A discrete singular convolution geometric transformation for the free vibration analysis of right-angled triangular plates
Mechanics of Advanced Materials and Structures, vol.33, no.1, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 33 Issue: 1
- Publication Date: 2026
- Doi Number: 10.1080/15376494.2026.2639643
- Journal Name: Mechanics of Advanced Materials and Structures
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, DIALNET
- Keywords: Discrete singular convolution, free vibration, geometric mapping, Kirchoff plate theory, triangular plate
- Süleyman Demirel University Affiliated: Yes
Abstract
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.