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The transient mixed problem for an elastic semi-strip

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Abstract

The transient mixed problem for an elastic semi-strip is investigated in this article. The semi-strip is loaded by a transient load at the center of its short edge. The longitudinal sides of the semi-strip are fixed. The initial problem is reduced to a one-dimensional problem with the help of Laplace and Fourier transforms. The analytical solution of the one-dimensional boundary problem is constructed with the help of matrix differential calculation apparatus. The original functions are found with the help of mutual inversion of Laplace–Fourier transform. Here the Laplace originals were derived by the new approach based on expansion of Laplace transform in a multiple series. The wave field of the semi-strip was investigated depending on time and geometric parameters.

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Acknowledgements

Gratitude for Simon Dyke for the editing of the article’s text.

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Authors and Affiliations

  1. Faculty of Mathematics, Physics and Informational Technologies, Odessa I.I. Mechnikov National University, Dvoryanska str., 2, Odessa, 65082, Ukraine

    Natalya Vaysfeld & Zinaida Zhuravlova

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  1. Natalya Vaysfeld
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  2. Zinaida Zhuravlova
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Correspondence to Zinaida Zhuravlova.

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Vaysfeld, N., Zhuravlova, Z. The transient mixed problem for an elastic semi-strip. J Eng Math 127, 16 (2021). https://doi.org/10.1007/s10665-021-10106-6

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