| Abstract: | A system of equilibrium equations for a transversely isotropic plate is derived by expanding the unknown functions in a Fourier
series in Legendre polynomials of the thickness coordinate. It breaks up into two groups of equations corresponding to a generalized
two-dimensional stressed state and bending of the plate. A method is presented for representing the general solution for the
first group in an arbitrary approximation as biharmonic, irrotational, and vortical solutions.
Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Teoreticheskaya i Prikladnaya Mekhanika,
No. 30, pp. 3–12, 1999. |
