A thickness-torsion-locking first-order shear plate theory for analyzing bending and free vibration of rectangular plates
文献类型：期刊论文
| 作者 | Wang, YaWei3; Chen J(陈健)2; Zhou, XinHui1; Li, XianFang3 |
| 刊名 | STRUCTURES
 |
| 出版日期 | 2024-11-01 |
| 卷号 | 69页码:13 |
| 关键词 | Simplified Mindlin plate theory Moderately thick plate Static bending Free vibration Thickness torsion locking |
| ISSN号 | 2352-0124 |
| DOI | 10.1016/j.istruc.2024.107468 |
| 通讯作者 | Li, Xian-Fang(xfli@csu.edu.cn) |
| 英文摘要 | The well-known Kirchhoff or classical plate theory (KPT) is a powerful tool for analyzing the mechanical behavior of thin plates. The Mindlin plate theory (MPT) considers shear deformation and rotary inertia (which are both excluded in the KPT), and is capable of applying to moderately thick plates. However, the solutions derived from the MPT are quite complicated. In this paper, a thickness torsion locking first- order shear deformation plate theory or simplified Mindlin plate theory (SMPT) is introduced to oversome the shortcomings of both the KPT and MPT. In the presence of shear deformation and rotary inertia, a fourth-order governing partial differential equation is derived. To ensure the consistency between the order of the governing equation and the number of boundary conditions, the twisting moment boundary condition is converted to an effective shear force, similar to the treatment in the KPT. The static bending and free vibration of rectangular plates with typical boundary supports are analyzed using Navier's and Levy's methods, respectively. A comparison of the deflection and natural frequencies is conducted among the KPT, SMPT and MPT. The effect of aspect ratio and thickness-to-length ratio on the deflection and natural frequencies is examined. The results demonstrate that SMPT is efficient and applicable to thin and thick plates. The SMPT can be further extended to with multi-field and size behaviors. |
| 分类号 | 二类/Q1 |
| WOS关键词 | MINDLIN PLATES ; RESTRAINED EDGES ; COLLOCATION ; TIMOSHENKO |
| 资助项目 | National Natural Science Founda-tion of China[12372086] ; National Natural Science Founda-tion of China[12072374] |
| WOS研究方向 | Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:001336136900001 |
| 资助机构 | National Natural Science Founda-tion of China |
| 其他责任者 | Li, Xian-Fang |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/97100]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 作者单位 | 1.China Huaxi Engn Design & Construct Co Ltd, Foshan Branch, Shilong South Rd, Foshan 528200, Guandong, Peoples R China 2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China; 3.Cent South Univ, Sch Civil Engn, Changsha 410075, Peoples R China; |
| 推荐引用方式 GB/T 7714 | Wang, YaWei,Chen J,Zhou, XinHui,et al. A thickness-torsion-locking first-order shear plate theory for analyzing bending and free vibration of rectangular plates[J]. STRUCTURES,2024,69:13. |
| APA | Wang, YaWei,陈健,Zhou, XinHui,&Li, XianFang.(2024).A thickness-torsion-locking first-order shear plate theory for analyzing bending and free vibration of rectangular plates.STRUCTURES,69,13. |
| MLA | Wang, YaWei,et al."A thickness-torsion-locking first-order shear plate theory for analyzing bending and free vibration of rectangular plates".STRUCTURES 69(2024):13. |
入库方式： OAI收割
来源：力学研究所
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