On the effect of constraint parameters on the generalized displacement control method |
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| Affiliation: | 1. Department of Civil Engineering, University of Illinois, Urbana, IL, USA;2. Center for Technology, Federal University of Alagoas, Maceió, Alagoas, Brazil;1. School of Civil Engineering, Wuhan University, 8 South Road of East Lake, Wuchang, 430072 Wuhan, PR China;2. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, PR China |
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| Abstract: | In this work, we investigate the generalized displacement control method (GDCM) and provide a modification (MGDCM) that results in an equivalent constraint equation as that of the linearized cylindrical arc-length control method (LCALCM). Through numerical examples, we illustrate that the MGDCM is more robust than the standard GDCM in capturing equilibrium paths in regions of high curvature. Moreover, we also provide a geometric and physical interpretation of the method, which sheds light on the general class of path following methods in structural mechanics. |
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| Keywords: | Nonlinear solution schemes Generalized displacement control method Arc-length control methods Planar truss Space truss |
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