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Biparametric perturbation solutions of large deflection problem of cantilever beams

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Abstract

The large deflection problem of cantilever beams was studied by means of the biparametric perturbation method and the first order derivative substitution from pseudolinear analysis approach. This kind of substitution can transform the basic equation, an integral differential equation into nonlinear algebraic ones, thus simplify computational process. Compared with present results, it indicates that the large deflection problem solved by using pseudolinear analysis can lead to simple and precise results.

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Correspondence to He Xiao-ting Doctor  (何晓婷).

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Contributed by CHEN Shan-lin

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He, Xt., Chen, Sl. Biparametric perturbation solutions of large deflection problem of cantilever beams. Appl Math Mech 27, 453–460 (2006). https://doi.org/10.1007/s10483-006-0404-z

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  • DOI: https://doi.org/10.1007/s10483-006-0404-z

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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