Two-dimensional generalized finite integral transform method for new analytic bending solutions of orthotropic rectangular thin foundation plates

doi:10.1016/j.aml.2018.12.019

CORC > 力学研究所 > 中国科学院力学研究所 > 非线性力学国家重点实验室

	Two-dimensional generalized finite integral transform method for new analytic bending solutions of orthotropic rectangular thin foundation plates
	Zhang JH ; Zhou C ; Ullah S ; Zhong Y ; Li R
刊名	APPLIED MATHEMATICS LETTERS
	2019-06-01
卷号	92 页码:8-14
关键词	Generalized finite integral transform method Orthotropic thin plate Elastic foundation Analytic solution
ISSN号	0893-9659
DOI	10.1016/j.aml.2018.12.019
英文摘要	In this paper, a two-dimensional generalized finite integral transform method is developed for new analytic bending solutions of orthotropic rectangular thin foundation plates. The vibrating beam functions are adopted as the integral kernels to construct the integral transform pairs. By imposing the transform to the governing equation, utilizing some inherent properties of the beam functions, the title problem is converted to that of solving a system of linear algebraic equations, by which the new analytic solutions are elegantly obtained in a straightforward way. Numerical examples validate the present method as well as the solutions yielded by satisfactory agreement with the literature and finite element analysis. (C) 2018 Elsevier Ltd. All rights reserved.
分类号	一类
WOS关键词	VIBRATION
WOS研究方向	Mathematics, Applied
语种	英语
WOS记录号	WOS:000460718600002
资助机构	Young Elite Scientists Sponsorship Program by CAST [2015QNRC001] ; National Natural Science Foundation of China [11825202] ; Fundamental Research Funds for the Central Universities [DUT18GF101]
其他责任者	Li, R
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/78492]
专题	力学研究所_非线性力学国家重点实验室
作者单位	1.{Zhang, Jinghui、Ullah, Salamat、Zhong, Yang} Dalian Univ Technol, Fac Infrastruct Engn, Dalian 116024, Peoples R China 2.{Zhou, Chao、Li, Rui} Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China 3.{Zhou, Chao、Li, Rui} Dalian Univ Technol, Int Res Ctr Computat Mech, Dalian 116024, Peoples R China 4.{Li, Rui} Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang JH,Zhou C,Ullah S,et al. Two-dimensional generalized finite integral transform method for new analytic bending solutions of orthotropic rectangular thin foundation plates[J]. APPLIED MATHEMATICS LETTERS,2019,92:8-14.
APA	Zhang JH,Zhou C,Ullah S,Zhong Y,&Li R.(2019).Two-dimensional generalized finite integral transform method for new analytic bending solutions of orthotropic rectangular thin foundation plates.APPLIED MATHEMATICS LETTERS,92,8-14.
MLA	Zhang JH,et al."Two-dimensional generalized finite integral transform method for new analytic bending solutions of orthotropic rectangular thin foundation plates".APPLIED MATHEMATICS LETTERS 92(2019):8-14.