Analytical solutions of transient response of functionallygradient beam subjected to impact load

doi:10.3969/j.issn.1007-7294.2020.04.011

CORC > 兰州理工大学 > 兰州理工大学

	Analytical solutions of transient response of functionallygradient beam subjected to impact load
	Zhang, Jing-Hua; Lü, Ya-Li
刊名	Chuan Bo Li Xue/Journal of Ship Mechanics
	2020-04-01
卷号	24 期号:4 页码:512-517
关键词	Beams and girders Dynamic response Equations of motion Functionally graded materials Duhamel integrals Dynamic response characteristics Functionally graded material (FGM) Governing equations of motion Maximum deflection Modal superposition Numerical results Thickness direction
ISSN号	10077294
DOI	10.3969/j.issn.1007-7294.2020.04.011
英文摘要	In the present study, dynamic response of a functionally-graded material (FGM) beam subjected to the impact load is studied analytically. Firstly, governing equations of motion are derived, in which material properties of FGM are assumed to vary continuously in the thickness direction of the beam according to a power function. And then, nature frequencies and principal modes of cantilever FGM beam are obtained by using the method of variables separation. The orthogonality of principal modes is also confirmed. Finally, the dynamic response characteristics of FGM beam subjected to the impact load on the end are studied by the method of principal modal superposition combining with DuHamel integral. The accurately-analytical solutions of the maximum deflections with respect to time are obtained. And the numerical results are given in the short time of the impact. The shock response characteristics and its influencing factors are analyzed in detail. © 2020, Editorial Board of Journal of Ship Mechanics. All right reserved.
语种	中文
出版者	China Ship Scientific Research Center
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/115184]
专题	兰州理工大学
作者单位	School of Sciences, Lanzhou University of Technology, Lanzhou; 730050, China
推荐引用方式 GB/T 7714	Zhang, Jing-Hua,Lü, Ya-Li. Analytical solutions of transient response of functionallygradient beam subjected to impact load[J]. Chuan Bo Li Xue/Journal of Ship Mechanics,2020,24(4):512-517.
APA	Zhang, Jing-Hua,&Lü, Ya-Li.(2020).Analytical solutions of transient response of functionallygradient beam subjected to impact load.Chuan Bo Li Xue/Journal of Ship Mechanics,24(4),512-517.
MLA	Zhang, Jing-Hua,et al."Analytical solutions of transient response of functionallygradient beam subjected to impact load".Chuan Bo Li Xue/Journal of Ship Mechanics 24.4(2020):512-517.