There is a growing need for materials that possess a wide variation of constitutive properties that may not naturally occur within homogeneous materials for a specific use. Functionally graded materials (FGM) are a relatively new class of composite materials which consists of two or more materials (often metals and ceramics) with properties varying continuously with spatial coordinates. In this paper, the Wavelet Finite Element Method (WFEM) is used to analyze the dynamic response of beams made of FGM. The material comprising of steel and alumina is modelled using the power law and the Daubechies family and the B-spline wavelet on bounded interval (BSWI) are used to construct the WFEM. The free vibrations behavior for a beam with different material distributions, particularly fast varying, is compared with other approaches from published data in order to assess the performance of this formulation.
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