Vibration Response of A Simply Supported FGM Beam Under A Non-conservative Distributed Load Near the Buckling

被引：0
|
作者：
Li Q. [1 ]
Li S. [1 ,2 ]
机构：
[1] School of Sciences, Lanzhou University of Technology, Lanzhou, 730050, Gansu
[2] School of Civil Science and Technology, Yangzhou University, Yangzhou, 225127, Jiangsu
来源：
Yingyong Jichu yu Gongcheng Kexue Xuebao/Journal of Basic Science and Engineering | 2019年 / 27卷 / 01期
关键词：
Follower force; Free vibration; Functionally graded material; Natural frequency; Numerical result;
D O I：
10.16058/j.issn.1005-0930.2019.01.009
中图分类号：
学科分类号：
摘要：
The free vibration of a simply supported beam made from functionally graded materials(FGM) before and after the buckling subjected to uniformly and tangentially compressing follower force were studied. Based on the large deformation theory for extensible beams, governing equations for free vibration of FGM beams with the large amplitude under a non-conservative load were formulated. It is assumed that the material properties of functionally graded material vary continuously in the thickness direction and obey a simple power law of volume fraction of the constituents. By using shooting method to solve the governing equations for vibration, numerical solutions of the first three natural frequencies depending on load parameter were obtained and characteristics curves of the lower non-dimensional frequencies versus load parameter of FGM beams under the different graded index were plotted. The effects of material gradient property on the vibration of the beam were discussed in detail. © 2019, The Editorial Board of Journal of Basic Science and Engineering. All right reserved.
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页码：95 / 103
页数：8
相关论文
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