Discrete singular convolution method for modelling of waveguide interaction of beam-type structures with impedance boundaries

Kara M., SEÇGİN A.

ENGINEERING STRUCTURES, cilt.247, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 247
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.engstruct.2021.113209
  • Dergi Adı: ENGINEERING STRUCTURES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, Geobase, ICONDA Bibliographic, INSPEC, Metadex, DIALNET, Civil Engineering Abstracts
  • Anahtar Kelimeler: Discrete Singular Convolution, Right angled beams, Waveguide interaction, Mechanical impedance boundary, Taylor series expansion, FREE-VIBRATION ANALYSIS, HIGH-FREQUENCY VIBRATION, RECTANGULAR-PLATES, POWER TRANSMISSION, COMPOSITE PLATES, ELEMENT-METHOD, THIN PLATES, FREE EDGES, PREDICTION
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

Discrete Singular Convolution (DSC) is an accurate local/global mathematical method for the vibration and acoustic analysis of individual continuous structures. In recent years, successful applications of the DSC method for handling connected structures have been performed. However, the studies are very limited and applicable only for common basic boundary conditions such as the pinned, clamped or free boundaries. This study extends the applicability of the DSC method to waveguide interactions of connected structures with the mechanical impedance boundaries. For this purpose, vibration analyses of structures composed of beams forming I-, L- and Ttype structures are performed via the DSC. Taylor series expansion is utilized to implement the mechanical impedance boundary conditions. The structural models support the longitudinal and bending waveguides and related interactions. Natural frequencies and vibration displacement responses to a point force excitation are predicted via the proposed methodology. The results are validated by finite element and/or analytical solutions. It has been shown that the DSC method can be reliably applied for structures exhibiting waveguide interactions with impedance boundaries.