Abstract
This article outlines the use of the Myklestad method (also known as Lumped Mass Transfer Matrix Method) for free vibration analysis of nonuniform and stepped axially functionally graded (AFG) beams carrying arbitrary numbers of point masses. The method was shown to be capable of dealing with beams of arbitrary variations of both cross-section dimensions and material properties. Tabulated results of free vibration analysis for beams with various classical boundary conditions are presented.
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