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Torsional oscillations of an elastic stratum

Torsionsschwingungen einer elastischen Schicht

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Summary

This paper is concerned with straightforward solution of the problem of torsional oscillations set up in an elastic stratum, one face of which is rigidly secured, by a rigid circular disk which is attached to the free surface of the material and which performs simple harmonic oscillations about its axis. The problem has been solved after reducing it to the solution of a Fredholm Integral Equation of the second kind.

Zusammenfassung

Die Arbeit beschäftigt sich mit der Lösung des Problems der Torsionsschwingungen in einer elastischen Schicht. Diese werden durch eine starre kreisscheibe erzeugt, die mit der freien Oberfläche der Schicht verbunden ist und einfache harmonische Schwingungen um die Rotationsachse ausführt, während die andere Grenzfläche der Schicht festgehalten wird. Das Problem wurde durch Rückführung auf eine Fredholmsche Integralgleichung zweiter Art gelöst.

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Authors and Affiliations

  1. Department of Mathematics, Rajshahi Government College, Rajshahi, East Pakistan

    S. M. Sharfuddin

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  1. S. M. Sharfuddin
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Sharfuddin, S.M. Torsional oscillations of an elastic stratum. Acta Mechanica 11, 1–8 (1971). https://doi.org/10.1007/BF01368114

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  • DOI: https://doi.org/10.1007/BF01368114

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