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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.6
O.M. Lytvyn1, O.O. Lytvyn2, I.S. Tomanova3

SOLVING THE BIHARMONIC PROBLEM OF A CLOSED CLAMPED PLATE BY THE RITZ
METHOD USING EXPLICIT FORMULAS FOR SPLINE OF THE FIFTH DEGREE

Abstract. An algorithm is represented to solve biharmonic problems for a closed clamped plate by the Ritz method using explicit formulas for splines of the fifth degree on a triangular grid of nodes. A computational experiment is performed to find the solution of the problem on a square domain for various partition schemes.

Keywords: splines of the fifth degree, biharmonic problem, Ritz system, rectangular plate, closed clamped plate.



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1 Ukrainian Engineering Pedagogics Academy, Kharkiv, Ukraine

academ_mail@ukr.net

2 Ukrainian Engineering Pedagogics Academy, Kharkiv, Ukraine

Olegolitvin55@gmail.com

3 Ukrainian Engineering Pedagogics Academy, Kharkiv, Ukraine

tomanova.iryna@gmail.com

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