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Effectiveness of linear bifurcation analysis for predicting the nonlinear stability limits of structures
Author(s) -
Chang S.C.,
Chen J.J.
Publication year - 1986
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.1620230506
Subject(s) - nonlinear system , buckling , stability (learning theory) , limit (mathematics) , convergence (economics) , bifurcation , mathematics , critical load , limit load , rate of convergence , limit analysis , series (stratigraphy) , structural engineering , mathematical analysis , computer science , finite element method , engineering , physics , key (lock) , geology , upper and lower bounds , computer security , quantum mechanics , machine learning , economics , economic growth , paleontology
As an effort to predict effectively the actual collapse load of a structure, a series of numerical studies on the stability of shell structures are made. The difference in formulation between the two types of linear buckling loads, the classical and the fully linearized, is first demonstrated. Their correlations with respect to the actual stability limit of the structure are compared, and finally the two types of critical load approximations are obtained at various stages of a nonlinear analysis to study the pattern of convergence to the actual collapse load. It is found that the fully linearized buckling analysis, when combined with nonlinear analysis, can serve as a useful tool for prediction of the stability limit of a structure. While for most types of structures the approximation is within engineering accuracy, the rate of convergence of the extrapolated critical load also gives some insight to the accuracy of the approximation.