Numerical research of static bending of plates at~the local influences along complex form curves
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2011), pp. 183-187.

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The numerical solution for the problems of static bending of thin plates by spline collocation method is considered. The local loads of a special type are used as external forces. Their efficiency as the approximation of concentrated loads applied along compound curves is estimated. The results obtained by this method are compared with those calculated by finite element software.
Keywords: plates, local loads, spline-collocation method.
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R. A. Safonov. Numerical research of static bending of plates at~the local influences along complex form curves. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2011), pp. 183-187. http://geodesic.mathdoc.fr/item/VSGTU_2011_4_a24/

[1] Grigorenko Ya. M., “Approaches to the numerical solution of linear and nonlinear problems in shell theory in classical and refined formulations”, Int. Appl. Mech., 32:6, 409–442 | DOI | Zbl

[2] Grigorenko Ya. M., Kryukov N. N., Krizhanovskaya T. V., “Design of corrugated circular plates under a local load as a flexible system of shells of revolution”, Int. Appl. Mech., 34:4 (1998), 327–333 | MR | Zbl

[3] Nedorezov P. F., Romakina O. M., Safonov R. A., “Modified spline collocation method in the problems of thin rectangular viscoelastic plate vibrations”, Izv. Saratov. Univ. Mat. Mekh. Inform., 10:3 (2010), 59–64

[4] Safonov R. A., “Numerical solution of some problems of static bending of rectangular plates under the action of a local load”, Mathematics. Mechanics, v. 11, Sarat. Un-t, Saratov, 2009, 133–136

[5] Safonov R. A., “Static bending of orthotropic rectangular plate under local influences”, Deformable media mechanics, v. 16, Sarat. Un-t, Saratov, 2010, 93–96

[6] Safonov R. A., “Steady-state oscillations of viscoelastic plate in the local influences”, Problems of the strength of structural elements under the action of loads and working media, SGTU, Saratov, 2010, 109–113

[7] Safonov R. A., Proceedings of the Seventh All-Russian Scientific Conference with international participation. Part 1, Matem. Mod. Kraev. Zadachi, SamGTU, Samara, 2009

[8] Safonov R. A., “Numerical research of steady oscillations of a rectangular orthotropic plate under local influences”, Actual Problems of Applied Mathematics, Computer Science, and Mechanics, VGU, Voronezh, 2010, 325–328

[9] Timoshenko S. P., Woinowskiy–Krieger S., Theory of plates and shells, Nauka, Moscow, 1966, 636 pp. | Zbl

[10] Grigorenko Ya. M., Berenov M. N., “Solution of two-dimensional problems on bending of rectangular plates on the basis of spline approximation”, Dokl. Akad. Nauk Ukr. SSR, Ser. A, 1987, no. 8, 22–25 | MR | Zbl

[11] Nedorezov P. F., Shevcova J. V., Romakina O. M., “A modified spline-collocation method in problems of bending of isotropic rectangular plates”, Proceedings of the Second All-Russian Scientific Conference (1–3 June 2005). Part 1, Matem. Mod. Kraev. Zadachi, SamGTU, Samara, 2005, 203–209