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Bending and Free Vibration Analysis of FGM Plate using ANSYS APDL

Madan Chandra Maurya*

Department of Civil Engineering, Madan Mohan Malaviya University of Technology, Gorakhpur, Uttar Pradesh, India.

Periodicity:June - August'2021
DOI : https://doi.org/10.26634/jste.10.2.18132

Abstract

In this paper bending and the free vibration analysis of Functionally Graded (FG) Plates has been done using Finite Element Analysis (FEA). The material properties of FGM which is mixture of metal and ceramic are used with the help of power distribution law of volume fraction which successively change over the depth of the plate. Here, for the analysis, finite element tool ANSYS APDL is utilized. For modelling of FGM plate, the whole plate is divided into various individual layer of composite having different distributed property over the thickness used as per power law distribution. Next, to check the accuracy of modelling, the result has been compared with the available result based on higher order shear deformation theory and good agreement was found with the available results. Based on this, bending and free vibration analysis has been done and results were generated for various aspect ratios of plate and also for various volume fraction exponent. It has been found that the distribution form of porosity significantly affects the mechanical behaviour of FG plates, in terms of deflection and frequency.

Keywords

Functionally Graded Material (FGM), Static Analysis, Free Vibration, ANSYS, Mechanical Behaviour.

How to Cite this Article?

Maurya, M. C. (2021). Bending and Free Vibration Analysis of FGM Plate using ANSYS APDL. i-manager's Journal on Structural Engineering, 10(2), 21-28. https://doi.org/10.26634/jste.10.2.18132

References

[1]. Efraim, E., & Eisenberger, M. (2007). Exact vibration analysis of variable thickness thick annular isotropic and FGM plates. Journal of Sound and Vibration, 299(4-5), 720-738.

[2]. Ferreira, A. J. M., Batra, R. C., Roque, C. M. C., Qian, L. F., & Martins, P. A. L. S. (2005). Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method. Composite Structures, 69(4), 449-457.

[3]. Liew, K. M., Yang, J., & Kitipornchai, S. (2003). Postbuckling of piezoelectric FGM plates subject to thermo-electro-mechanical loading. International Journal of Solids and Structures, 40(15), 3869-3892.

[4]. Liew, K. M., Yang, J., & Kitipornchai, S. (2004). Thermal post-buckling of laminated plates comprising functionally graded materials with temperaturedependent properties. Journal of Applied Mechanics, 71(6), 839-850.

[5]. Niino, M., Hirai, T., & Watanabe, R. (1987). efunctionally gradient materials. Journal of the Japan Society for Composite Materials, 13(6), 257-264.

[6]. Noda, N. (1999). Thermal stresses in functionally graded materials. Journal of Thermal Stresses, 22(4-5), 477-512.

[7]. Peng, L. X., Kitipornchai, S., & Liew, K. M. (2007). Free vibration analysis of folded plate structures by the FSDT mesh-free method. Computational Mechanics, 39(6), 799-814.

[8]. Praveen, G. N., & Reddy, J. N. (1998). Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates. International Journal of Solids and Structures, 35(33), 4457-4476.

[9]. Qian, L. F., Batra, R. C., & Chen, L. M. (2004). Static and dynamic deformations of thick functionally graded elastic plates by using higher-order shear and normal deformable plate theor y and meshless local Petrov–Galerkin method. Composites Part B: Engineering, 35(6-8), 685-697.

[10]. Reddy, J. (2000). Analysis of functionally graded plates. International Journal for Numerical Methods in Engineering, 47(1-3), 663-684.

[11]. Taj, M. G., Chakrabarti, A., & Sheikh, A. H. (2013). Analysis of functionally graded plates using higher order shear deformation theory. Applied Mathematical Modelling, 37(18-19), 8484-8494.

[12]. Talha, M., & Singh, B. (2010). Static response and free vibration analysis of FGM plates using higher order shear deformation theory. Applied Mathematical Modelling, 34(12), 3991-4011.

[13]. Vel, S. S., & Batra, R. C. (2004). Three-dimensional exact solution for the vibration of functionally graded rectangular plates. Journal of Sound and Vibration, 272(3-5), 703-730.

[14]. Weisensel, G. N. (1989). Natural frequency information for circular and annular plates. Journal of Sound and Vibration, 133(1), 129-137.

[15]. Zhao, X., Lee, Y. Y., & Liew, K. M. (2009). Free vibration analysis of functionally graded plates using the elementfree kp-Ritz method. Journal of Sound and Vibration, 319(3-5), 918-939.

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