Vibration Analysis of Circular Mindlin Plates Using the Differential Quadrature Method

Free vibration and bending analysis of circular Mindlin plates using singular convolution method

“…Figure 9 also shows a comparison study of the present DSC results with the finite element solutions obtained using the IDEAS software package. The first four axisymmetric frequencies of clamped circular Mindlin plates are presented for h/a = 0.05 in this figure with the results given by Liew et al [45] using the DQ method. Good agreement is achieved among the present results, the results given by Liew et al [45] and the results produced by IDEAS using the Mindlin shell element.…”

“…The first four axisymmetric frequencies of clamped circular Mindlin plates are presented for h/a = 0.05 in this figure with the results given by Liew et al [45] using the DQ method. Good agreement is achieved among the present results, the results given by Liew et al [45] and the results produced by IDEAS using the Mindlin shell element. The results given by IDEAS include both symmetric and axisymmetric modes.…”

Non-linear analysis of FGM composites by finite block method in cylindrical coordinates

“…It has been shown that the DQEM and the DQFDM also have the same advantages as the finite element method (FEM) of general geometry and systematic boundary treatment. A series of investigations on the DQM for rectangular plate bending and vibrating were carried out by Liew et al [35][36][37][38][39]. It was discovered that the DQM produced better convergent solutions than the FEM, when a similar number of discrete points/nodes are used.…”

Free vibration analysis of axisymmetric laminated composite circular and annular plates using Chebyshev collocation

“…There have been a number of investigations of the free vibration of homogeneous isotropic circular and annular plates such as Han and Liew (1999), Haterbouch and Benamar (2005), Liew et al (1997), Liew and Yang (1999), Liew and Yang (2000), Selmane and Lakis (1999) and Zhou et al (2003). There are works employing solutions using differential quadrature and generalized differential quadrature methods for the study of this class of problems and so also a few finite element solutions for the analysis of laminated plates and shells such as Han and Liew (1997), Lin and Tseng (1998), Ding and Xu (2000), Liew and Liu (2000), Wu et al (2002), Tornabene et al (2009) and Hosseini-Hashemi et al (2010).…”