2001 Volume 44 Issue 4 Pages 610-615
A modified wavelet Galerkin method for the analysis of Mindlin plates is proposed. The analysis of Mindlin plates often suffers from ‘shear locking’, which is the phenomena that the overstiff response is estimated under the Kirchhoff constraint condition in the very thin plate. In order to overcome shear locking, in the proposed formulation of wavelet Galerkin method, the B-spline scaling function is adopted for the approximation of transverse displacement field, while the direct derivative of B-spline function is utilized for rotational field, which is consistent with the definition of the transverse shear strain. Various kinds of plate analyses are conducted under several conditions. As results, the completely locking free responses are always obtained if the direct derivative scaling function is used for the approximation of rotational field and the validity of the proposed wavelet Galerkin method is clarified.