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

被引:38
|
作者
Mahmoud, M. A. [1 ]
机构
[1] 1222 Willow Point Dr, Murphy, TX 75094 USA
关键词
Axially functionally graded; Myklestad Method; Tip mass; Tapered cantilever; Free vibration; FREE-VIBRATION ANALYSIS; NONUNIFORM; SUBJECT; CRACKS;
D O I
10.1016/j.engstruct.2019.02.043
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
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.
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页码:34 / 42
页数:9
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