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, İtalya, 19 - 25 Haziran 2016, cilt.1776 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1776
  • Doi Numarası: 10.1063/1.4965411
  • Basıldığı Şehir: Pizzo Calabria
  • Basıldığı Ülke: İtalya
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.