Disk Vibration Analysis of Functionally Graded Materials

Document Type: Persian

Authors

1 Master of Science, Faculty of Mechanics, University of Khomeini Shahr

2 Associate Professor, Faculty of Mechanics, University of Khomeini Shahr

Abstract

Perforated discs have many applications in different parts of industry. By making such disks of functionally graded materials, more capabilities can be obtained from them. Vibration analysis of these kinds of disks can help us make them more efficient. In this paper, modeling and evaluation of disk vibration of functionally graded materials with regard to thickness were carried out using Abaqus software. Since no certain element has been defined regarding functionally graded materials for the design and analysis of a particular element in Abaqus software, molding of such materials has been used in this application. In order to verify the results, the results obtained from ABAQUS analysis have been compared with those available in the literature. The obtained results show that by defining more layers with regard to changes in properties, the obtained results approach the exact solutions.

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[1] Liu C.F., Lee Y.T., Finite element analysis of three- dimensional vibration of thick circular and annular plates, Journal of Sound and Vibration, Vol. 233, 2000, pp.63-80.

[2] Liu C.F., Lee J.F., Lee Y.T., Axisymmetric vibration analysis of rotating annular plates by a 3D finite element, Journal of Solid and Structures, Vol. 37, 2000, pp. 5813-5827.

[3] Zhou D., Cheung Y.K., Lo S.H., Au F.T.K., 3D vibration analysis of solid and hollow circular cylinders via Chebyshev-Ritz method, Journal of Computer Method in Applied Mechanics and Engineering, Vol. 192, 2003, pp. 1575-1589.

[4] Zhou D., Cheung Y.K., Lo S.H., Au F.T.K., Three-dimensional vibration analysis of circular and annular plates via Chebyshev-Ritz method, Journal of Solid and Structures, Vol. 40, 2003, pp. 3089-3105.

[5] Chi S., Chung Y., Mechanical behavior of functionally graded material plates under transverse load-Part I: Analysis, International Journal of Solids and Structures, Vol. 43, 2006, pp 3657–3674.

[6] Chi S., Chung Y., Mechanical behavior of functionally graded material plates under transverse load-Part II: Numerical results, International Journal of Solids and Structures, Vol. 43, 2006, pp 3674–3691.

[7] Nie G.J., Zhong Z., Semi-analytical solution for three-dimensional vibration of functionally graded circular plates, Journal of Computer Method in Applied Mechanics and Engineering, Vol. 196, 2007, pp. 4901–4910,.

[8] Ebrahimi F., Rastgoo A., Free vibration analysis of smart annular FGM plates integrated with piezoelectric layers, Smart Materials and Structures, Vol. 17, 2008, pp. 13.