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Natural frequency of axially functionally graded, tapered cantilever beams with tip masses
Highlights A general numerical solution for vibration analysis of AFG beams is presented. The accuracy of the method is verified by comparison with many published results. The method is verified for non-uniform beams of different material grading functions. Solutions presented for mass-loaded AFG cantilevers, a scarce case in the literature.
Abstract This article presents a general solution for the free transverse vibration of non-uniform, axially functionally graded cantilevers loaded at the tips with point masses. Attention is focused on undamped cantilevers that fall within the range of validity of Euler-Bernoulli beam theory. The Myklestad Method is shown to be an efficient and accurate tool for this purpose. Results are presented for a number of cases of different beam geometries and material gradients.
Natural frequency of axially functionally graded, tapered cantilever beams with tip masses
Highlights A general numerical solution for vibration analysis of AFG beams is presented. The accuracy of the method is verified by comparison with many published results. The method is verified for non-uniform beams of different material grading functions. Solutions presented for mass-loaded AFG cantilevers, a scarce case in the literature.
Abstract This article presents a general solution for the free transverse vibration of non-uniform, axially functionally graded cantilevers loaded at the tips with point masses. Attention is focused on undamped cantilevers that fall within the range of validity of Euler-Bernoulli beam theory. The Myklestad Method is shown to be an efficient and accurate tool for this purpose. Results are presented for a number of cases of different beam geometries and material gradients.
Natural frequency of axially functionally graded, tapered cantilever beams with tip masses
Mahmoud, M.A. (author)
Engineering Structures ; 187 ; 34-42
2019-02-19
9 pages
Article (Journal)
Electronic Resource
English
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