Steel and Composite Structures

  • 제50권1호
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  • Pages.25-43
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  • 2024
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Vibration of bio-inspired laminated composite beams under varying axial loads

  • Tharwat Osman (Department of Engineering Mathematics, Faculty of Engineering) ;
  • Salwa A. Mohamed (Department of Engineering Mathematics, Faculty of Engineering) ;
  • Mohamed A. Eltaher (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University) ;
  • Mashhour A. Alazwari (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University) ;
  • Nazira Mohamed (Department of Engineering Mathematics, Faculty of Engineering)
  • 투고 : 2022.02.15
  • 심사 : 2023.12.11
  • 발행 : 2024.01.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this article, a mathematical model is developed to predict the dynamic behavior of bio-inspired composite beam with helicoidal orientation scheme under variable axial load using a unified higher order shear deformation beam theory. The geometrical kinematic relations of displacements are portrayed with higher parabolic shear deformation beam theory. Constitutive equation of composite beam is proposed based on plane stress problem. The variable axial load is distributed through the axial direction by constant, linear, and parabolic functions. The equations of motion and associated boundary conditions are derived in detail by Hamilton's principle. Using the differential quadrature method (DQM), the governing equations, which are integro-differential equations are discretized in spatial direction, then they are transformed into linear eigenvalue problems. The proposed model is verified with previous works available in literatures. Parametric analyses are developed to present the influence of axial load type, orthotropic ratio, slenderness ratio, lamination scheme, and boundary conditions on the natural frequencies of composite beam structures. The present enhanced model can be used especially in designing spacecrafts, naval, automotive, helicopter, the wind turbine, musical instruments, and civil structures subjected to the variable axial loads.

키워드

참고문헌

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