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The perturbation solution of the large elastic curve of buckled bars and the singular perturbation method for its imperfect bifurcation problem

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Abstract

This paper presents the large deflection elastic curve of buckled bars through perturbation method, and the bifurcation diagrams including the influence of the imperfection at the base by using singular perturbation method of imperfect bifurcation theory. The physical meaning of the bifurcation diagrams is discussed.

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References

  1. Timoshenko, S.P. and J.M. Gere,Theory of Elastic Stability, Second edition, McGraw-Hill (1961).

  2. Matkowsky, B.J. and E.L. Reiss, Singular perturbations of bifurcations,SIAM J. Appl. Math.,33, 2, Sep.(1977).

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  3. Iooss, Gérard and D.D. Joseph,Elementary Stability and Bifurcation Theory, Springer-Verlag (1980).

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

    Zhou Zhe-wei

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  1. Zhou Zhe-wei
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Communicated by Pan Li-zhou

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Zhe-wei, Z. The perturbation solution of the large elastic curve of buckled bars and the singular perturbation method for its imperfect bifurcation problem. Appl Math Mech 8, 345–354 (1987). https://doi.org/10.1007/BF02015255

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  • DOI: https://doi.org/10.1007/BF02015255

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