The subjects of the research are vibrations of thin plates on viscoelastic basis. Differential equations describing vibrations of a thin plate as well as those which describe viscoelastic basis have been solved by two methods: the finite elements method and the method of Zienkiewicz – Wood. In order to illustrate the correctness of proposed methodology of solution, a computer program has been created. The program was used for specific calculations for thin plates on viscoelastic basis and the analysis of the results was performed.

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