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.