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首页> 外文期刊>Journal of nano research >A Novel Refined Plate Theory for Free Vibration Analyses of Single-Layered Graphene Sheets Lying on Winkler-Pasternak Elastic Foundations
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A Novel Refined Plate Theory for Free Vibration Analyses of Single-Layered Graphene Sheets Lying on Winkler-Pasternak Elastic Foundations

机译：用于Winkler-Pasternak弹性地基上的单层石墨烯片自由振动分析的新型精板理论

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摘要

In this article, the analyses of free vibration of nanoplates, such as single-layered graphene sheets (SLGS), lying on an elastic medium is evaluated and analyzed via a novel refined plate theory mathematical model including small-scale effects. The noteworthy feature of theory is that the displacement field is modelled with only four unknowns, which is even less than the other shear deformation theories. The present one has a new displacement field which introduces undetermined integral variables, the shear stress free condition on the top and bottom surfaces of the plate is respected and consequently, it is unnecessary to use shear correction factors. The theory involves four unknown variables, as against five in case of other higher order theories and first-order shear deformation theory. By using Hamilton's principle, the nonlocal governing equations are obtained and they are solved via Navier solution method. The influences played by transversal shear deformation, plate aspect ratio, side-to-thickness ratio, nonlocal parameter, and elastic foundation parameters are all examined. From this work, it can be observed that the small-scale effects and elastic foundation parameters are significant for the natural frequency.
机译：在本文中，通过新型的包括小范围效应的精细平板理论数学模型，对位于弹性介质上的纳米板（如单层石墨烯片（SLGS））的自由振动进行了评估和分析。该理论的显着特征是，位移场仅用四个未知数建模，甚至比其他剪切变形理论还小。本发明具有新的位移场，其引入了不确定的积分变量，考虑了板的顶面和底面的无剪切应力条件，因此，不必使用剪切校正因子。该理论涉及四个未知变量，而其他高阶理论和一阶剪切变形理论则为五个。利用汉密尔顿原理，得到非局部控制方程，并通过Navier解法进行求解。都检查了横向剪切变形，板高宽比，边厚比，非局部参数和弹性地基参数的影响。从这项工作可以看出，小尺度效应和弹性地基参数对于固有频率很重要。

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  • 来源
    《Journal of nano research》 |2019年第2019期|151-164|共14页
  • 作者

    Boukhatem Fatima; Bessaim Aicha; Kaci Abdelhakim; Mouffoki Abderrahmane; Houari Mohammed Sid Ahmed; Tounsi Abdelouahed; Heireche Houari; Bousahla Abdelmoumen Anis;

  • 作者单位

    Univ Djillali Liabes Sidi Bel Abbes, Dept Phys, Fac Sci Exactes, Lab Modelisat & Simulat Multiechelle, Sidi Bel Abbes, Algeria;

    Univ Mustapha Stambouli Mascara, Dept Civil Engn, Mascara, Algeria|Univ Djillali Liabes Sidi Bel Abbes, Fac Technol, Civil Engn Dept, Mat & Hydrol Lab, Sidi Bel Abbes, Algeria;

    Univ Djillali Liabes Sidi Bel Abbes, Fac Technol, Civil Engn Dept, Mat & Hydrol Lab, Sidi Bel Abbes, Algeria|Univ Saida, Dept Civil Engn & Hydraul, Saida, Algeria;

    Univ Djillali Liabes Sidi Bel Abbes, Fac Technol, Civil Engn Dept, Mat & Hydrol Lab, Sidi Bel Abbes, Algeria;

    Univ Mustapha Stambouli Mascara, Dept Civil Engn, Mascara, Algeria|Univ Djillali Liabes Sidi Bel Abbes, Fac Technol, Civil Engn Dept, Mat & Hydrol Lab, Sidi Bel Abbes, Algeria|King Abdulaziz Univ, Ctr Excellence Adv Mat Res, Jeddah 21589, Saudi Arabia|King Fahd Univ Petr & Minerals, Dept Civil & Environm Engn, Dhahran 31261, Eastern Provinc, Saudi Arabia;

    Univ Djillali Liabes Sidi Bel Abbes, Fac Technol, Civil Engn Dept, Mat & Hydrol Lab, Sidi Bel Abbes, Algeria;

    Univ Djillali Liabes Sidi Bel Abbes, Dept Phys, Fac Sci Exactes, Lab Modelisat & Simulat Multiechelle, Sidi Bel Abbes, Algeria;

    Univ Djillali Liabes Sidi Bel Abbes, Dept Phys, Fac Sci Exactes, Lab Modelisat & Simulat Multiechelle, Sidi Bel Abbes, Algeria|Ctr Univ Ahmed Zabana Relizane, Inst Sci & Technol, Relizane, Algeria;

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  • 正文语种 eng
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  • 关键词

    Vibration; nanoplates; nonlocal elasticity theory; novel shear deformation theory; Winkler-Pasternak elastic foundation;

    机译：振动;纳米板;非局部弹性理论;新剪变形理论;Winkler-Pasternak弹性地基;

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