The Reliability of the Arc-Length Method in the Analysis of Mode-Jumping Problems

Marco Cerini, Brian G. Falzon

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publication44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
PublisherAerospace Research Council
Number of pages10
ISBN (Electronic)9781624101007
DOIs
Publication statusPublished - 08 Apr 2003
EventAIAA/ASME/AHS/ASC 44th Structures, Structural Dynamics and Materials Conference - Norfolk, United States
Duration: 07 Apr 200310 Apr 2003

Conference

ConferenceAIAA/ASME/AHS/ASC 44th Structures, Structural Dynamics and Materials Conference
CountryUnited States
CityNorfolk
Period07/04/200310/04/2003

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    Cerini, M., & Falzon, B. G. (2003). The Reliability of the Arc-Length Method in the Analysis of Mode-Jumping Problems. In 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference Aerospace Research Council. https://doi.org/10.2514/6.2003-1621