Fourier Cosine Differential Quadrature Method for Beam and Plate Problems
In this paper, we combined the Fourier cosine series and differential quadrature method (DQM) in barycentric form to develop a new method (FCDQM), which is applied to the 1D fourth order beam problem and the 2D thin isotropic plate problems. Furthermore, we solved the complex boundary conditions on irregular domains with DQM directly. The numerical results illustrate the stability, validity and good accuracy of the method in treating this class of engineering problems.
W. T. Shao and X. H. Wu, "Fourier Cosine Differential Quadrature Method for Beam and Plate Problems", Applied Mechanics and Materials, Vols. 138-139, pp. 699-704, 2012