Investigating the Effect of Structural Heterogeneity Model on the Buckling Capacity of Thin-Walled Porous Functionally Graded I-Beams and Channel Beams

Document Type : Original Article

Authors

Reza Jahangiri ¹

Rasoul Ghanbari ²

Mikhail Naseri ³

Akbar Allahverdizadeh ⁴

Iraj Shakeri ⁵

¹ Department of Mechanical Engineering, Islamic Azad University, Salmas Branch.

² Faculty of Mechanical Engineering, University of Tabriz, Tabriz., Iran.

³ Department of Civil Engineering, Eslamic Azad University, Salmas branch.

⁴ Faculty of Mechanical Engineering, University of Tabriz, Tabriz

⁵ Department of Civil Engineering, Eslamic Azad University, Salmas branch

10.22067/jacsm.2025.92494.1322

Abstract

The modeling and prediction of the structural characteristics of thin-walled beams and columns are of significant importance due to the potential occurrence of lateral buckling under eccentric, concentrated, and distributed lateral loads. In the present study, by incorporating the effects of warping, heterogeneity, porosity, and based on Vlasov's assumptions and the application of Hamilton's principle, the governing characteristic equations for the lateral buckling of multi-layered thin-walled porous functionally graded I-beams and channel beams were introduced. Using the finite element method and describing the displacement components of points within the elements in terms of Lagrangian and Hermitian interpolation functions, the governing eigenvalue equation was solved numerically. To validate the results of this study, they were compared with other references. The effect of various parameters, particularly porosity index, mixing index, material modulus ratio, end-moment ratio, and cross-sectional strength parameter, on the load-bearing capacity of multilayer thin-walled beams under multiple boundary conditions was investigated. It was demonstrated that various parameters have an important role in determining the range of buckling instability.

Keywords

Vlasov'

s Assumptions

Functionally Graded Porous Beam

Lateral Buckling

Volume Fraction Index

Porosity Index

Subjects

• Solid mechanics

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