Abstract
This paper deals with the free vibration of continuous rectangular plates and the optimization of the fundamental frequency. Some of the complicated effects of material orthotropy, variable thickness and in-plane loading are considered in the vibration analysis. In the optimization process, the span length of line supports is used as the design variable, and the lowest frequency is maximized as the object function. In numerical examples. the optimal spans are thus determined for three span plates, and the effects of varying support conditions, orthotropy and in-plane forces are discussed.
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