Nonlinear generalized load-generalized deflection curve with Riks-like path following Modification of nonlinear continuation strategy for the determination of equilibrium states beyond the limit load First and subsequent bifurcations and postbuckling paths from the fundamental nonlinear equilibrium path Large deformation of a deep arch with a downward concentrated load P Load-deflection curves for the deep arch shown in the previous image
Nonlinear generalized load-generalized deflection curve with Riks-like path following Modification of nonlinear continuation strategy for the determination of equilibrium states beyond the limit load First and subsequent bifurcations and postbuckling paths from the fundamental nonlinear equilibrium path Large deformation of a deep arch with a downward concentrated load P Load-deflection curves for the deep arch shown in the previous image
Branching (bifurcation buckling at g) from nonlinear equilibrium curve and continuation into an extremely nonlinear behavior Very large deflection of a deep arch WITHOUT enforcement of a contact constraint at the left support Very large deflection of a deep arch WITH enforcement of a contact constraint at the left support Deformed configurations at different load levels for end shear force (left) and end moment (right) Large dynamic deformations of a beam with rectangular cross section
Branching (bifurcation buckling at g) from nonlinear equilibrium curve and continuation into an extremely nonlinear behavior Very large deflection of a deep arch WITHOUT enforcement of a contact constraint at the left support Very large deflection of a deep arch WITH enforcement of a contact constraint at the left support Deformed configurations at different load levels for end shear force (left) and end moment (right) Large dynamic deformations of a beam with rectangular cross section
Successive bifurcation points on a nonlinear equilibrium path in generalized load-generalized displacement space Fig. 4 Typical arch configuration, with dimensions and concentrated load defined Fig. 5 Typical in-plane behavior of a simply supported arch (from the same report as the previous slide) Fig. 6 Special cross sections of members used in the analysis  (from the same report as the previous 2 slides) 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)
Successive bifurcation points on a nonlinear equilibrium path in generalized load-generalized displacement space Fig. 4 Typical arch configuration, with dimensions and concentrated load defined Fig. 5 Typical in-plane behavior of a simply supported arch (from the same report as the previous slide) Fig. 6 Special cross sections of members used in the analysis (from the same report as the previous 2 slides) 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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Monday, December 28, 2020