| Abstract: | The natural frequencies of vibrations of laminated plates are determined in a three-dimensional formulation by analytical separation of the sought functions for plate thickness. The system of differential equations which describes the natural vibrations of the plates is solved analytically. The solution makes it possible to study plates with a large number of layers, including orthotropic plates with elastic characteristics that vary through the thickness. Numerical experiments show that a step approximation can be used to approximate the variable elastic modulus. Ukrainian Transportation University, Kiev, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 35, No. 2, pp. 47–53, February, 1999. |
