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

doi:10.16058/j.issn.1005-0930.2019.01.009

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	Vibration Response of A Simply Supported FGM Beam Under A Non-conservative Distributed Load Near the Buckling
	Li, Qinglu 1; Li, Shirong 1,2
刊名	Yingyong Jichu yu Gongcheng Kexue Xuebao/Journal of Basic Science and Engineering
	2019-02-01
卷号	27 期号:1 页码:95-103
关键词	Beams and girders Buckling Natural frequencies Numerical methods Effects of materials Follower forces Free vibration Functionally graded material (FGM) Large deformation theories Non-dimensional frequency Numerical results Simply supported beams
ISSN号	10050930
DOI	10.16058/j.issn.1005-0930.2019.01.009
英文摘要	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.
语种	中文
出版者	Editorial Board of Journal of Basic Science and
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/114387]
专题	理学院
作者单位	1.School of Sciences, Lanzhou University of Technology, Lanzhou; Gansu; 730050, China; 2.School of Civil Science and Technology, Yangzhou University, Yangzhou; Jiangsu; 225127, China
推荐引用方式 GB/T 7714	Li, Qinglu,Li, Shirong. Vibration Response of A Simply Supported FGM Beam Under A Non-conservative Distributed Load Near the Buckling[J]. Yingyong Jichu yu Gongcheng Kexue Xuebao/Journal of Basic Science and Engineering,2019,27(1):95-103.
APA	Li, Qinglu,&Li, Shirong.(2019).Vibration Response of A Simply Supported FGM Beam Under A Non-conservative Distributed Load Near the Buckling.Yingyong Jichu yu Gongcheng Kexue Xuebao/Journal of Basic Science and Engineering,27(1),95-103.
MLA	Li, Qinglu,et al."Vibration Response of A Simply Supported FGM Beam Under A Non-conservative Distributed Load Near the Buckling".Yingyong Jichu yu Gongcheng Kexue Xuebao/Journal of Basic Science and Engineering 27.1(2019):95-103.