A New Compatible Parallelogram Thin Plate Element

Abstract

By theoretical analysis and iterative trialing, based on routine isoparametric coordinate transformation method, through a compatible revision to the incompatible element boundary displacement which doesn’t affect the completeness of the incompatible element, a new compatible parallelogram thin plate element is developed in the paper. At the same time, compatibility and completeness of the element are proved theoretically. The common finite element analysis can be conducted only by modifying the interpolating function of element displacement rather than the thin plate finite element program, and thus the compatible problem of thin plate element can be solved preferably. Numerical analysis results show that the compatible element is higher accuracy and better convergence than the incompatible element; as well as it is a thin plate element of fine performance.