Tabarrokian and Non-Tabarrokian systems in complementary formulations

Authors
Citation
Fpj. Rimrott, Tabarrokian and Non-Tabarrokian systems in complementary formulations, T CAN SOC M, 24(1B), 2000, pp. 89-94
Citations number
3
Categorie Soggetti
Mechanical Engineering
Journal title
TRANSACTIONS OF THE CANADIAN SOCIETY FOR MECHANICAL ENGINEERING
ISSN journal
03158977 → ACNP
Volume
24
Issue
1B
Year of publication
2000
Pages
89 - 94
Database
ISI
SICI code
0315-8977(2000)24:1B<89:TANSIC>2.0.ZU;2-B
Abstract
Complementary formulations and mixed formulations are of importance for the finite element method. The two complementary formulations are the conventi onal formulation based on generalized displacements and the alternative for mulation based on generalized impulses. It is shown that so-called Tabarrok ian systems are those for which a complementary Lagrangian L* can be formed to advantage and a complementary Lagrange equation can be used. It is then shown that this is not the case for Non-Tabarrokian systems, for which an example is presented.