Linear programming methods of displacement analysis in elastic-plastic frames

✍ Scribed by R. P. Baronas; A. A. Chyras

• Publisher: John Wiley and Sons
• Year: 1971
• Tongue: English
• Weight: 440 KB
• Volume: 3
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.1620030310

✦ Synopsis

Abstract

The analysis is aimed at determination of displacements in elastic‐perfectly plastic frames, in the case of monotonically increasing loads. Spread of partial plasticity from hinges and change of geometry on the conditions of equilibrium are not included. Extremum energy principles and linear programming methods are employed to solve the problem. Both the kinematic and the static formulations of the problem are presented. The mathematical models of the formulations constitute a dual pair of linear programming problems.