Free vibration analysis of reissner-mindlin plates by a cell-based smoothed discrete shear gap method (CS-DSG3) using triangular elements

Abstract

The cell-based strain smoothing technique is combined with  discrete shear gap method  (DSG3) using three-node triangular elements to give a so-called the cell-based smoothed discrete shear gap method  (CS-DSG3)  for  free  vibration  analysis  of  Reissner-Mindlin  plates.  In  the  process  of formulating the CS-DSG3, each triangular element is divided into three sub-triangles, and in each sub-triangle,  the  stabilized DSG3 is used to compute the strains and to  avoid the transverse shear locking. Then  the strain  smoothing  technique  on whole the triangular element is used to smooth the strains on these three sub-triangles. The numerical examples demonstrated that CS-DSG3 is free of shear locking and achieves the high accuracy compared to others existing elements.

Keywords:  Reissner-Mindlin  plate,  shear  locking,  cell-based  smoothed  discrete  shear  gap technique (CS-DSG3), discrete shear gap method (DSG), strain smoothing technique.