Application of a spline-collocation method to the problems of thick viscoelastic plate-strip vibrations

Vibratory bend of a thick plate-strip with arbitrary edge fixing is considered. The equations of 3D viscoelastic theory in displacements are accepted as governing equations. Boundary problem dimensions reduction is realized with spline-collocation method. 1D boundary problem is solved numerically using discrete orthogonalization method. New effects that cannot be explained with the classic Kirhgof theory are mentioned.