Coarse Mesh Superconvergence in Isogeometric Frequency Analysis of Mindlin–Reissner Plates with Reduced Integration and Quadratic Splines

Abstract A frequency accuracy study is presented for the isogeometric free vibration analysis of Mindlin–Reissner plates using reduced integration and quadratic splines, which reveals an interesting coarse mesh superconvergence. Firstly, error estimates discretization with splines are rationally derived, where degeneration to Timoshenko beams discussed as well. Subsequently, in accordance these measures, shear locking issue corresponding full formulation elaborated respect deterioration. On other hand, locking-free characteristic uniform illustrated by its superior accuracy. Meanwhile, it found that a superconvergence sixth order arises meshes when employed deformable plates, comparison ultimate fourth progressively refined. Furthermore, size threshold provided The proposed theoretical results consistently proved numerical experiments.