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Formulation of the Finite Element Method for a Certain Class of Nonlinear Problems and Nonconservative Loading

W. Glabisz
Journal / Anthology

Archives of Civil Engineering (Polish Scientific Publishers)
Year: 1993
Volume: 39
Issue: 1
Page range: 29-49

In the paper those terms of the virtual work principle in the incremental formulation are written explicitly that result from the dependence of applied forces on the generated displacements, their rates and accelerations. Two algorithms written in the symbolic language of Mathematica package capable of generating the load correction matrices for a beam element under any nonconservative loading are presented. As an example, load correction matrices for a simple element under bending are shown resulting from the load-displacement relationship.

*Engineering > Finite Element Methods