Computation of the Green's function for the transverse vibration of a composite circular membrane

Yakhno V. G., Ozdek D.

JOURNAL OF ENGINEERING MATHEMATICS, cilt.87, sa.1, ss.187-205, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 87 Sayı: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s10665-013-9673-2
  • Dergi Adı: JOURNAL OF ENGINEERING MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.187-205
  • Anahtar Kelimeler: Analytical method, Composite circular membrane, Green's functions, Simulation, Transverse vibration, BOUNDARY-ELEMENT ANALYSIS, TIME-DOMAIN BEM, FUNDAMENTAL-SOLUTIONS, AXISYMMETRICAL VIBRATIONS, ANNULAR MEMBRANES, ELASTODYNAMICS, FORMULATION, SCATTERING
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

A new analytical method is suggested for the approximate computation of the time-dependent Green's function for the equations of the transverse vibration of a composite circular membrane with piecewise constant varying density and tension. The method is based on the derivation of eigenvalues and eigenfunctions for an ordinary differential equation with piecewise constant coefficients and an approximate computation of the Green's function in the form of the Fourier series with a finite number of terms relative to the orthogonal set of the derived eigenfunctions. A computational experiment confirms the robustness of the method.