A discrete singular convolution geometric transformation for the free vibration analysis of right-angled triangular plates


CİVALEK Ö., AVCAR M.

Mechanics of Advanced Materials and Structures, cilt.33, sa.1, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1080/15376494.2026.2639643
  • Dergi Adı: Mechanics of Advanced Materials and Structures
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, DIALNET
  • Anahtar Kelimeler: Discrete singular convolution, free vibration, geometric mapping, Kirchoff plate theory, triangular plate
  • Akdeniz Üniversitesi Adresli: Evet

Özet

Triangular plates are essential in engineering because of their ability to construct complex shapes and play a vital role in many structural designs. In this research, a four-node discrete singular convolution (DSC) method is developed for free vibration analysis of right-angled triangular plates. The straight-sided quadrilateral domain is mapped into a triangular domain in the computational space using a four-node element. Kirchoff plate theory is used for the derivation of the governing equations. By using the geometric transformation, the governing equations and boundary conditions of the right-angled triangular plate are transformed from the physical domain into a triangular computational domain. Numerical examples illustrating the accuracy and convergence of the DSC for right-angled triangular plates are presented. Moreover, several examples are presented to examine the free vibration of the right-angled triangular plates considering different boundary conditions, number of the modes, aspect ratio and grid numbers.