A novel hybrid function-based Ritz method for static and free vibration of axially loaded bi-directional functionally graded porous beams

• Quoc-Cuong Le ^[3] ; Ngoc-Duong Nguyen ^[1] ; Thuc P. Vo ^[2]
  1. [1] Ho Chi Minh City University of Technology and Education

     Ho Chi Minh City University of Technology and Education

     Vietnam

     
  2. [2] La Trobe University

     La Trobe University

     Australia

     
  3. [3] Institute of Engineering and Technology, Thu Dau Mot University, Thu Dau Mot, Vietnam

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• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 53, Nº. 4, 2025, págs. 2423-2451
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • This paper introduces a novel hybrid function, synthesizing trigonometric and Hermitian polynomials, to analyze the structural responses of bi-directional functionally graded porous (2D-FGP) beams. The displacement field of the beam is based on the higher-order shear deformation theory. A power-law relation governs the material variation along the x- and z-directions, with the porosity manifesting in three distinct distributions. The governing equations are deduced through the application of Lagrange’s equation. The proposed hybrid function is developed to delineate the displacement field. The deflections, stresses, buckling loads, and natural frequencies of 2D-FGP beams are computed for diverse gradation exponents in the x- and z-directions, boundary conditions, porosity type, porosity coefficient, and slenderness ratio. A comparative assessment with finite element method results indicates that the findings agree with available data. It substantiates the accuracy and efficiency of the proposed methodology.