Steel and Composite Structures

  • 제41권6호
  • /
  • Pages.787-803
  • /
  • 2021
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Nonlinear thermal vibration of pre/post-buckled two-dimensional FGM tapered microbeams based on a higher order shear deformation theory

  • Hendi, Asmaa A. (Department of Physics, Faculty of Science, AL Faisaliah Campus, King Abdulaziz University) ;
  • Eltaher, Mohamed A. (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University (KAU)) ;
  • Mohamed, Salwa A. (Engineering Mathematics Department, Faculty of Engineering, Zagazig University) ;
  • Attia, Mohamed A. (Department of Mechanical Design and Production Engineering, Faculty of Engineering, Zagazig University) ;
  • Abdalla, A.W. (Department of Mechanical Design and Production Engineering, Faculty of Engineering, Zagazig University)
  • 투고 : 2020.08.19
  • 심사 : 2021.10.24
  • 발행 : 2021.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

The size-dependent nonlinear thermomechanical vibration analysis of pre- and post-buckled tapered two-directional functionally graded (2D-FG) microbeams is presented in this study. In the context of the modified couple stress theory, the formulations are derived based on the parabolic shear deformation beam theory and von Karman nonlinear strains. Different thermomechanical material properties are assumed to be temperature-dependent and smoothly vary in both length and thickness directions using the power law and the physical neutral axis concept is employed. The nonlinear governing equations are derived using the Hamilton principle and the resulting variable coefficient equations of motion are solved using the differential quadrature method (DQM) and iterative Newton's method for clamped-clamped and simply supported boundary conditions. Comparison studies are presented to validate the derived model and solution procedure. The impacts of induced thermal moments, temperature power index, two gradient indices, nonuniform cross-section, and microstructure length scale parameter on the frequency-temperature configurations are explored for both clamped and simply supported microbeams.

키워드

과제정보

This project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under grant No. (D-122-363-1440). The authors, therefore, gratefully acknowledge DSR technical and financial support.

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