Open AccessRESIDUAL DISPLACEMENTS‘ PROGRESIVE ANALYSIS OF THE MULTISUPPORTED BEAM / DAUGIAATRAMĖS SIJOS LIEKAMŲJŲ POSLINKIŲ PROGRESINĖ ANALIZĖ
Author(s) -
Liudas Liepa,
Agnė Gervytė,
Ela Jarmolajeva,
Juozas Atkočiūnas
Publication year - 2014
Publication title -
mokslas - lietuvos ateitis
Language(s) - English
Resource type - Journals
eISSN - 2029-2341
pISSN - 2029-2252
DOI - 10.3846/mla.2014.686
Subject(s) - shakedown , residual , beam (structure) , mathematics , monotonic function , structural engineering , finite element method , mathematical analysis , engineering , algorithm
This paper focuses on a shakedown behaviour of the ideally elasto-plastic beams system under variable repeated load. The mathematical models of the analysis problems are created using numerical methods, extremum energy principles and mathematic programming. It is shown that during the shakedown process the residual displacements vary non-monotonically. By solving analysis problem, where the load locus is being progressively expanded, it is possible to determine the upper and lower bounds of residual displacements. Suggested methods are ilustrated by solving multisupported beam example problem. The results are obtained considering principle of the small displacements