Abstract
This article deals with the free vibration analysis of FGM structures. In this study, three structures are being used such as a skewed, triangular and trapezoidal plates. The mechanical constants are continuously graded across the thickness direction. Material constants are varied as per power law gradation (P-FGM). The natural frequencies and their respective mode shapes are obtained for FGM structures. Finite element software COMSOL multiphysics is used to obtained natural frequencies and their respective mode shapes. Results for different boundary conditions are also reported. Boundary conditions such as clamped, simply supported and the combination of clamped and simply supported are used. The effects of the functionally graded index and width-to-thickness ratio on natural frequencies are also presented. It is observed that results obtained by finite element software COMSOL multiphysics–5.4 are at the same level of accuracy than those of previously published results using analytical methods. The objective of this paper is to vibration analysis of different shapes of FGM structures. So, this paper is useful in the design of FGM structure for engineering applications.
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Sharma, P., Khinchi, A., Jain, A. (2021). Free Vibration Analysis of FGM Structures Using FEM Technique. In: Bag, S., Paul, C.P., Baruah, M. (eds) Next Generation Materials and Processing Technologies. Springer Proceedings in Materials, vol 9. Springer, Singapore. https://doi.org/10.1007/978-981-16-0182-8_31
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