The Load Capacity of a Kagome Based High Authority Shape Morphing Structure

[+] Author and Article Information
S. L. dos Santos e Lucato, A. G. Evans

Materials Department,  University of California, Santa Barbara, CA 93106-5050

J. Appl. Mech 73(1), 128-133 (Feb 14, 2004) (6 pages) doi:10.1115/1.2042482 History: Revised February 14, 2004; Received July 23, 2004

A protocol for optimizing a high authority shape morphing plate is described. The design incorporates an active Kagome back-plane capable of changing the shape of a solid face by transmitting loads through a tetrahedral truss core. The optimization assesses the required geometric dimensions and actuator specifications in order to maximize the permissible shape changes and load capacity. The critical external loads for all failure mechanisms of the individual components are calculated and used as constraints in the optimization. Resistance of the structure to actuation is presented as an additional constraint. The ensuing relations are subsequently used to choose the best material for a given application. Numerical examples of the procedure are given for a defined structure.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

(Color) Schematic representation of the Kagome-structure. The face sheet is shown in blue, the core in green, and the Kagome back-plane is red. Actuators are placed in lieu of the Kagome members. The control points are used to define the target deformation.

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Figure 2

(Color) Photo of the actual demo structure. The aluminum solid face sheet is used. Actuators are placed along the middle section and extended by 10%.

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Figure 3

Maximum load capability for a given actuator capacity and extension. All structure failure mechanisms except face wrinkling are included.

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Figure 4

Maximum load capability as a function of actuator capacity and actuator

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Figure 5

Contour of actuator extension for a given actuator capacity of 250N. The plot has been truncated at Δmax=51mm.

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Figure 6

Required actuator capacity for a given actuator extension of 10%. The plot has been truncated at FACTmax=250N.

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Figure 7

Effect of variation of face thickness on load capacity for various materials

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Figure 8

Specific external load capacity as a function of the actuator load capacity for various engineering materials

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Figure 9

Variation of the face thickness and comparison of face wrinkling to face yielding. (a) Face thickness fixed at λsm=1. (b) Face thickness fixed varied λsm=1, 5 and 15.

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Figure 10

Maximum load capability as a function of the solid face sheet thickness with and without face wrinkling



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