Fourier-type integral transforms in modeling of transversal oscillation
DOI:
https://doi.org/10.18100/ijamec.36094Keywords:
eigenfunction, fourth-order differential equation, fundamental solution, Green's function.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.Downloads
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