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Modified Spline Collocation Method in the Problems of Thin Rectangular Viscoelastic Plate Vibration

Authors: Nedorezov P. F., Romakina О. М., Safonov R. A.

Numerical method for evaluation of critical frequencies during steadystate bending vibrations of viscoelastic plate is presented. The solution is based on applying modified spline collocation method for lowering the problem’s dimension and numerical solving of the obtained problem via discrete orthogonalization method. The application of this approach with different boundary conditions is examined in detail.

Spline-Collocation Method and its Modification in the Problems of Static Bending of Thin Orthotropic Rectangular Plate

Authors: Romakina О. М., Shevzova Y. V.

A numerical method for determining the stress-strain state (SSS) of a bended thin rectangular plate with non-classical boundary conditions is presented. Numerical results for three different materials can be used to estimate the influence of the material anisotropy and boundary conditions on its SSS.

 

The Geometrical Irregular Plates under the Influence of the Quick Changed on the Time Coordinate Forces and Temperature Effects

Authors: Belostochnyj G. N., Mylcina O. A.

On the basis of incoherent thermoelasticity, the dynamic behaviour of geometrically irregular plates under the influence of quick changed, on the time coordinate, forces and temperature effects on surfaces is considered. An approach allowing to obtain the analytical solution of the thermoelasticity dynamic problem for the plate under inhomogeneous boundary conditions at all four edges is suggested.