Fourier-type integral transforms in modeling of transversal oscillation

Oleg YAREMKO; Nataliia YAREMKO; Nikita TYAPİN

doi:10.18100/ijamec.36094

Research ArticlesverifiedPeer-ReviewedOpen Access

Pages: 18-22

Fourier-type integral transforms in modeling of transversal oscillation

Oleg YAREMKO •

Nataliia YAREMKO •

Nikita TYAPİN

Publication DateJanuary 17, 2015

Volume / IssueVol. 3, No. 1 (pp. 18-22)

DOI Identifier10.18100/ijamec.36094

subject

Abstract

The model of transversal oscillation for an elastic piecewise-homogeneous rod is constructed. In order to find a solution of this model a Fourier-type integral transforms method for the fourth-order differential equations is developed. The decomposition theorem is proved by Cauchy contour integration method . The conditions of existence for fundamental solutions of the initial - boundary value problem are established and explicit expressions of these fundamental solutions are found.

Keywords:eigenfunctionfourth-order differential equationfundamental solutionGreen's function.

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Fourier-type integral transforms in modeling of transversal oscillation

Abstract

References (19)

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