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

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.