| A thickness-torsion-locking first-order shear plate theory for analyzing bending and free vibration of rectangular plates | |
| Wang, YaWei1; Chen J(陈健)2; Zhou, XinHui3; Li, XianFang1 | |
| Corresponding Author | Li, Xian-Fang([email protected]) |
| Source Publication | STRUCTURES
 |
| 2024-11-01 | |
| Volume | 69Pages:13 |
| ISSN | 2352-0124 |
| Abstract | 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. |
| Keyword | Simplified Mindlin plate theory Moderately thick plate Static bending Free vibration Thickness torsion locking |
| DOI | 10.1016/j.istruc.2024.107468 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:001336136900001 |
| WOS Keyword | MINDLIN PLATES ; RESTRAINED EDGES ; COLLOCATION ; TIMOSHENKO |
| WOS Research Area | Engineering |
| WOS Subject | Engineering, Civil |
| Funding Project | National Natural Science Founda-tion of China[12372086] ; National Natural Science Founda-tion of China[12072374] |
| Funding Organization | National Natural Science Founda-tion of China |
| Classification | 二类/Q1 |
| Ranking | 1 |
| Contributor | Li, Xian-Fang |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/97101 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.Cent South Univ, Sch Civil Engn, Changsha 410075, Peoples R China; 2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China; 3.China Huaxi Engn Design & Construct Co Ltd, Foshan Branch, Shilong South Rd, Foshan 528200, Guandong, Peoples R China |
| Recommended Citation 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.Rp_Au:Li, Xian-Fang |
| 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. |
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