Use of Nonconforming Modes in Finite Element Analysis of Plates and Shells.
ILLINOIS UNIV URBANA DEPT OF CIVIL ENGINEERING
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The development of another finite element is presented in the study. By adding nonconforming displacement modes selectively to the low order isoparametric elements, highly improved new shell elements are established. Addition of various combinations of nonconforming modes to the original elements has been investigated and the elements, both linear and quadratic, which have two nonconforming modes added to the inplane displacements, four to the out-of-plane displacement and no additional modes to rotations have been found to be most effective in terms of the number of nonconforming modes used versus the improvement obtained. These elements have been tested with deep beam, plate, and various shell problems. Cylindrical, elliptic paraboloid, spherical and conoidal shells were investigated in order to demonstrate the versatility of newly developed nonconforming elements. The results obtained from these investigations compare favorably with the results from well-established analyses. The improvement incorporated into the four-node element is impressive. Author
- Structural Engineering and Building Technology