In-plane free vibration analysis of FGM arches with variable curvature

doi:10.13465/j.cnki.jvs.2017.09.030

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	In-plane free vibration analysis of FGM arches with variable curvature
	Li, Wanchun; Teng, Zhaochun
刊名	Zhendong yu Chongji/Journal of Vibration and Shock
	2017-05-15
卷号	36 期号:9 页码:201-208
关键词	Arches Beams and girders Functionally graded materials Transfer matrix method Free vibration Free vibration characteristic Free vibration frequency Free-vibration analysis Frequency Functionally graded material (FGM) Variable curvature Variational principles
ISSN号	10003835
DOI	10.13465/j.cnki.jvs.2017.09.030
英文摘要	Based on the theory of Euler-Bernoulli curved beam, the shifting of neutral layer was considered when materials were gradually distributed trapezoidally along the arch thickness, and functionally graded material (FGM) arches with variable curvature were discretized into a number of curved arch elements along the arc direction. Every curved arch element was considered as a circular arch element with a constant radius, according to Hamilton variational principle, the in-plane free vibration equation of a FGM circular arch element was derived, then the element transfer matrix was deduced. Furthmore, using TMM, the in-plane free vibration characteristic equation of the FGM arch with variable curvature was derived, the in-plane free vibration natural frequencies of the FGM arch with variable curvature under two-clamped end boundary condition were solved, the results were compared with those previously reported. It was shown that TMM is effective to solve this problem. The influences of curvature varying coefficient and material volumn fraction varying coefficient on the in-plane free vibration frequencies of the FGM arch with variable curvature were analyzed. © 2017, Editorial Office of Journal of Vibration and Shock. All right reserved.
语种	中文
出版者	Chinese Vibration Engineering Society
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/114016]
专题	理学院
作者单位	School of Science, Lanzhou University of Technology, Lanzhou; 730050, China
推荐引用方式 GB/T 7714	Li, Wanchun,Teng, Zhaochun. In-plane free vibration analysis of FGM arches with variable curvature[J]. Zhendong yu Chongji/Journal of Vibration and Shock,2017,36(9):201-208.
APA	Li, Wanchun,&Teng, Zhaochun.(2017).In-plane free vibration analysis of FGM arches with variable curvature.Zhendong yu Chongji/Journal of Vibration and Shock,36(9),201-208.
MLA	Li, Wanchun,et al."In-plane free vibration analysis of FGM arches with variable curvature".Zhendong yu Chongji/Journal of Vibration and Shock 36.9(2017):201-208.