Modified Algorithm for the Analysis of Thin Plates by the Finite Element Method in the Form of the Classical Mixed Method

A.V. Ignatyev, V.A. Ignatyev
2016 Procedia Engineering  
Accounting for the effect of the rigid body motion of a finite element is one of the most challenging problems in approximating displacements in the Finite Element Method (FEM). In this paper with the example of the rectangular plate element with 12 degrees of freedom it is demonstrated how to eliminate all components of nodal linear and angular displacements of the finite element relatively to its displacements as a rigid body. Based on this explicit analytical procedure, the system of
more » ... e system of governing equations of the FEM in the form of a classical mixed method is elaborated, in which all displacements related to the rigid body motion are eliminated.
doi:10.1016/j.proeng.2016.07.168 fatcat:p7nhiymxvfgdbdjo3vd3tmu7ne