Approximate Computation of the Green's Function of Transverse Vibration of the Composite Rods

FAYDAOĞLU Ş., Yakhno V. G.

2nd International Conference on Numerical Computations - Theory and Algorithms (NUMTA), Pizzo Calabria, Italy, 19 - 25 June 2016, vol.1776 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1776
  • Doi Number: 10.1063/1.4965411
  • City: Pizzo Calabria
  • Country: Italy
  • Dokuz Eylül University Affiliated: Yes

Abstract

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.