The use of FFT algorithm for circumferential coordinate in axisymmetric analysis of solids by generalized finite difference method

Korkut F., Mengi Y.

Computers and Geotechnics, cilt.162, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 162
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/j.compgeo.2023.105683
  • Dergi Adı: Computers and Geotechnics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, Computer & Applied Sciences, Geobase, INSPEC, Metadex, DIALNET, Civil Engineering Abstracts
  • Anahtar Kelimeler: Axisymmetric, Complex Fourier series, Generalized finite difference, Meshless, Perfectly matched layer, Wave propagation
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

A formulation is presented for GFDM analysis of axisymmetric viscoelastic bodies under general loading conditions. The proposed formulation reduces the dimension of analysis by one by using complex Fourier series for circumferential coordinate ((θ) dependency) of field variables. For θ (Fourier) transform computations, the discrete Fourier transform formulas with FFT algorithm are employed. Radiational effects are accounted for through the use of perfectly matched layer (PML) with the equation being modified in accordance with the proposed formulation. For the assessment of the formulation, several sample problems are presented. The results indicate its capability in estimating the response even for that requiring sensitive analysis, such as, those in wave propagation analysis.