A new family of high-order triangular weight functions for mass lumping in vibration analysis | |
Fan, Huo5; Huang, Duruo1,4; Wang, Gang2,3 | |
刊名 | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING |
2023-05-24 | |
页码 | 38 |
关键词 | lumped mass matrix mass conservation positive definiteness vibration analysis weight function |
ISSN号 | 0029-5981 |
DOI | 10.1002/nme.7252 |
英文摘要 | In the conventional finite element method, only a few types of elements can directly use the weight functions to generate a proper, diagonally lumped mass matrix (LMM), which satisfies mass conservation and positive definiteness. This study proposes a new set of weight functions that can be efficiently constructed and used for generating a proper LMM based on classical 6-, 9-, and 10-node triangular elements. Furthermore, we prove that these new elements are all complete and consistent, which ensures the convergence of the numerical solution. Finally, some modal and forced/free vibration analyses are conducted to demonstrate the computational accuracy and validation of the proposed LMM. |
资助项目 | Hong Kong Research Grants Council[16214519] ; National Natural Science Foundation of China[52179134] ; National Natural Science Foundation of China[U2240211] ; CAS Pioneer Hundred Talents Program (Young Program)[E3K2010] ; Hetao Shenzhen-Hong Kong Science and Technology Innovation Cooperation Zone[HZQB-KCZYB-2020083] |
WOS关键词 | NUMERICAL MANIFOLD METHOD ; LUMPED TETRAHEDRAL ELEMENTS ; FINITE-ELEMENTS ; DERIVATIVE DEGREES ; CRACK-PROPAGATION ; DISCRETIZATIONS ; QUADRATURE ; SCHEMES |
WOS研究方向 | Engineering ; Mathematics |
语种 | 英语 |
出版者 | WILEY |
WOS记录号 | WOS:000994160400001 |
资助机构 | Hong Kong Research Grants Council ; National Natural Science Foundation of China ; CAS Pioneer Hundred Talents Program (Young Program) ; Hetao Shenzhen-Hong Kong Science and Technology Innovation Cooperation Zone |
内容类型 | 期刊论文 |
源URL | [http://ir.imde.ac.cn/handle/131551/57390] |
专题 | 成都山地灾害与环境研究所_山地灾害与地表过程重点实验室 |
通讯作者 | Huang, Duruo |
作者单位 | 1.Tsinghua Univ, Dept Hydraul Engn, Beijing 100084, Peoples R China 2.HKUST Shenzhen Hong Kong Collaborat Innovat Res In, Shenzhen, Peoples R China 3.Hong Kong Univ Sci & Technol, Dept Civil & Environm Engn, Kowloon, Hong Kong, Peoples R China 4.Tsinghua Univ, Dept Hydraul Engn, Beijing, Peoples R China 5.Chinese Acad Sci, Inst Mt Hazards & Environm, Chengdu, Peoples R China |
推荐引用方式 GB/T 7714 | Fan, Huo,Huang, Duruo,Wang, Gang. A new family of high-order triangular weight functions for mass lumping in vibration analysis[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2023:38. |
APA | Fan, Huo,Huang, Duruo,&Wang, Gang.(2023).A new family of high-order triangular weight functions for mass lumping in vibration analysis.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,38. |
MLA | Fan, Huo,et al."A new family of high-order triangular weight functions for mass lumping in vibration analysis".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2023):38. |
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