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Stress distribution in rotating aeolotropic laminated heterogeneous disc under action of a time-dependent loading

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Abstract

The problem of stress distribution in rotating aeolotropic laminated heterogeneous disc under action of a time-dependent loading is studied. A closed type solution in terms of modified Bessel and Lommel functions is obtained. The general procedure presented herein is valid for symmetrically laminated discs as well as for discs composed of materials with proportional properties. Numerous examples are shown indicating the effect of layers heterogeneity and layers thickness on the stress distribution.

Zusammenfassung

Es wurde die Spannungsverteilung in drehender aeolotropischer laminierter heterogener Scheibe unter der Einwirkung einer zeitabhängigen Belastung studiert. Eine geschlossene durch die modifizierten Bessel und Lommel Funktionen dargestellte Lösung wurde erhalten.

Das in dieser Arbeit dargelegte Verfahren kann sowohl für symmetrisch laminierte Scheiben als auch für solche mit proportional ändernden Werkstoffeigenschaften verwendet werden. Numerische Beispiele, welche die Einflüsse von Schichtheterogenität und -dicke auf die Spannungsverteilung zeigen, sind dargestellt.

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Author notes

  1. Michael R. Sitzer

    Present address: GEFAS mbH, Köln, BRD

Authors and Affiliations

  1. Institut für Werkstoffkunde, Lehrstuhl A, RWTH Aachen, BRD

    Michael R. Sitzer

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  1. Michael R. Sitzer
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Sitzer, M.R. Stress distribution in rotating aeolotropic laminated heterogeneous disc under action of a time-dependent loading. Z. angew. Math. Phys. 36, 134–145 (1985). https://doi.org/10.1007/BF00949038

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  • DOI: https://doi.org/10.1007/BF00949038

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