Summary
An analysis is made of the problem of vibrations of a two-layered plate resting on a compressible fluid half-space. The infinitely long layers are joined together by an elastic bonding agent and one of the layers is subjected to a step load which moves with a constant speed along the layer. The solution is presented within the framework of a plate theory which includes the effects of shear deformation and rotary inertia. An example is provided where the bending moments of the layers and the fluid pressure are calculated. From the results of theoretical analysis, it becomes evident that the stiffness of the bonding agent has considerable effect upon the dynamic behaviour of the system.
Übersicht
Die Schwingungen einer auf kompressibler Flüssigkeit liegenden, zweischichtigen Platte werden für den Fall analysiert, daß die unendlichen Schichten durch einen elastischen Klebstoff verbunden sind, und daß eine Stufenlast an einer Schicht angreift, die sich mit konstanter Geschwindigkeit entlang der Schicht verschiebt. Die Lösung wird im Rahmen einer Plattentheorie gegeben, die die Wirkung der Schubverformung und die Drehtätigkeit berücksichtigt. In einem Beispiel werden die Biegemomente der Schichten und der Flüssigkeitsdruck ermittelt. Die Ergebnisse zeigen, daß die Steifigkeit des Klebstoffs auf daß dynamische Verhalten des Systems erheblichen Einfluß hat.
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The author wishes to acknowledge the consistent guidance and encouragement of Professor H. Saito of Tohoku University
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Chonan, S. Moving load on a two-layered plate with imperfect bonding, resting on a fluid half-space. Ing. arch 49, 97–106 (1980). https://doi.org/10.1007/BF02627751
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DOI: https://doi.org/10.1007/BF02627751