Coupled systems mechanics

  • 제13권4호
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  • Pages.359-373
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  • 2024
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  • 2234-2184(pISSN)
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  • 2234-2192(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Analysis of free vibration in bi-directional power law-based FG beams employing RSD theory

  • Nafissa Zouatnia (Department of Civil Engineering, University of Tiaret) ;
  • Lazreg Hadji (Department of Civil Engineering, University of Tiaret) ;
  • Hassen Ait Atmane (Laboratory of Structures Geotechnics and Risks, Department of Civil Engineering, Hassiba Benbouali University of Chlef) ;
  • Mokhtar Nebab (Laboratory of Structures Geotechnics and Risks, Department of Civil Engineering, Hassiba Benbouali University of Chlef) ;
  • Royal Madan (Department of Mechanical Engineering, Graphic Era (Deemed to be University)) ;
  • Riadh Bennai (Laboratory of Structures Geotechnics and Risks, Department of Civil Engineering, Hassiba Benbouali University of Chlef) ;
  • Mouloud Dahmane (Ecole National Superieur D'hydraulique)
  • 투고 : 2024.01.17
  • 심사 : 2024.07.18
  • 발행 : 2024.08.25
⟨ 이전 논문 다음 논문 ⟩

초록

The present study aims to investigate the free vibration of bi-directional functionally graded (BDFG) beams using a refined shear deformation (RSD) theory. Power law variation of material composition was considered along thickness and longitudinal directions. The beams are considered simply supported. The methodology adopted is the Hamilton principle and the governing equation was solved using Navier's method for simply supported boundary conditions. A metal-ceramic combination of materials was used to provide gradation as per power law variation. The equivalent elasticity modulus and density of BDFG were computed using the rule of mixture. The results of the study were related to published works and found to be a good match. The effect of grading parameters in the thickness and longitudinal direction was studied to investigate its impact on the natural frequency.

키워드

참고문헌

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