Abstract
In this work, a nonlinear path-following method is given for analysing the nonlinearstability problems of space truss structures. The proposed method is based on the perturbationtechnique of stability theory and on the nonlinear modification of the classical linear homotopymethod. This higher order predictor-corrector method can compute the information ofdirect methods and is capable of computing not only points but also segments of the equilibriumpath. The segment approximation is the base of investigation of the singular points.The segment approximation is based on the generalized Roll theorem. Some numericalexamples showing different types of behavior are analysed and discussed.
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Csébfalvi, A. A nonlinear path-following method for computingthe equilibrium curve of structures. Annals of Operations Research 81, 15–24 (1998). https://doi.org/10.1023/A:1018944804979
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DOI: https://doi.org/10.1023/A:1018944804979