Fourier-type integral transforms in modeling of transversal oscillation

Year 2015, Volume: 3 Issue: 1, 18 - 22, 17.01.2015

Oleg Yaremko Nataliia Yaremko Nikita Tyapin

https://doi.org/10.18100/ijamec.36094

Cited By: 1

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

eigenfunction, fourth-order differential equation, fundamental solution, Green's function.

Original Research Paper

Abstract

References

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