Vibration of skew plate with circular variation in thickness and Poisson’s ratio

• Autorzy: Sharma A.
• Języki publikacji: EN

Abstrakty

EN

The present study analyzes the natural vibration of non homogeneous visco elastic skew plate (parallelogram plate) with non uniform thickness under temperature field. Here non homogeneity in the plate's material arises due to circular variation in Poisson's ratio. Also the circular variation in thickness causes non uniformity in the shape of the plate. Bi linear temperature variation on the plate along both the axes is being viewed. The equation of motion related to frequency modes are solved by Rayleigh Ritz method. The findings of the present analysis are presented with the help of tables.

Słowa kluczowe

EN

circular variation; Poisson's ratio; skew plate; temperature field

PL

współczynnik Poissona; płyta skośna; pole temperatury

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2018
• Tom: Vol. 22, nr 1
• Strony: 49--58
• Opis fizyczny: Bibliogr. 16 poz., wykr.

Twórcy

autor

Sharma A.

• Amity University Haryana, Gurgaon, India

Bibliografia

• [1] Leissa A. W.: Plate vibration research, 1976 – 1980: classical theory, Shock and Vibration Inform., Center the Shock and Vibration Digest, 13, 9, 11–22, 1980.
• [2] Timoshenko, S. P. and Goodier, J. N.: Theory of elasticity, International Journal of Bulk Solids Storage in Silos, 1.4, 2014.
• [3] Yamada, G. and Irie, T.: Plate vibration research in Japan, Applied Mechanics Reviews, 40, 7, 879–892, 1987.
• [4] Mackerle, J.: Finite element vibration analysis of beams, plates and shells, Shock and Vibration, 6(2), 97–109, 1999.
• [5] Kalita, K. and Haldar, S.: Parametric study on thick plate vibration using FSDT, Mechanics and Mechanical Engineering, 19, 2, 81–90, 2015.
• [6] Gupta, A. K and Khanna, A.: Vibration of visco-elastic rectangular plate with linearly varying thickness variation in both directions, Journal of Sound and Vibration, 301, 3–5, 450–457, 2007.
• [7] Sharma, A., Raghav, A. K., Sharma, A. K. and Kumar, V.: A modeling on frequency of rectangular plate, International Journal of Control Theory of Applications, 9, 277–282, 2016.
• [8] Sharma, A., Sharma, A. K., Raghav, A. K. and Kumar, V.: Effect of vibration on orthotropic visco-elastic rectangular plate with two dimensional temperature and thickness variation, Indian Journal of Science and Technology, 9, 2, pp. 7, 2016.
• [9] Sharma, A., Sharma, A. K., Raghav, A. K. and Kumar, V.: Vibrational study of square plate with thermal effect and circular variation in density, Romanian Journal of Acoustics and Vibration, XIII, 146–152, 2016.
• [10] Khanna, A. and Arora, P.: Effect of sinusoidal thickness variation on vibrations of non homogeneous parallelogram plate with bi-linearly temperature variations, Indian Journal of Science and Technology, 6(9), 5228–5234, 2013.
• [11] Khanna, A. and Arora, P.: Theoretical study on skew plate under thermal gradient , Proceedings of the Third International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, Springer, 259, 173–182, 2014.
• [12] Ansari, A. H.: Forced response of polar orthotropic tapered circular plates resting on elastic foundation, Advances in Acoustics and Vibration, ID 1492051, 10 pages, 2016.
• [13] Tariverdilo, S., Shahmardani, M., Mirzapour, J. and Shabani, R.: Asymmetric free vibration of circular plate in contact with incompressible fluid, Applied Mathematical Modeling, 37, 228–239, 2013.
• [14] Zhou, L. and Zheng, W. X.: Vibration of skew plates by the MLS-Ritz method, International. Journal of Mechanical Sciences, 50, 1133–1141, 2008.
• [15] Khanna, A. and Kaur, N.: Effect of structural parameter on vibration of non homogeneous visco elastic rectangular plate, Journal of Vibration Engineering and Technology, 4, 459–466, 2016.
• [16] Gupta, A. K. and Shama, P.: Vibration study of non-homogeneous trapezoidal plates of variable thickness under thermal gradient, Journal of Vibration and Control, 22, 5, 1369–1379, 2016.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).