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MATHEMATICAL MODELING OF THE DEFORMATION OF THE BEAM WITH CLAMPED-CLAMPED ENDS

Journal: International Scientific Journal "Internauka" (Vol.1, No. 29)

Publication Date:

Authors : ; ;

Page : 123-124

Keywords : oscillations of a beam; the Euler equation; the initial-boundary conditions;

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Abstract

The paper deals with a problem with initial conditions for a beam equation with embedded ends. The problem was solved in two ways: as a sum of the Fourier series in the system of eigenfunctions of a one-dimensional spectral problem, and using finite-difference approximations, a numerical solution was obtained. The quantitative coincidence of the results of numerical and analytical calculations of beam deformation is obtained.

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Last modified: 2017-07-07 20:50:12