Abstract
A three-dimensional method for determination of natural vibration frequencies of prestressed flat composite blocks is proposed. Two approaches are used: analytic separation of variables and reduction of the three-dimensional problem to a two-dimensional one using the hypothesis method based on polynomial approximation of the required functions according to the structure thickness. The proposed hypothesis method provides generalized discrete- and continuous-structure approaches for mathematical modeling of layered structure deformation.
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Ukraine Transport University, Kiev, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 35, No. 4, pp. 47–53, April, 1999.
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Marchuk, A.V., Piskunov, V.G. Natural vibrations of prestressed flat composite blocks. Int Appl Mech 35, 366–371 (1999). https://doi.org/10.1007/BF02682219
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DOI: https://doi.org/10.1007/BF02682219