Initiation of Elastic Instability of the Laterally Loaded Circular Plates

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This paper deals with the measurement and the analysis of the critical load at the elastic inatability of circular plates, whose boundary is supported by equidistantly located and concentrated loads with numbers 2m (m:integer), each of which acts laterally in the opposite direction alternately. In the case of m-2, deflection of the plate becomes anticlastic, and instability from anticlastic to synclastic occurs with an increasing deflection of the plater. Similarly, in the case of m=3, the instability takes place but the synclastic deformation does not. The critical load decreases with an increase of (diameter/thickness) ratio of the plates. Introducing a non-dimensional couple, the critical value is proved to be a fixed value regardless of the ratio. The experimental results are in good agreement with the analysis.
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