A discrete singular convolution geometric transformation for the free vibration analysis of right-angled triangular plates
Mechanics of Advanced Materials and Structures, cilt.33, sa.1, 2026 (SCI-Expanded, Scopus)
- 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.