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On sensitivity investigations of thin‐walled shell structures using transient finite element analysis and finite perturbations
Author(s) -
Ewert E.,
Schweizerhof K.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310360
Subject(s) - finite element method , sensitivity (control systems) , transient (computer programming) , bifurcation , stability (learning theory) , shell (structure) , mechanics , mathematics , mathematical analysis , control theory (sociology) , physics , structural engineering , computer science , engineering , mechanical engineering , nonlinear system , control (management) , quantum mechanics , electronic engineering , machine learning , artificial intelligence , operating system
In standard stability investigations of structures applying the finite element method usually the bifurcation and snapthrough points are detected. For practical design purposes not only the equilibrium state itself is significant but also the safety of the stable equilibrium state. The sensitivity, which quantifies the safety, can be investigated by introducing finite perturbations at a certain load level and considering the perturbed motion. In this contribution the application of Liapunov Characteristic Exponents (LCE) for the judgement of the perturbed motion is investigated.