Effects of Unsteady Aerodynamic Pressure Load in the Thermal Environment of FGM Plates

  • Chih-Chiang Hong Hsiuping University of Science and Technology
Keywords: aerodynamic pressure, varied shear correction coefficient, FGM, thermal vibration, GDQ

Abstract

The effects of unsteady aerodynamic pressure load with varied shear correction coefficient on the functionally graded material (FGM) plates are investigated. Thermal vibration is studied by using the first-order shear deformation theory (FSDT) and the generalized differential quadrature (GDQ) method. Usually, in the FGM analyses, the computed and varied values of shear correction coefficient are the function of the total thickness of plates, FGM power law index, and environment temperature. The effects of environment temperature and FGM power law index on the thermal stress and center deflection of airflow over the upper surface of FGM plates are obtained and investigated. In addition, the effects, with and without the fluid flow over the upper surface of FGM plates, on the center deflection and normal stress are also investigated.

References

S. A. Fazelzadeh, S. Pouresmaeeli, and E. Ghavanloo, “Aeroelastic characteristics of functionally graded carbon nanotube-reinforced composite plates under a supersonic flow,” Computer Methods in Applied Mechanics and Engineering vol. 285, pp. 714-729, March 2015.

C. Y. Lee and J. H. Kim, “Evaluation of homogenized effective properties for FGM panels in aero-thermal environments,” Composite Structures, vol. 120, pp. 442-450, February 2015.

M. Rafiee, M. Mohammadi, B. S. Aragh, and H. Yaghoobi, “Nonlinear free and forced thermo-electro-aero-elastic vibration and dynamic response of piezoelectric functionally graded laminated composite shells: Part II: Numerical results,” Composite Structures, vol. 103, pp. 188-196, September 2013.

M. Ghadimi, M. Dardel, M. H. Pashaei, and M. M. Barzegari, “Effects of geometric imperfections on the aeroelastic behavior of functionally graded wings in supersonic flow,” Aerospace Science and Technology, vol. 23, no. 1, pp. 492-504, December 2012.

T. Prakash, M. K. Singha, and M. Ganapathi, “A finite element study on the large amplitude flexural vibration characteristics of FGM plates under aerodynamic load,” International Journal of Non-Linear Mechanics, vol. 47, no. 5, pp. 439-447, June 2012.

K. J. Sohn and J. H. Kim, “Structural stability of functionally graded panels subjected to aero-thermal loads,” Composite Structures, vol. 82, no. 3, pp. 317-325, February 2008.

S. A. Fazelzadeh and M. Hosseini, “Aerothermoelastic behavior of supersonic rotating thin-walled beams made of functionally graded materials,” Journal of Fluids and Structures, vol. 23, no. 8, pp. 1251-1264, November 2007.

L. Wu, H. Wang, and D. Wang, “Dynamic stability analysis of FGM plates by the moving least squares differential quadrature method,” Composite Structures, vol. 77, no. 3, pp. 383-394, February 2007.

H. M. Navazi and H. Haddadpour, “Aero-thermoelastic stability of functionally graded plates,” Composite Structures, vol. 80, no. 4, pp. 580-587, October 2007.

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, January 2006.

C. C. Hong, “Effects of varied shear correction on the thermal vibration of functionally-graded material shells in an unsteady supersonic flow,” Aerospace, vol. 4, no. 1, pp. 1-15, December 2017.

F. Tornabene, N. Fantuzzi, F. Ubertini, and E. Viola, “Strong formulation finite element method based on differential quadrature: a survey,” Applied Mechanics Reviews, vol. 67, no. 2, pp. 1-55, March 2015.

C. C. Hong, “Thermal vibration and transient response of magnetostrictive functionally graded material plates,” European Journal of Mechanics - A/Solids, vol. 43, pp. 78-88, January-February 2014.

C. C. Hong, “Rapid heating induced vibration of circular cylindrical shells with magnetostrictive functionally graded material,” Archives of Civil and Mechanical Engineering, vol. 14, no. 4, pp. 710-720, August 2014.

C. C. Hong, “Thermal vibration of magnetostrictive functionally graded material shells,” European Journal of Mechanics - A/Solids, vol. 40, pp. 114-122, July-August 2013.

C. C. Hong, “Rapid heating induced vibration of magnetostrictive functionally graded material plates,” Transactions of the ASME, Journal of Vibration and Acoustics, vol. 134, no. 2, pp. 1-11, January 2012.

F. Tornabene and E. Viola, “Free vibration analysis of functionally graded panels and shells of revolution,” Meccanica vol. 44, no. 3, pp. 255-281, June 2009.

S. H. Chi and Y. L. Chung, “Mechanical behavior of functionally graded material plates under transverse load, part I: analysis,” International Journal of Solids and Structures, vol. 43, no. 13, pp. 3657-3674, June 2006.

M. S. Qatu, R. W. Sullivan, and W. Wang, “Recent research advances on the dynamic analysis of composite shells: 2000-2009,” Composite Structures, vol. 93, no. 1, pp. 14-31, December 2010.

S. J. Lee and J. N. Reddy, “Non-linear response of laminated composite plates under thermomechanical loading,” International Journal of Non-Linear Mechanics, vol. 40, no. 7, pp. 971-985, September 2005.

J. M. Whitney, Structural analysis of laminated anisotropic plates, Lancaster: Pennsylvania, USA, Technomic Publishing Company, Inc., 1987.

H. S. Shen, “Nonlinear thermal bending response of FGM plates due to heat condition,” Composites Part B: Engineering, vol. 38, no. 2, pp. 201-215, March 2007.

C. Shu and B. E. Richards, “High resolution of natural convection in a square cavity by generalized differential quadrature,” Proc. 3rd International Conf. Advanced in numerical Methods in Engineering: Theory and Applications, Swansea, vol. 2, pp. 978-985, 1990.

C. W. Bert, S. K. Jang, and A. G. Striz, “Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature,” Computational Mechanics, vol. 5, no. 2-3, pp. 217-226, March 1989.

C. Shu and H. Du, “Implementation of clamped and simply supported boundary conditions in the GDQ free vibration analyses of beams and plates,” International Journal of Solids and Structures, vol. 34, no. 7, pp. 819-835, March 1997.

Published
2018-03-01
Section
Articles