A numerical--experimental method for identification of the elastic properties of laminated polymeric composites from the experimental results for eigenfrequencies of the plates is developed. The elastic properties of single layer of the laminated plate are the parameters to be identified. The approach is based on the finite element simulation of the vibration problem. By using the method of planning of experiments and the data obtained by the finite element solution simple models containing the parameters to be identified have been obtained. These simple models and the data of the vibration experiment are used to identify the elastic properties of the layer. Good agreement between the reference solutions and the results obtained by the method of planning of experiments have been observed. The proposed approach can be used as a non-destructive method in order to determine the elastic properties of the layer in the laminated composites.
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