Abstract
Abstract In this work, the harmonic differential quadrature (HDQ) method is employed to investigate the vibration characteristics of axially functionally graded (AFG) tapered beam. The material parameters of beam are assumed to be varied continuously along beam length according to power law function. The Hamilton’s principle is used to obtain the equation of motion considering Timoshenko beam theory. Then the governing equations are solved using harmonic differential quadrature method. The non-dimensional frequencies are obtained for clamped–clamped type of boundary condition. The competency of the present method is then validated by the other available numerical techniques in the literature. The influence of non-homogeneity parameter, taper ratio and aspect ratio on the frequencies of the AFG tapered beam is discussed in detail.
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