Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775705 | Applied Mathematics and Computation | 2017 | 15 Pages |
Abstract
This work deals with a class of nonlinear complementarity eigenvalue problems that, from a mathematical point of view, can be written as an equilibrium model
[A(λ)B(λ)C(λ)D(λ)][uw]=[v0],uâ¥0,vâ¥0,uTv=0,where the vectors u and v are subject to complementarity constraints. The block structured matrix appearing in this partially constrained equilibrium model depends continuously on a real scalar λ â Î. Such a scalar plays the role of a non-dimensional load parameter, but it may have also other physical meanings. The symbol Î stands for a given bounded interval, possibly non-closed. The numerical problem at hand is to find all the values of λ (and, in particular, the smallest one) for which the above equilibrium model admits a nontrivial solution. By using the so-called Facial Reduction Technique, we solve efficiently such a numerical problem in various randomly generated test examples and in two mechanical examples of unilateral buckling of columns.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
A. Pinto da Costa, A. Seeger, F.M.F. Simões,