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TECHNICAL PAPERS

Sandwich Plates Actuated by a Kagome Planar Truss

[+] Author and Article Information
N. Wicks, J. W. Hutchinson

Division of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138

J. Appl. Mech 71(5), 652-662 (Nov 09, 2004) (11 pages) doi:10.1115/1.1778720 History: Received October 15, 2003; Revised January 14, 2004; Online November 09, 2004
Copyright © 2004 by ASME
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References

Figures

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The energy of actuation of a beam. The rest of the structure resists the imposed actuation strain εT, generating an elastic strain of εe and an internal force F=εeEA.
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Normalized actuation energy for the target displacement fields, as a function of (R/L)2
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(a) Maximum bending strain normalized by maximum actuation strain for the target displacement fields, as a function of R/L. (b) Maximum stretching strain normalized by maximum actuation strain for the target displacement fields, as a function of R/L.
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Periodic cell used for Kagome plate simulation
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Best-fit displacement field calculated using Moore-Penrose analysis for target field wd=A0ζ2ez
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Best-fit displacement field calculated using Moore-Penrose analysis for target field wd=A0ez sin(2πζ/Lζ)
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Best-fit displacement field calculated using Moore-Penrose analysis for target field wd=A0ez sin(2πζ/Lζ)×sin(2πη/Lη). The faceting of the solid sheet is an artifact of the plotting—the actual shape of the solid sheet is smooth.
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The members which are allowed to actuate in the analysis of actuation of selected Kagome members. Only the Kagome plane is shown. The dashed members are the members selected to actuate.
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The best-fit displacement field when limited members are allowed to actuate for the target displacement field wd=A0ζ2ez
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The best-fit displacement field when limited members are allowed to actuate for the target displacement field wd=A0ez sin(2πζ/Lζ)
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Normalized actuation energy for the target displacement fields, as a function of R/L
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Maximum bending strain normalized by maximum actuation strain for the target displacement fields, as a function of R/L
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Maximum stretching strain normalized by maximum actuation strain for the target displacement fields, as a function of R/L
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A periodic structure. A, B, C, D are equivalent periodic cells. The dots correspond to nodes along the edges of the periodic cells. eζ and eη are unit vectors sligned with the edges of the periodic cells.
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(a) The Kagome planar truss. (b) The unit cell used for the Kagome planar truss analysis. The dashed lines are the outline of the cell. The solid lines are truss members of the unit cell.
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(a) The Kagome plane and tetrahedral core of the Kagome plate structure. The solid members are the Kagome face members, and the dashed members the tetrahedral core members. (b) The Kagome plate structure. (c) The unit cell used for the Kagome plate analysis.
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The periodic cell used for the planar Kagome truss simulations
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The target field described by ud=A0eζ sin(πζ/Lζ). The arrows show the displacement vectors of the nodes.
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The target displacement field described by ud=A0(eζ+eη)sin(πζ/Lζ)sin(πη/Lη). The arrows show the displacement vectors of the nodes.
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The target displacement field described by ud=A0ζeζ

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