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On the generalized PLK method and its applications

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Abstract

In this paper, we propose a generalized form of the PLK method. To solve weakly nonlinear problems, in straining the related coordinates, we choose a kind of transformations including nonlinear functionals of dependent variables to linearize asymptotically the original problems, and give more perfect asymptotic solutions with the first-term approximation and the derived transformations. The analysis for some practical examples shows that the generalized method is straightforward and effective and might be applied to more complicated nonlinear problems.

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Authors and Affiliations

  1. Shanghai Institute of Appl ied Mathematics and Mechanics, Shanghai University of Technology, Shanghai, China

    Dai Shiqiang

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  1. Dai Shiqiang
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Additional information

To the memory of the late Professor Kuo Yung-huai for the 80th anniversary of his birth.

The project is supported by the National Natural Science Foundation of China.

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Shiqiang, D. On the generalized PLK method and its applications. Acta Mech Sinica 6, 111–118 (1990). https://doi.org/10.1007/BF02488441

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  • DOI: https://doi.org/10.1007/BF02488441

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