1. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Curvature Expressions for the Large Displacement Analysis of Planar Beam Motions
J. Comput. Nonlinear Dynam. 2017;13(1): doi: /
Figure Legend:
Pure shear beam

2. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Curvature Expressions for the Large Displacement Analysis of Planar Beam Motions
J. Comput. Nonlinear Dynam. 2017;13(1): doi: /
Figure Legend:
Shear angle θ at a middle point (–□– M=1 N⋅m, –○– M=10 N⋅m)

3. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Curvature Expressions for the Large Displacement Analysis of Planar Beam Motions
J. Comput. Nonlinear Dynam. 2017;13(1): doi: /
Figure Legend:
Spatial derivative of shear angle θ at a middle point (–□– M=1 N⋅m, –○– M=10 N⋅m)

4. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Curvature Expressions for the Large Displacement Analysis of Planar Beam Motions
J. Comput. Nonlinear Dynam. 2017;13(1): doi: /
Figure Legend:
Free falling flexible pendulum

5. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Curvature Expressions for the Large Displacement Analysis of Planar Beam Motions
J. Comput. Nonlinear Dynam. 2017;13(1): doi: /
Figure Legend:
Vertical displacement at tip point using 6 ANCF finite elements (–□– method 1, –○– method 2, and –Δ– method 3)

6. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Curvature Expressions for the Large Displacement Analysis of Planar Beam Motions
J. Comput. Nonlinear Dynam. 2017;13(1): doi: /
Figure Legend:
Magnitude of the ry vector at tip point using method 2with 6 ANCF finite elements (–□– k=0, –○– k=103, –Δ– k=104)

7. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Curvature Expressions for the Large Displacement Analysis of Planar Beam Motions
J. Comput. Nonlinear Dynam. 2017;13(1): doi: /
Figure Legend:
Different curvature definitions at tip point using method 3 with 40 ANCF finite elements (–□– |rss|, –○– ∂θ/∂s)

8. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Curvature Expressions for the Large Displacement Analysis of Planar Beam Motions
J. Comput. Nonlinear Dynam. 2017;13(1): doi: /
Figure Legend:
Magnitude of the rss vector at the middle point using 40 ANCF finite elements (–□– method 1, –○– method 2, and –Δ– method 3)

9. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Curvature Expressions for the Large Displacement Analysis of Planar Beam Motions
J. Comput. Nonlinear Dynam. 2017;13(1): doi: /
Figure Legend:
Shear angle at middle point using 40 ANCF elements (–□– method 1, –○– method 2, and –Δ– method 3)

10. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Curvature Expressions for the Large Displacement Analysis of Planar Beam Motions
J. Comput. Nonlinear Dynam. 2017;13(1): doi: /
Figure Legend:
Energy balance obtained using method 2 with 6 ANCF finite elements (–□– kinetic energy, –○– elastic energy, –Δ– potential energy, and — total energy)

11. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Curvature Expressions for the Large Displacement Analysis of Planar Beam Motions
J. Comput. Nonlinear Dynam. 2017;13(1): doi: /
Figure Legend:
Energy balance obtained using method 3 with 6 ANCF finite elements (–□– kinetic energy, –○– elastic energy, –Δ– potential energy, and — total energy)

12. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Curvature Expressions for the Large Displacement Analysis of Planar Beam Motions
J. Comput. Nonlinear Dynam. 2017;13(1): doi: /
Figure Legend:
Derivative of θ with respect to the arc length at tip point using 40 bilinear CRBF elements (–□– method 1 and –Δ– method 3)

13. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Curvature Expressions for the Large Displacement Analysis of Planar Beam Motions
J. Comput. Nonlinear Dynam. 2017;13(1): doi: /
Figure Legend:
Shear angle at tip point using 24 bilinear CRBF elements (–□– method 1 and –Δ– method 3)