thermal loads", Composite Structures., to be
publication, 2007,
[6] Y. E. Weiliang and H. Dowell, "Limit cycle oscillation of a fluttering
cantilever plate", AIAA J., vol. 29, no. 11, pp.1929-1936, 1991,
[7] H. Haddadpour, H. M. Navazi and F. Shaadmehri, "Nonlinear oscillations
of a fluttering functionally graded plate", Composite Structures, vol. 79,
no. 2, pp. 242-250, 2007,
[8] E. H. Dowell, "Nonlinear oscillations of a fluttering plate". AIAA J., vol.
4, no. 7, pp.1267-1275, 1966,
[9] E. H. Dowell, "Nonlinear oscillations of a fluttering plate II". AIAA J., vol.
5, no. 10, pp.856-862, 1967,
[10] E. H. Dowell, "Nonlinear flutter of curved plates", AIAA J., vol. 7, no. 3,
pp.424-431, 1969,
[11] E. H. Dowell, "Nonlinear flutter of curved plates, II". AIAA J., vol. 8, no. 2,
pp. 259-261, 1970
[12] H. Ashley and G, Zartarian, "Piston Theory-A New Aerodynamic Tools
for the Aeroelastician", J Aeronautical Science., vol. 23, no. 12,
pp.1109-1118, 1956,
[13] O. C. Zienkiewicz, R. L. Taylor, and J. M. Too, "Reduced integration
technique in general analysis of plates and shells", Int J Numerical
Methods in Engineering, vol. 3, pp.275-290, 1971,
[14] J. S. Park and J. H. Kim, "Thermal postbuckling and vibration analyses of
functionally graded plates", J Sound and Vibration, vol. 289, pp.77-93,
2006
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:62290", author = "Sang-Lae Lee and Ji-Hwan Kim", title = "Thermal Stability Boundary of FG Panel under Aerodynamic Load", abstract = "In this study, it is investigated the stability boundary of
Functionally Graded (FG) panel under the heats and supersonic
airflows. Material properties are assumed to be temperature
dependent, and a simple power law distribution is taken. First-order
shear deformation theory (FSDT) of plate is applied to model the
panel, and the von-Karman strain- displacement relations are
adopted to consider the geometric nonlinearity due to large
deformation. Further, the first-order piston theory is used to model the
supersonic aerodynamic load acting on a panel and Rayleigh damping
coefficient is used to present the structural damping. In order to find a
critical value of the speed, linear flutter analysis of FG panels is
performed. Numerical results are compared with the previous works,
and present results for the temperature dependent material are
discussed in detail for stability boundary of the panel with various
volume fractions, and aerodynamic pressures.", keywords = "Functionally graded panels, Linear flutter analysis,Supersonic airflows, Temperature dependent material property.", volume = "1", number = "8", pages = "429-6", }