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Buckling Analysis of Axially Functionally Graded and Non-Uniform Beams Based on Timoshenko Theory

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Abstract

In this paper, the buckling behaviors of axially functionally graded and non-uniform Timoshenko beams were investigated. Based on the auxiliary function and power series, the coupled governing equations were converted into a system of linear algebraic equations. With various end conditions, the characteristic polynomial equations in the buckling loads were obtained for axially inhomogeneous beams. The lower and higher-order eigenvalues were calculated simultaneously from the multi-roots due to the fact that the derived characteristic equation was a polynomial one. The computed results were in good agreement with those analytical and numerical ones in literature.

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Authors and Affiliations

  1. Department of Mathematics, Foshan University, 528000, Foshan, China

    Yong Huang & Haiwu Rong

  2. Oriental Science and Technology College, Hunan Agricultural University, 410128, Changsha, China

    Meng Zhang

Authors
  1. Yong Huang
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  2. Meng Zhang
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  3. Haiwu Rong
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Corresponding author

Correspondence to Meng Zhang.

Additional information

Project supported by the Funds of the Natural Science Foundation of Guangdong Province (Nos. S2013010012463 and S2013010014485), the Excellent Teacher Scheme in Guangdong Higher Education Institutions (No. Yq2014332) and the Funds of the Guangdong college discipline construction (Nos. 2013KJCX0189 and 2014KZDXM063).

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Huang, Y., Zhang, M. & Rong, H. Buckling Analysis of Axially Functionally Graded and Non-Uniform Beams Based on Timoshenko Theory. Acta Mech. Solida Sin. 29, 200–207 (2016). https://doi.org/10.1016/S0894-9166(16)30108-2

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  • DOI: https://doi.org/10.1016/S0894-9166(16)30108-2

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