Natural frequency of axially functionally graded, tapered cantilever beams with tip masses. (15th May 2019)

• Record Type: Journal Article
• Authors: Mahmoud, M.A.
• Is Part Of: Engineering structures. Volume 187(2019)
• Page Start: 34
• Page End: 42
• Publication Date: 2019-05-15
• Subjects: Axially functionally graded -- Myklestad Method -- Tip mass -- Tapered cantilever -- Free vibration; Structural engineering -- Periodicals; Structural analysis (Engineering) -- Periodicals; Construction, Technique de la -- Périodiques; Génie parasismique -- Périodiques; Pression du vent -- Périodiques; Earthquake engineering; Structural engineering; Wind-pressure; Periodicals; 624.105
• DOI: 10.1016/j.engstruct.2019.02.043
• Languages: English
• ISSNs: 0141-0296

Abstract

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.