Academic Journal
Bending and Vibration Analysis of a Mindlin Rectangular Nanoplate using Modified Couple Stress Theory and Navier's Solution
| العنوان: | Bending and Vibration Analysis of a Mindlin Rectangular Nanoplate using Modified Couple Stress Theory and Navier's Solution |
|---|---|
| المؤلفون: | Majid Eskandari Shahraki, Mahmoud Shariati, naser asiaban |
| المصدر: | International Journal of Advanced Design and Manufacturing Technology, Vol 15, Iss 1, Pp 21-28 (2022) |
| بيانات النشر: | Islamic Azad University-Isfahan (Khorasgan) Branch, 2022. |
| سنة النشر: | 2022 |
| المجموعة: | LCC:Technology |
| مصطلحات موضوعية: | bending, modified couple stress theory, mindlin nanoplate, navier's solution, vibration, Technology |
| الوصف: | In this paper, a Mindlin rectangular nanoplate model is developed for the bending and vibration analysis of a graphene nanoplate based on a modified couple stress theory. In order to consider the small scale effects, the modified couple stress theory, with one length scale parameter, is used. In modified couple stress theory, strain energy density is a function of strain tensor, curvature tensor, stress tensor and symmetric part of couple stress tensor. After obtaining the strain and kinetic energy, external work and substituting them in the Hamilton’s principle, the main and auxiliary equations of the nanoplate are obtained. Then, by manipulating the boundary conditions the governing equations are solved using Navier approach for bending and vibration of the nanoplate. The bending rates and dimensionless bending values under uniform surface traction and sinusoidal load and different mode frequencies are all obtained for various plate's dimensional ratios and material length scale to thickness ratios. The effect of material length scale, length, width and thickness of the nanoplate on the bending and vibration ratios are investigated and the results are presented and discussed in details. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2252-0406 2383-4447 |
| Relation: | https://admt.isfahan.iau.ir/article_687318_2d05a27b69d10b44199f6a71540d6147.pdf; https://doaj.org/toc/2252-0406; https://doaj.org/toc/2383-4447 |
| DOI: | 10.30486/admt.2021.1923209.1252 |
| URL الوصول: | https://doaj.org/article/1f636c06477140b38420d0e5d4f07b19 |
| رقم الانضمام: | edsdoj.1f636c06477140b38420d0e5d4f07b19 |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 22520406 23834447 |
|---|---|
| DOI: | 10.30486/admt.2021.1923209.1252 |