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| Two methods for transition between coarse and fine finite elements |
| Received:December 22, 2005 Revised:July 03, 2006 |
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| DOI：10.7511/jslx20076171 |
| KeyWord:transition between course and fine meshes,displacement matching on interface,Springed Joint Method,Master DOF Method |
| ZHONG Hong LIN Gao HU Zhi-qiang |
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| Abstract: |
| The transition between coarse and fine meshes in a finite element model is essential for application of Finite Element Method(FEM) to large-scale engineering problems.Two techniques are presented,viz.the Springed Joint Method and the Master DOF(Degree of Freedom) Method.The former is based on Qiang Tianchi's interface coupled method which was founded according to the least potential energy method.As in the Joint Element Method,with fictitious nodes and sub elements technique employed,the integral in Qiang Tianchi's version is simplified and transition between two sets of coordinate systems which requires high precision is avoided.The latter utilizes displacement constraint and needs only simple matrix operation in application.Both methods guarantee the matching of displacement of stiffness between meshes of different density and the stiffness matrix is band-shaped and symmetrical.Numerical tests show both methods are of good precision and feasibility and can be employed in analysis of large-scale engineering problems. |