Steel and Composite Structures

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Effects of micromechanical models on the dynamics of functionally graded nanoplate

  • Tao Hai (School of Computer and Information, Qiannan Normal University for Nationalities) ;
  • A. Yvaz (World-class research center "Advanced Digital Technologies", State Marine Technical University) ;
  • Mujahid Ali (Department of Transport System, Traffic Engineering, and Logistics, Faculty of Transport and Aviation Engineering, Silesian University of Technology) ;
  • Stanislav Strashnov (General Education Courses Department, Peoples' Friendship University of Russia (RUDN University)) ;
  • Mohamed Hechmi El Ouni (Department of Civil Engineering, College of Engineering, King Khalid University) ;
  • Mohammad Alkhedher (Mechanical Engineering Department, Abu Dhabi University) ;
  • Arameh Eyvazian (Mechanical and Industrial Engineering Department, College of Engineering, Qatar University)
  • Received : 2020.03.19
  • Accepted : 2023.01.02
  • Published : 2023.07.25
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Abstract

The present research investigates how micromechanical models affect the behavior of Functionally Graded (FG) plates under different boundary conditions. The study employs diverse micromechanical models to assess the effective material properties of a two-phase particle composite featuring a volume fraction of particles that continuously varies throughout the thickness of the plate. Specifically, the research examines the vibrational response of the plate on a Winkler-Pasternak elastic foundation, considering different boundary conditions. To achieve this, the governing differential equations and boundary conditions are derived using Hamilton's principle, which is based on a four-variable shear deformation refined plate theory. Additionally, the Galerkin method is utilized to compute the plate's natural frequencies. The study explores how the plate's natural frequencies are influenced by various micromechanical models, such as Voigt, Reuss, Hashin-Shtrikman bounds, and Tamura, as well as factors such as boundary conditions, elastic foundation parameters, length-to-thickness ratio, and aspect ratio. The research results can provide valuable insights for future analyses of FG plates with different boundaries, utilizing different micromechanical models.

Keywords

Acknowledgement

This work was supported by Foundation of State Key Laboratory of Public Big Data (No.2023004), UTM Research Fellow (No.00P27), the National Natural Science Foundation of China (No.61862051), the Science and Technology Foundation of Guizhou Province (No.[2019]1299, No.ZK [2022]449), the Top-notch Talent Program of Guizhou province (No.KY[2018]080), the Natural Science Foundation of Education of Guizhou province(No.[2019]203) and the Funds of Qiannan Normal University for Nationalities (No. qnsy2019rc09). The Educational Department of Guizhou under Grant No. KY [2019]067. Key Laboratory of Advanced Manufacturing Technology of the Ministry of Education of Guizhou University (GZUAMT2022KF [07]) The research is partially funded by the Ministry of Science and Higher Education of the Russian Federation as part of World-class Research Center program: Advanced Digital Technologies (contract No. 075-15-2022-312 dated 20.04.2022) This research is supported by Abu Dhabi's Advanced Technology Research Council via the ASPIRE Award for Research Excellence program through Project Number AARE20-250. This paper has been supported by the RUDN University Strategic Academic Leadership Program. The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through large group Research Project under grant number RGP2/6/44 This research is supported by ASPIRE, the technology program management pillar of Abu Dhabi's Advanced Technology Research Council (ATRC), via the ASPIRE Award for Research Excellence initiative.

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