Geodesic
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. 1-2, pp. 58-66 
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. 1-2, pp. 58-66. http://geodesic.mathdoc.fr/item/ISU_2006_6_1-2_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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[4] Zavyalov Yu. S., Kvasov Yu. I., Miroshnichenko V. L., Metody splain-funktsii, Nauka, M., 1980, 352 pp.

[5] Nedorezov P. F., “Ob uchete poperechnykh sdvigov i inertsii vrascheniya pri vibratsionnom izgibe vyazkouprugoi plastinki-polosy”, Mekhanika deformiruemykh sred, 14, Izd-vo Sarat. un-ta, Saratov, 2002, 144–151