Natural frequency of axially functionally graded, tapered cantilever beams with tip masses

• Published in: Engineering structures Vol. 187; pp. 34 - 42
• Main Author: Mahmoud, M.A.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 15.05.2019; Elsevier BV
• Subjects: Axially functionally graded; Beam theory (structures); Cantilever beams; Cantilevers; Euler-Bernoulli beams; Free vibration; Functionally gradient materials; Myklestad Method; Resonant frequencies; Tapered cantilever; Tip mass; Axially functionally graded; Tapered cantilever; Myklestad Method; Tip mass; Free vibration

•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,...