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Nonlinear vibration of Timoshenko FG porous sandwich beams subjected to a harmonic axial load

Lezgi, M ; Sharif University of Technology | 2024

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  1. Type of Document: Article
  2. DOI: 10.1007/s11803-024-2263-7
  3. Publisher: 2024
  4. Abstract:
  5. In this study, the instability and bifurcation diagrams of a functionally graded (FG) porous sandwich beam on an elastic, viscous foundation which is influenced by an axial load, are investigated with an analytical attitude. To do so, the Timoshenko beam theory is utilized to take the shear deformations into account, and the nonlinear Von-Karman approach is adopted to acquire the equations of motion. Then, to turn the partial differential equations (PDEs) into ordinary differential equations (ODEs) in the case of equations of motion, the method of Galerkin is employed, followed by the multiple time scale method to solve the resulting equations. The impact of parameters affecting the response of the beam, including the porosity distribution, porosity coefficient, temperature increments, slenderness, thickness, and damping ratios, are explicitly discussed. It is found that the parameters mentioned above affect the bifurcation points and instability of the sandwich porous beams, some of which, including the effect of temperature and porosity distribution, are less noticeable. © Institute of Engineering Mechanics, China Earthquake Administration 2024
  6. Keywords:
  7. Bifurcation diagrams ; Parametric excitation ; Sandwich beam ; Timoshenko beam ; Bifurcation (mathematics) ; Composite beams and girders ; Equations of motion ; Nonlinear equations ; Ordinary differential equations ; Particle beams ; Porosity ; Sandwich structures ; Bifurcation diagram ; Dynamic instability ; Equation of motion ; Functionally graded ; Non-linear vibrations ; Parametric excitations ; Porosity distributions ; Sandwich beams ; Timoshenko beams ; Timoshenko's beam theory ; Axial loads
  8. Source: Earthquake Engineering and Engineering Vibration ; Volume 23, Issue 3 , 2024 , Pages 649-662 ; 16713664 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s11803-024-2263-7