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Natural Vibration of Visco-Elastic Plate of Varying Thickness with Thermal Effect

並列摘要


In the modern technology, the plates of variable thickness are widely used in engineering applications i.e. nuclear reactor, aeronautical field, naval structure, submarine etc. In this paper, effect of thermal gradient on vibration of square plate of varying thickness is studied. Thermal effect and thickness of plate vary bi-parabolic i.e. parabolic in x-direction and parabolic in y-direction. Rayleigh Ritz technique is used to calculate the fundamental frequencies. The frequencies corresponding to the first two modes of vibrations are obtained for a square plate for different values of taper constant and thermal gradient. Results are presented in Table and Graphical form.

並列關鍵字

Vibration Frequencies Square Plate Vibration Thermal Gradient

參考文獻


Gupta, A. K. and Khanna, A., “Thermal Effect on Vibrations of Parallelogram Plate of Linearly Varying Thickness,” Advanced Studies of Theoretical Physics, Vol. 4, No. 17, pp 817 826 (2010).
Gupta, A. K. and Khanna, A., “Vibration of Clamped Visco-Elastic Rectangular Plate with Parabolic Thickness Variations,” Journal Shock and Vibration, Vol. 15, No. 6, pp. 713 723 (2008).
Gupta, A. K. and Khanna, A., “Free Vibration of Clamped Visco-Elastic Rectangular Plate Having Bi- Direction Exponentially Thickness Variations,” Journal of Theoretical and Applied Mechanics, Vol. 47, No. 2, pp. 457 471 (2009).
Gupta, A. K. and Khanna, A., “Vibration of Visco- Elastic Rectangular Plate with Linearly Thickness Variations in Both Directions,” J. Sound and Vibration, Vol. 301, pp. 450 457 (2007). doi: 10.1016/j.jsv. 2006.01.074
Khanna, A. and Sharma, A. K., “Vibration Analysis of Visco-Elastic Square Plate of Variable Thickness with Thermal Gradient,” International Journal of Engineering and Applied Sciences, Turkey, Vol. 3, No. 4, pp. 1 6 (2011).

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