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Effect of Non-ideal Boundary Conditions on Buckling of Rectangular Functionally Graded Plates | ||
Journal of Solid Mechanics | ||
مقاله 2، دوره 1، شماره 2، شهریور 2009، صفحه 91-97 اصل مقاله (176.36 K) | ||
نوع مقاله: Research Paper | ||
نویسندگان | ||
J Mohammadi* 1؛ M Gheisary2 | ||
1Department of Mechanical Engineering, Islamic Azad University, Arak Branch | ||
2Faculty of Engineering, Islamic Azad University, Khomein Branch | ||
چکیده | ||
We have solved the governing equations for the buckling of rectangular functionally graded plates which one of its edges has small non-zero deflection and moment. For the case that the material properties obey a power law in the thickness direction, an analytical solution is obtained using the perturbation series. The applied in-plane load is assumed to be perpendicular to the edge which has non-ideal boundary conditions. Making use of the Linshtead-Poincare perturbation technique, the critical buckling loads are obtained. The results were then verified with the known data in the literature. | ||
کلیدواژهها | ||
Buckling؛ Functionally graded plates؛ Non-ideal boundary conditions؛ Sliding support؛ Perturbation | ||
مراجع | ||
[1] Reddy J.N., 2000, Analysis of functionally graded plates, International Journal for Numerical Methods in Engineering 47: 663-684.
[2] Najafizadeh M.M., Eslami M.R., 2002, Buckling analysis of circular plates of functionally graded materials based on first order theory, AIAA Journal 40(7): 1444-1450.
[3] Javaheri R., Eslami M.R., 2002, Thermal buckling of functionally graded plates, AIAA Journal 40(1): 162-169.
[4] Gorman D.J., 2000, Free vibration and buckling of in-plane loaded plates with rotational elastic edge support, Journal of Sound and Vibration 229(4): 755-773.
[5] Pakdemirli M., Boyaci H., 2002, Effect of non-ideal boundary conditions on the vibrations of continuous systems, Journal of Sound and Vibration 249: 815-823.
[6] Pakdemirli M., Boyaci H., 2003, Non-linear vibrations of a simple-simple beam with a non-ideal support in between, Journal of Sound and Vibration 268: 331-341.
[7] Aydogdu M., Ece M.C., 2006, Buckling and vibration of non-ideal simply supported rectangular isotropic plates, Mechanics Research Communications 33: 532-540.
[8] Nayfeh A.H., 1981, Introduction to Perturbation Techniques, Wiley, New York.
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