A locking-free rectangular Mindlin plate element with a new multi-resolutionanalysis (MRA) is proposed and a new finite element method is hence presented.The MRA framework is formulated out of a mutually nesting displacement subspacesequence whose basis functions are constructed of scaling and shifting on theelement domain of basic node shape function. The basic node shape function isconstructed by extending the node shape function of a traditional Mindlin plateelement to other three quadrants around the coordinate zero point. As a result,a new rational MRA concept together with the resolution level (RL) isconstituted for the element. The traditional 4-node rectangular Mindlin plateelement and method is a mono-resolution one and also a special case of theproposed element and method. The meshing for the monoresolution plate elementmodel is based on the empiricism while the RL adjusting for the multiresolutionis laid on the rigorous mathematical basis. The analysis clarity of a platestructure is actually determined by the RL, not by the mesh. Thus, the accuracyof a plate structural analysis is replaced by the clarity, the irrational MRAby the rational and the mesh model by the RL that is the discretized model bythe integrated.
展开▼
