| 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
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| Source Publication | APPLIED MATHEMATICS LETTERS
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| 2019-06-01 | |
| Volume | 92Pages:8-14 |
| ISSN | 0893-9659 |
| Abstract | 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. |
| Keyword | Generalized finite integral transform method Orthotropic thin plate Elastic foundation Analytic solution |
| DOI | 10.1016/j.aml.2018.12.019 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000460718600002 |
| WOS Keyword | VIBRATION |
| WOS Research Area | Mathematics, Applied |
| WOS Subject | Mathematics |
| Funding Organization | Young Elite Scientists Sponsorship Program by CAST [2015QNRC001] ; National Natural Science Foundation of China [11825202] ; Fundamental Research Funds for the Central Universities [DUT18GF101] |
| Classification | 一类 |
| Ranking | 1 |
| Contributor | Li, R |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/78492 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 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 |
| Recommended Citation 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.Rp_Au:Li, R |
| 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. |
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| File Name/Size | DocType | Version | Access | License | ||
| Jp2019071.pdf（461KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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