Abstract
The Arc-Length Method is a solution procedure that enables a generic non-linear
problem to pass limit points. Some examples are provided of mode-jumping problems
solutions using a commercial nite element package, and other investigations are
carried out on a simple structure of which the numerical solution can be compared
with an analytical one. It is shown that Arc-Length Method is not reliable when
bifurcations are present in the primary equilibrium path; also the presence of very
sharp snap-backs or special boundary conditions may cause convergence diÆculty
at limit points. An improvement to the predictor used in the incremental procedure
is suggested, together with a reliable criteria for selecting either solution of the
quadratic arc-length constraint. The gap that is sometimes observed between the
experimantal load level of mode-jumping and its arc-length prediction is explained
through an example.
Original language | English |
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Title of host publication | 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference |
Publisher | Aerospace Research Council |
Number of pages | 10 |
ISBN (Electronic) | 9781624101007 |
DOIs | |
Publication status | Published - 08 Apr 2003 |
Event | AIAA/ASME/AHS/ASC 44th Structures, Structural Dynamics and Materials Conference - Norfolk, United States Duration: 07 Apr 2003 → 10 Apr 2003 |
Conference
Conference | AIAA/ASME/AHS/ASC 44th Structures, Structural Dynamics and Materials Conference |
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Country | United States |
City | Norfolk |
Period | 07/04/2003 → 10/04/2003 |