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Stability Analysis of Axially Functionally Graded Heavy Column

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Mechanics of Composite Materials Aims and scope

The stability of axially functionally graded (AFG) heavy columns was analyzed. Consideration in stability analysis of the column is given to the free vibration and bucking problems. The mass density and Young’s modulus of the AFG heavy column vary along the column axis through a power-law function. Unified modeling of the differential equations with the associated boundary conditions governing the deformed shape of the free vibrations and buckling of the column was developed. Using a combination of direct numerical integration method and numerical solution method of nonlinear equation, differential equations were solved to calculate the natural frequency and the critical buckling load. Calculation results for the natural frequency and buckling load compare well with the FEM results. As a result of numerical experiments, the effects of material and geometric properties on the natural frequency and the buckling load were reported and discussed in detail.

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, Wonkwang University, 460 Iksan-daero, , Iksan-si, Jellabuk-do, 54538, Republic of Korea

    B. K. Lee

  2. Department of Civil Engineering, University of Seoul, 163 Seoulsiripdae-ro, Dongdaemun-gu, Seoul, 02504, Republic of Korea

    J. K. Lee

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Lee, B.K., Lee, J.K. Stability Analysis of Axially Functionally Graded Heavy Column. Mech Compos Mater 60, 335–352 (2024). https://doi.org/10.1007/s11029-024-10190-6

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