Static and free vibration analyses of plates on elastic foundation using a cell-based smoothed three-node mindlin plate element (CS-Min3)

Abstract

A cell-based smoothed three-node Mindlin plate element (CS-MIN3) was recently proposed to improve the performance of the existing three-node Mindlin plate element (MIN3) for static and free vibration analyses of Mindlin plates. In this paper, the CSMIN3 is incorporated with spring systems for treating more complicated static and free vibration analyses of Mindlin plates on the elastic foundation. The plate-foundation system is modeled as a discretization of triangular plate elements supported by discrete springs at the nodal points representing the elastic foundation. The accuracy and reliability of the proposed method are verified by comparing with those of others available numerical results.

Keywords

• smoothed finite element methods (s-fem)
• reissner-mindlin plate
• cell-based smoothed three-node mindlin plate element (cs-min3)
• elastic foundation
• elastic supports