Smart Structures and Systems

  • 제26권3호
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  • Pages.361-371
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  • 2020
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  • 1738-1584(pISSN)
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  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Exact solution for nonlinear vibration of clamped-clamped functionally graded buckled beam

  • Selmi, Abdellatif (Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University)
  • 투고 : 2020.01.03
  • 심사 : 2020.03.27
  • 발행 : 2020.09.25
⟨ 이전 논문 다음 논문 ⟩

초록

Exact solution for nonlinear behavior of clamped-clamped functionally graded (FG) buckled beams is presented. The effective material properties are considered to vary along the thickness direction according to exponential-law form. The in-plane inertia and damping are neglected, and hence the governing equations are reduced to a single nonlinear fourth-order partial-integral-differential equation. The von Kármán geometric nonlinearity has been considered in the formulation. Galerkin procedure is used to obtain a second order nonlinear ordinary equation with quadratic and cubic nonlinear terms. Based on the mode of the corresponding linear problem, which readily satisfy the boundary conditions, the frequencies for the nonlinear problem are obtained using the Jacobi elliptic functions. The effects of various parameters such as the Young's modulus ratio, the beam slenderness ratio, the vibration amplitude and the magnitude of axial load on the nonlinear behavior are examined.

키워드

과제정보

This project was supported by the Deanship of Scientific Research at Prince Sattam Bin Abdulaziz University under the research project No: 11267/01/2019.

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