|
Effect of Thermal Gradient and Thickness Variation on Vibration of Visco-Elastic Plate
[Full Text]
AUTHOR(S)
Anupam Khanna, Ashish Kumar Sharma
KEYWORDS
Visco-elastic, Vibration, Thickness, Square plate, Thermal gradient, Taper constant, Frequency.
ABSTRACT
Plates and plate-type structures have gained a special importance and notably increased engineering applications in recent years. A large number of structural components in engineering structures can be classified as plates. Plates are also indispensable in ship building and aerospace industries. The wings and a large part of the fuselage of an aircraft, for example, consist of a slightly curved plate skin with an array of stiffened ribs. The hull of a ship, its deck and its super structure are further examples of stiffened plate structures. Plates with variable thickness are also have a great importance in a wide variety of engineering applications i.e. nuclear reactor, aeronautical field, naval structure, submarine, earth-quake resistors etc. A mathematical model is presented for the use of engineers and research workers in space technology have to operate under elevated temperatures. In this paper, the thickness varies linearly in x- direction and thermal effect is varying linearly in two directions. Rayleigh Ritz method is used to evaluate the fundamental frequencies. Both the modes of the frequency are calculated for the various values of taper parameters and thermal gradient.
REFERENCES
[1] A.K. Gupta and Anupam Khanna, 2010, Thermal Effect On Vibrations Of Parallelogram Plate Of Linearly Varying Thickness, Advanced Studies Of Theoretical Physics, (Vol.4, No.17, pp: 817-826).
[2] A.K.Gupta and Anupam Khanna, 2008, Vibration of clamped visco-elastic rectangular plate with parabolic thickness variations, Journal shock and vibration, Vol.15 (6), 713-723.
[3] A.K. Gupta and Anupam Khanna, 2009 Free vibration of clamped visco-elastic rectangular plate having bi-direction exponentially thickness variations, Journal of Theoretical and Applied Mechanics, Vol. 47 (2), pp. 457-471.
[4] A.K.Gupta and A. Khanna, Vibration of visco-elastic rectangular plate with linearly thickness variations in both directions, 2007 J. Sound and Vibration, Vol.301, 450-457.
[5] Anupam Khanna, Ashish Kumar Sharma. (2011). Study of free Vibration of Visco-Elastic Square Plate of Variable Thickness with Thermal Effect, Innovative System Design and Engineering, U.S.A. Vol.2. No. 4.
[6] Anupam Khanna, Ashish Kumar Sharma. (2011). Vibration Analysis of Visco-Elastic Square Plate of Variable Thickness with Thermal Gradient, International Journal of Engineering and Applied Sciences, Turkey, Vol. 3 - Issue 4, pp. 1-6.
|
