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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2010 Volume 10, Issue 1, Pages 71–77 (Mi isu12)

This article is cited in 2 papers

Mechanics

On the steady transverse vibrations of a rectangular orthotropic plate

O. M. Romakina

Saratov State University, Chair of Computer's Algebra and Theory of Numbers

Abstract: The problem of the steady transverse vibrations of a rectangular orthotropic plate under the classical Kirchhoff theory assumptions is considered. Two-dimensional problemis reduced to one-dimensional via themodified spline-collocation method.One-dimensional problem is numerically solved with the stable discrete orthogonalization method. Numerical results for three resonance frequencies and plots for deformed middle-surface are presented for three types of boundary conditions on the edges.

Key words: modied method of spline collocation, ortotropic plate.

UDC: 539.3

DOI: 10.18500/1816-9791-2010-10-1-71-77



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