Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1706844 | Applied Mathematical Modelling | 2009 | 15 Pages |
Abstract
A four-node discrete singular convolution (DSC) method is developed for free vibration analysis of arbitrary straight-sided quadrilateral plates. The straight-sided quadrilateral domain is mapped into a square domain in the computational space using a four-node element. By using the geometric transformation, the governing equations and boundary conditions of the plate are transformed from the physical domain into a square computational domain. Numerical examples illustrating the accuracy and convergence of the DSC method for skew, trapezoidal, rhombic and arbitrary quadrilateral plates are presented. The results obtained by DSC method were compared with those obtained by the other numerical methods.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Ãmer Civalek,