Investigation of the Thickness Variability and Material Heterogeneity Effects on Free Vibration of the Viscoelastic Circular Plates
The present study deals with free vibration analysis of variable thickness viscoelastic circular plates made of heterogeneous materials and resting on two-parameter elastic foundations in addition to their edge conditions. It is assumed that the viscoelastic material properties vary in the transverse and radial directions simultaneously. The complex modulus approach is employed in conjunction with the elastic-viscoelastic correspondence principle to obtain the solution. The governing equations are solved by means of a power series solution. Finally, a sensitivity analysis including evaluation of effects of various edge conditions, thickness variations, coefficients of the elastic foundation, and material loss factor and heterogeneity on the natural frequencies and modal loss factors is accomplished.
Key wordsviscoelastic variable thickness circular plate natural frequencies elastic foundation material heterogeneity power series solution
Unable to display preview. Download preview PDF.
- Bolton, R., Stresses in circular plates on elastic foundations. Proceedings of the American Society of Civil Engineers, Journal of the Engineering Mechanics Division, 1972, 98: 629–640.Google Scholar
- Lakes,R.S., Viscoelastic Materials. 1st edition. Cambridge University Press, 2009.Google Scholar
- Hal, F., Brinson, L. and Brinson, C., Polymer Engineering Science and Viscoelasticity: An Introduction. Springer, LLC, 2008.Google Scholar
- Alipour, M.M. and Shariyat, M., An elasticity-equilibrium-based zigzag theory for axisymmetric bending and stress analysis of the functionally graded circular sandwich plates, using a Maclaurin-type series solution. European Journal of Mechanics — A/Solids, 2012, 34: 78–101.MathSciNetCrossRefGoogle Scholar