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On the uniqueness of solution of problems of elasticity connected with the bending of thin plates under normal pressures. - MaRDI portal

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On the uniqueness of solution of problems of elasticity connected with the bending of thin plates under normal pressures. (Q560475)

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scientific article; zbMATH DE number 2547626
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English
On the uniqueness of solution of problems of elasticity connected with the bending of thin plates under normal pressures.
scientific article; zbMATH DE number 2547626

    Statements

    On the uniqueness of solution of problems of elasticity connected with the bending of thin plates under normal pressures. (English)
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    1933
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    Einfacher Beweis für die Eindeutigkeit des Problems der Biegung einer dünnen elastischen Platte, die durch Querkräfte belastet ist, deren Ränder eingespannt oder gelenkig gelagert oder frei sind. Für freie Ränder wird die Lösung unbestimmt in dem Sinne, daß\ zwei Lösungen, die die Grenzbedingungen erfüllen, sich nur durch eine lineare Funktion der Koordinaten unterscheiden können. - Das Ergebnis läßt sich unmittelbar auf das Problem der Querschwingungen dünner Platten übertragen.
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