Analysis of Plate Vibration under Exponentially Varying Thermal Condition

Tripti johri, Indu Johri

.

DOI: 10.4236/mme.2011.11001                

Abstract

A mathematical model is developed to assist the design engineers by analyzing the vibration response of non-homogeneous orthotropic rectangular plate under exponentially varying thermal condition. Plate thickness varies parabolically in both directions. Using Rayleigh Ritz approach, frequency parameter and two term deflection function is calculated for diverse values of taper constants. For the best comprehension of the vibration analysis, results are depicted graphically.

Keywords

Vibration, Non-Homogeneous, Plate, Thickness, Deflection Function, Taper Constants

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	A.W. Leissa,“Vibrations of Plates.”, NASA SP-160, 1969.
[2]	A.W. Leissa, “Recent Research in Plate Vibrations: Complicating effects.”, The Shock and Vibration Digest, 9(11), 1977, PP 1-35.
[3]	J. S. Tomar and A.K. Gupta, “Effect of Exponential Temperature Variation on Frequencies of an Orthotropic Rectangular Plate of Exponentially Varying Thickness.”, Proc. of Workshop on Computer Application in Continuum Mechanics,March 11-13, Dept. of Maths. University of. Roorkee, Roorkee, 1985, PP47-52.
[4]	G.H.Rahimi, and A.R. Davoodinik, “Thermal Behavior Analysis of The Functionally Graded Timoshenko's Beam.”, IUST International Journal of Engineering Science,19(5-1), 2008, PP 105-113.
[5]	Fulin Shang, Zikun Wang, and Zhonghua Li,“Analysis of thermally induced cylindrical flexure of laminated plates with piezoelectric layers.”, Composites Part B: Engineering, 28(3), 1997,PP185-193.
[6]	R. Javaheri, M.R. Eslami, "Thermal Buckling of Functionally Graded Plates", AIAA J, 40(1), 2002, PP162.169.
[7]	A.K. Gupta, Tripti Johri, R.P. Vats, “Study of thermal gradient effect on a non-homogeneous orthotropic rectangular plate having bidirection linearly thickness variation.”, Meccanica 45(3), 2010, PP 393-400.
[8]	A.K. Gupta, Tripti Johri, R.P. Vats, “Thermal Effect on Vibration of Non-homogeneous Orthotropic Rectangular Plate Having Bi-directional Parabolically Varying Thickness”. Proceedings of World Congress on Engineering and Computer Science, 2007, PP784-787.