Zusammenfassung
Es wird ein Prinzip der stationären gegenseitigen potentiellen Energie aufgestellt für zwei Belastungssysteme eines elastischen Balkens veränderlicher Biegesteifigkeit. Aus diesem Prinzip wird eine hinreichende Bedingung für stationäres Gewicht eines Sandwichbalkens abgeleitet, wenn die von einer Belastung an einem bestimmten Querschnitt erzeugte Durchbiegung vorgeschrieben ist. Für statisch bestimmte Balken wird gezeigt, dass diese Bedingung ein globales Minimum des Gewichts sicherstellt. Anwendungsbeipiele und Erweiterungen werden besprochen.
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This research was supported in part (W. P.) by the U.S. Army Research Office, Durham.
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Shield, R.T., Prager, W. Optimal structural design for given deflection. Journal of Applied Mathematics and Physics (ZAMP) 21, 513–523 (1970). https://doi.org/10.1007/BF01587681
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DOI: https://doi.org/10.1007/BF01587681