โ Scribed by Ye.Z. Korol'
No coin nor oath required. For personal study only.
A techmque ~s developed for solving boundary-value problems of non-axisymmetric longitudinal-transverse bending in thin cylindrical orthotropic linearly thermo-elastic annular and solid circular plates on a linearly elastic base in a classical setting, The given and unknown functions are represented by Fourier expansions. The solving system of fourth-order ordinary differential equations is of Bessel type. The solution of the homogeneous system is obtained by a technique developed previously~: (which generalises the Neumann-Weber-Schl~ifli technique [1-5]) for determining fundamental solutions in the form of generalized power sertes-higher-order cylindrical functions of first, second and higher kinds, based on the property of the continuous dependence of the solutions on the parameters. Particular solutions are determined by Lagrange's method (the variation of arbitrary constants). The results of numerical calculations are presented for plates with a hinge-supported outer contour in which the inner contour ts loaded with distributed bending moments.
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