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Date of download: 10/12/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 10/12/2017 Copyright © ASME. All rights reserved. From: An Analytical Investigation of the Trapeze Effect Acting on a Thin Flexible Ribbon J. Appl. Mech. 2014;81(12): doi: / Figure Legend: Undeformed and deformed shape of a thin ribbon in torsion

2 Date of download: 10/12/2017 Copyright © ASME. All rights reserved. From: An Analytical Investigation of the Trapeze Effect Acting on a Thin Flexible Ribbon J. Appl. Mech. 2014;81(12): doi: / Figure Legend: Kinematic foreshortening induced in a twisted trapeze, for various chord over length ratios

3 Date of download: 10/12/2017 Copyright © ASME. All rights reserved. From: An Analytical Investigation of the Trapeze Effect Acting on a Thin Flexible Ribbon J. Appl. Mech. 2014;81(12): doi: / Figure Legend: Undeformed (dashed lines) and deformed (solid lines) shape of a trapeze in torsion

4 Date of download: 10/12/2017 Copyright © ASME. All rights reserved. From: An Analytical Investigation of the Trapeze Effect Acting on a Thin Flexible Ribbon J. Appl. Mech. 2014;81(12): doi: / Figure Legend: Restoring torque induced by longitudinal stresses in the fibers

5 Date of download: 10/12/2017 Copyright © ASME. All rights reserved. From: An Analytical Investigation of the Trapeze Effect Acting on a Thin Flexible Ribbon J. Appl. Mech. 2014;81(12): doi: / Figure Legend: Spanwise locus of centroid of the axial stress field

6 Date of download: 10/12/2017 Copyright © ASME. All rights reserved. From: An Analytical Investigation of the Trapeze Effect Acting on a Thin Flexible Ribbon J. Appl. Mech. 2014;81(12): doi: / Figure Legend: Free-body-diagram of the forces and moments applied to a rotating ribbon with tip mass

7 Date of download: 10/12/2017 Copyright © ASME. All rights reserved. From: An Analytical Investigation of the Trapeze Effect Acting on a Thin Flexible Ribbon J. Appl. Mech. 2014;81(12): doi: / Figure Legend: Natural frequencies of the flexible ribbon rotating at 1500 rpm

8 Date of download: 10/12/2017 Copyright © ASME. All rights reserved. From: An Analytical Investigation of the Trapeze Effect Acting on a Thin Flexible Ribbon J. Appl. Mech. 2014;81(12): doi: / Figure Legend: Natural mode shapes

9 Date of download: 10/12/2017 Copyright © ASME. All rights reserved. From: An Analytical Investigation of the Trapeze Effect Acting on a Thin Flexible Ribbon J. Appl. Mech. 2014;81(12): doi: / Figure Legend: Spanwise variation of axial elongation (EA at centroid of the axial stress field)

10 Date of download: 10/12/2017 Copyright © ASME. All rights reserved. From: An Analytical Investigation of the Trapeze Effect Acting on a Thin Flexible Ribbon J. Appl. Mech. 2014;81(12): doi: / Figure Legend: Spanwise variation of internal normal force N and internal bending moment M

11 Date of download: 10/12/2017 Copyright © ASME. All rights reserved. From: An Analytical Investigation of the Trapeze Effect Acting on a Thin Flexible Ribbon J. Appl. Mech. 2014;81(12): doi: / Figure Legend: Spanwise locus of the EA relative to the middle axis of the ribbon

12 Date of download: 10/12/2017 Copyright © ASME. All rights reserved. From: An Analytical Investigation of the Trapeze Effect Acting on a Thin Flexible Ribbon J. Appl. Mech. 2014;81(12): doi: / Figure Legend: Variation of the tip twist with root pitch angles

13 Date of download: 10/12/2017 Copyright © ASME. All rights reserved. From: An Analytical Investigation of the Trapeze Effect Acting on a Thin Flexible Ribbon J. Appl. Mech. 2014;81(12): doi: / Figure Legend: Variation of the tip axial deflection with root pitch angles

14 Date of download: 10/12/2017 Copyright © ASME. All rights reserved. From: An Analytical Investigation of the Trapeze Effect Acting on a Thin Flexible Ribbon J. Appl. Mech. 2014;81(12): doi: / Figure Legend: Spanwise variation of total pitch angles


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