Numerical manifold method for vibration analysis of Kirchhoff's plates of arbitrary geometry
文献类型：期刊论文
| 作者 | Guo, Hongwei; Zheng, Hong; Zhuang, Xiaoying |
| 刊名 | APPLIED MATHEMATICAL MODELLING
 |
| 出版日期 | 2019 |
| 卷号 | 66期号:-页码:695-727 |
| ISSN号 | 0307-904X |
| 关键词 | Numerical manifold method Vibration analysis Free vibration Forced vibration Lumped mass matrix Kirchhoff's plates |
| DOI | 10.1016/j.apm.2018.10.006 |
| 英文摘要 | Many rectangular plate elements developed in the history of finite element method (FEM) have displayed excellent numerical properties, yet their applications have been limited due to inability to conform to the arbitrary geometry of plates and shells. Numerical manifold method (NMM), considered to be a generalization of FEM, can easily solve this issue by viewing a mesh made up of rectangular elements as mathematical cover. In this study, ACM element (Adini and Clough element from A. Adini, R.W. Clough, Analysis of plate bending by the finite element method, University of California, 1960), a typical rectangular plate element is first integrated in the framework of NMM. Then, vibration analysis of arbitrary shaped thin plates is conducted employing the tailored NMM. Using the definition of integral of scalar functions on manifolds, we developed a mathematically rigorous mass lumping scheme for creating a symmetric and positive definite lumped mass matrix that is easy to inverse. A series of numerical experiments have been studied and analyzed, including free and forced vibration of thin plates with various shapes, validating the proposed mass lumping scheme can supersede the consistent mass formulation in those cases. (C) 2018 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Engineering ; Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000454976400040 |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/15064]  |
| 专题 | 岩土力学所知识全产出_期刊论文 国家重点实验室知识产出_期刊论文 |
| 作者单位 | 1.Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China; 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Hubei, Peoples R China; 3.Tongji Univ, Dept Geotech Engn, Shanghai 200092, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, Hongwei,Zheng, Hong,Zhuang, Xiaoying. Numerical manifold method for vibration analysis of Kirchhoff's plates of arbitrary geometry[J]. APPLIED MATHEMATICAL MODELLING,2019,66(-):695-727. |
| APA | Guo, Hongwei,Zheng, Hong,&Zhuang, Xiaoying.(2019).Numerical manifold method for vibration analysis of Kirchhoff's plates of arbitrary geometry.APPLIED MATHEMATICAL MODELLING,66(-),695-727. |
| MLA | Guo, Hongwei,et al."Numerical manifold method for vibration analysis of Kirchhoff's plates of arbitrary geometry".APPLIED MATHEMATICAL MODELLING 66.-(2019):695-727. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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