Discrete Singular Convolution Method for Acoustic Transmission Lines

Kara M., Secgin A., Baygun T.

ACOUSTICS AUSTRALIA, cilt.48, sa.2, ss.271-285, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s40857-020-00185-3
  • Dergi Adı: ACOUSTICS AUSTRALIA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Compendex, INSPEC
  • Sayfa Sayıları: ss.271-285
  • Anahtar Kelimeler: Discrete singular convolution, Taylor series expansion, Muffler, Acoustic transmission lines, Power transmission coefficient, Acoustic modes, FREE-VIBRATION ANALYSIS, NONLINEAR ELASTIC FOUNDATIONS, LAMINATED COMPOSITE PLATES, BOUNDARY-ELEMENT METHOD, RECTANGULAR-PLATES, DSC ANALYSIS, FREE EDGES, BEAMS, PREDICTION, ALGORITHM
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

Discrete singular convolution (DSC) algorithm is an accurate dynamic analysis method for single structures. However, vibration analysis of connected structures via the DSC method is limited to step beams and plates. This paper extends the applicability of the DSC method in handling acoustic transmission lines composed of several duct elements with different diameter ratios. Connections of elements are handled by setting up continuity equations at geometric discontinuities. Conformity of DSC equations at these connections is carried out using Taylor series expansion. In this study, natural frequencies, mode shapes and power transmission coefficients of acoustic transmission lines are performed to test the proposed DSC implementation. Power transmission coefficients are obtained through the two-load method using the data provided by the DSC approach. The results are compared with finite element method and analytical solutions (if applicable), and the analytical transfer matrix method is also used for validating the power transmission coefficients. This paper shows that the DSC method is accurate and reliable, and so applicable for acoustic transmission line analysis.