Premium
Tracing postbuckling paths of structures containing multi‐loops
Author(s) -
Kuo ShyhRong,
Yang YeongBin
Publication year - 1995
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620382309
Subject(s) - tracing , truss , constraint (computer aided design) , arc length , computer science , buckling , algorithm , iterative method , arc (geometry) , mathematical optimization , geometry , mathematics , structural engineering , engineering , operating system
Most incremental‐iterative methods for tracing the postbuckling paths of structures have failed to achieve convergent solutions when the paths make sharp turns in regions where nearby equilibrium paths exist. This is largely due to the fact that iterations are not performed along a correct direction in these regions. To overcome this issue, two parameters for detecting the change in direction of loading and for guiding the direction of iteration are proposed. Also, a unit conversion factor is introduced into the constraint (arc length) equation to make it physically consistent. With these modifications, the present method is capable of tracing the postbuckling paths of structures with multi‐loops. A two‐member truss well known for its looping characteristics in the post‐buckling response has been solved as an illustration.