Application of a spline-collocation method to the problems of thick viscoelastic plate-strip vibrations
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 6 (2006) no. 1, pp. 58-66

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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.
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     title = {Application of a spline-collocation method to the problems of thick viscoelastic plate-strip vibrations},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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P. F. Nedorezov. Application of a spline-collocation method to the problems of thick viscoelastic plate-strip vibrations. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 6 (2006) no. 1, pp. 58-66. http://geodesic.mathdoc.fr/item/ISU_2006_6_1_a6/