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Nonlinear generalized load-generalized deflection curve with Riks-like path following |
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Modification of nonlinear continuation strategy for the determination of equilibrium states beyond the limit load |
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First and subsequent bifurcations and postbuckling paths from the fundamental nonlinear equilibrium path |
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Large deformation of a deep arch with a downward concentrated load P |
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Load-deflection curves for the deep arch shown in the previous image |
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Branching (bifurcation buckling at g) from nonlinear equilibrium curve and continuation into an extremely nonlinear behavior |
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Very large deflection of a deep arch WITHOUT enforcement of a contact constraint at the left support |
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Very large deflection of a deep arch WITH enforcement of a contact constraint at the left support |
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Deformed configurations at different load levels for end shear force (left) and end moment (right) |
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Large dynamic deformations of a beam with rectangular cross section |
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Successive bifurcation points on a nonlinear equilibrium path in generalized load-generalized displacement space |
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Fig. 4 Typical arch configuration, with dimensions and concentrated load defined |
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Fig. 5 Typical in-plane behavior of a simply supported arch (from the same report as the previous slide) |
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Fig. 6 Special cross sections of members used in the analysis (from the same report as the previous 2 slides) |
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Fig. 7 Load versus vertical deflection at crown: in-plane buckling of simply supported arches (zero extension of the reference surface) (from the same report as the previous 3 slides) |
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