Abstract
Free vibration of thin functionally graded (FG) rectangular plates subjected to various possible boundary conditions based on classical plate theory is investigated in this chapter. Material properties of the FG plate constituents vary continuously along thickness direction in either power-law or exponential law. Trial functions denoting the displacement components are expressed as linear combination of simple algebraic polynomials, which may handle any combination of boundary conditions easily. The generalized eigenvalue problem can be obtained by means of the Rayleigh-Ritz method (as stated in Chapter 3). An excellent validation of natural frequencies can be observed after the test of convergence with respect to number of polynomials. The effects of constituent volume fractions, aspect ratios, and power-law indices on the natural frequencies can also be found here. Three-dimensional (3D) mode shapes are depicted for six lowest modes of different FG rectangular plates.
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