Thermal buckling and nonlinear flutter behavior of functionally graded material panels

Journal of Aircraft

Volumn 44, Issue 5, 2007, Pages 1610-1618

  Ibrahim, Hesham Hamed ^a,d   Tawfik, Mohammad ^b,e   Al Ajmi, Mohammed ^c  

^a Noon for Research and Development   (Egypt)

^b GERMAN UNIVERSITY IN CAIRO   (Egypt)

^c KUWAIT UNIVERSITY   (Kuwait)

^d Vibration and Acoustics Control Center   (Egypt)

^e Modeling and Simulation in Mechanics Department   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMIC LOADS; FINITE ELEMENT METHOD; FLUTTER (AERODYNAMICS); FUNCTIONALLY GRADED MATERIALS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; SHEAR DEFORMATION;

ELEVATED TEMPERATURE; SHEAR DEFORMABLE PLATE THEORY; THERMAL BUCKLING;

STRUCTURAL PANELS;

EID: 36349028243     PISSN: 00218669     EISSN: 15333868     Source Type: Journal    
DOI: 10.2514/1.27866     Document Type: Article

References (34)

1. Tauchart, T. R., "Thermally Induced Flexure, Buckling, and Vibration of Plates," Applied Mechanics Reviews, Vol. 44, No. 8, Aug. 1991, pp. 347-360.
2. Thornton, E. A., "Thermal Buckling of Plates and Shells," Applied Mechanics Reviews, Vol. 46, No. 10, Oct. 1993, pp. 485-506.
3. Gray, C. C., and Mei, C., "Finite Element Analysis of Thermal Postbuckling and Vibrations of Thermally Buckled Composite Plates," 32nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Pt. 4, A91-31826 12-39, AIAA, Washington, DC, 1991, pp. 2996-3007.
4. Shi, Y., Lee, R. Y. Y., and Mei, C., "Thermal Postbuckling of Composite Plates Using the Finite Element Modal Coordinate Method," Journal of Thermal Stresses, Vol. 22, No. 6, Aug. 1999, pp. 595-614.
5. Jones, R., and Mazumdar, J., "Vibration and Buckling of Plates at Elevated Temperatures," International Journal of Solids and Structures, Vol. 16, No. 1, 1980, pp. 61-70.
6. Shi, Y., Lee, R. Y., and Mei, C., "Coexiting Thermal Postbuckling of Composite Plates with Initial Imperfections Using Finite Element Modal Method," Journal of Thermal Stresses, Vol. 22, No. 6, 1999, pp. 595-614.
7. Jordan, P. F., "The Physical Nature of Panel Flutter," Aero Digest, Vol. 72, No. 2, Feb. 1956, pp. 34-38.
8. Mei, C., Abdel-Motagaly, K., and Chen, R., "Review of Nonlinear Panel Flutter at Supersonic and Hypersonic Speeds," Applied Mechanics Reviews, Vol. 52, No. 10, 1999, pp. 321-332.
9. Liaw, D. G., "Nonlinear Supersonic FLutter of Laminated Composite Plates Under Thermal Loads," Computers and Structures, Vol. 65, No. 5, 1997, pp. 733-740.
10. Abdel-Motagaly, K., Chen, R., and Mei, C., "Effects of Flow Angularity on Nonlinear Supersonic Flutter of Composite Panels Using Finite Element Method," 40th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA, Reston, VA, 1999, pp. 1963-1972.
11. Mei, C., "A Finite-Element Approach for Nonlinear Panel Flutter," AIAA Journal, Vol. 15, No. 8, 1977, pp. 1107-1110.
12. Dixon, I. R., and Mei, C., "Finite Element Analysis of Large-Amplitude Panel Flutter of Thin Laminates," AIAA Journal, Vol. 31, No. 4, 1993, pp. 701-707.
13. Xue, D. Y., and Mei, C., "Finite Element Nonlinear Panel Flutter with Arbitrary Temperatures in Supersonic Flow," AIAA Journal, Vol. 31, No. 1, 1993, pp. 154-162.
14. Sarma, B. S., and Varadan, T. K., "Nonlinear Panel Flutter by Finite Element Method," AIAA Journal, Vol. 26, No. 5, 1987, pp. 566-574.
15. Dongi, F., Dinkier, D., and Kroplin, B., "Active Panel Flutter Suppression Using Self-Sensing Piezoactuators," AIAA Journal, Vol. 34, No. 6, 1996, pp. 1224-1230.
16. Lee, I., Roh, J.-H., and Oh, I.-K., "Aerothermoelastic Phenomena of Aerospace and Composite Structures," Journal of Thermal Stresses, Vol. 26, No. 6, 2002, pp. 525-546.
17. Dai, K. Y., Liu, G. R., Han, X., and Lim, K. M., "Thermomechanical Analysis of Functionally Graded Material (FGM) Plates Using Element-Free Galerkin Method," Computers and Structures, Vol. 83, Nos. 17-18, 2005, pp. 1487-1502.
18. Birman, V., "Stability of Functionally Graded Shape Memory Alloy Sandwich Panels," Smart Materials and Structures,Vol. 6, No. 3, 1997, pp. 278-286.
19. El-Abbasi, N., and Meguid, S. A., "Finite Element Modeling of the Thermoelastic Behavior of Functionally Graded Plates and Shells," International Journal of Computational Engineering Science, Vol. 1, No. 1, 2000, pp. 151-165.
20. Reddy, J. N., "Analysis of Functionally Graded Plates," International Journal for Numerical Methods in Engineering, Vol. 47, Nos. 1-3, 2000, pp. 663-684.
21. He, X. Q., Ng, T. Y., Sivashanker, S., and Liew, K. M., "Active Control of FGM Plates with Integrated Piezoelectric Sensors and Actuators," International Journal of Solids and Structures, Vol. 38, No. 9, 2001, pp. 1641-1655.
22. Javaheri, R., and Eslami, M. R., "Thermal Buckling of Functionally Graded Plates Based on Higher Order Theory," Journal of Thermal Stresses, Vol. 25, No. 7, 2002, pp. 603-625.
23. Woo, J., Meguid, S. A., and Liew, K. M., "Thermomechanical Postbuckling Analysis of Functionally Graded Plates and Shallow Cylindrical Shells," Acta Mechanica, Vol. 165, Nos. 1-2, 2003, pp. 99-115.
24. Yang, J., Kitipornchai, S., and Liew, K. M., "Non-Linear Analysis of the Thermo-Electro-Mechanical Behavior of Shear Deformable FGM Plates with Piezoelectric Actuators," International Journal for Numerical Methods in Engineering, Vol. 59, No. 12, 2004, pp. 1605-1632.
25. Zenkour, A. M., "Generalized Shear Deformation Theory for Bending Analysis of Functionally Graded Plates," Journal of Applied Mathematical Modeling, Vol. 30, No. 1, 2005, pp. 67-84.
26. Kim, Y. W., "Temperature Dependent Vibration Analysis of Functionally Graded Rectangular Plates," Journal of Sound and Vibration, Vol. 284, Nos. 3-5, 2005, pp. 531-549.
27. Batra, R. C., and Jin, J., "Natural Frequencies of a Functionally Graded Anisotropic Rectangular Plate," Journal of Sound and Vibration, Vol. 282, Nos. 1-2, 2005, pp. 509-516.
28. Qian, L. F., and Batra, R. C., "Design of Bidirectional Functionally Graded Plate for Optimal Natural Frequencies," Journal of Sound and Vibration, Vol. 280, Nos. 1-2, 2005, pp. 415-124.
29. Parakash, T., and Ganapathi, M., "Supersonic Flutter Characteristics of Functionally Graded Flat Panels Including Thermal Effects," Composite Structures, Vol. 72, No. 1, 2006, pp. 10-18.
30. Guo, X., "Shape Memory Alloy Applications on Control of Thermal Buckling, Panel Flutter and Random Vibration of Composite Panels," Ph.D. Dissertation, Mechanical Engineering Dept., Old Dominion Univ., Norfolk, VA, 2005.
31. Tawfik, M., Ro, J. J., and Mei, C., "Thermal Postbuckling and Aeroelastic Behavior of Shape Memory Alloy Reinforced Plates," Smart Materials and Structures, Vol. 11, No. 2, 2002, pp. 297-307.
32. Guo, X., "Shape Memory Alloy Applications on Control of Thermal Buckling, Panel Flutter and Random Vibration of Composite Panels," Ph.D. Dissertation, Mechanical Engineering Dept., Old Dominion Univ., Norfolk, VA, 2005.
33. Park, J. S., Kim, J. H., and Moon, S. H., "Vibration of Thermally Post-Buckled Composite Plates Embedded with Shape Memory Alloy Fibers," Composite Structures, Vol. 63, No. 2, 2004, pp. 179-188.
34. Xue, D. Y., "Finite Element Frequency Domain Solution of Nonlinear Panel Flutter with Temperature Effects and Fatigue Life Analysis," Ph.D. Dissertation, Mechanical Engineering Dept., Old Dominion Univ., Norfolk, VA, 1991.