2nd International Conference on Numerical Computations - Theory and Algorithms (NUMTA), Pizzo Calabria, Italy, 19 - 25 June 2016, vol.1776
The present paper describes the approximate computation of the time-dependent Green's function for the equation of the transverse vibration of a two-step rod with a piecewise constant varying cross-section. This computation is based on generalization of the Fourier series expansion method. The time-dependent Green's function is derived in the form of the Fourier series with a finite number of temis. The basic functions of this series are eigenfunctions of an ordinary differential equation of four order with boundary and interface conditions.