Skip to main content
Log in

Shape measurement and control of deployable membrane structures

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

The shape inaccuracies of inflatable antennas and the potential shape control of the surface of those structures are investigated. Surface shape inaccuracies are due to geometric nonlinear deformation. Correcting the shape of these inflatables focused on the integration of piezopolymer actuators on the membranes. The out-of-plane displacements of a membrane structure were assessed with the shadow moiré method. The experimentally measured shape of the structure confirmed the extent of deviation from the ideal optical surface, a paraboloid of revolution. Active control of the shape of the membrane was tested using a piezoelectric material, polyvinylidene fluoride (PVDF). The deformation caused by actuation of the membrane structure was evaluated using electronic speckle pattern interferometry. An analytical solution was developed to verify the extent of shape correction that can be achieved by embedded PVDF actuators. It was confirmed that micron-level shape corrections are possible for future space-based sensors that use inflatable antennae technology.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bell, K.D., Power, M., andGriffin, S., “Air Force Research Laboratory's Technology Programs Addressing Deployable Space Optical Systems,”SPIE Proceedings,3356,535–551 (1998).

    Google Scholar 

  2. Air Force Scientific Advisory Board, “New World Vistas: Air and Space Power for the 21st Century, Volume 1.” Available: http://www.plk.af.mil/ORG_CHART/XP/XPB/nwvistas.html

  3. Rogers, C.A., Stutzman, W.L., Campbell, T.G., andHedgepeth, J.M., “Technology Assessment and Development of Large Deployable Antennas,”J. Aerospace Eng.,6 (1),34–54 (1993).

    Google Scholar 

  4. Spartan 207: IAE. Available: http://spartans.gsfc.nasa.gov/missions/flown/207/207.html

  5. Hencky, H., “Uber den Spannungzustand in Kreisrunden Platten,”Zeit. F. Math. U. Phys.,63,311–317 (1915).

    Google Scholar 

  6. Stevens, H.H., Jr., “Behavior of Circular Membranes Stretched Above the Elastic Limit by Air Pressure,”Exp. Stress Anal.,2,139–146 (1944).

    Google Scholar 

  7. Jenkins, C.H., Wilkes, J.M., and Marker, D.K., “Surface Accuracy of Precision Membrane Reflectors,” ASCE, The Sixth International Conference and Exposition on Engineering Construction and Operations in Space, 118–125 (1998).

  8. Fuller, C.R., Guigou, C., andGentry, C.A., “Foam-PVDF Smart Skin for Active Control of Sound,”SPIE Proceedings,2721,26–37 (1996).

    Google Scholar 

  9. AMP Sensors: Technical Manual: Piezoelectric Polymer Film and Cable Products. Available: http://www.ampincorporated.com/sensors.html

  10. Burke, S.E., “Shape and Vibration Control of Distributed Parameter Systems—Extension of Multivariable Concepts Using Spatial Transforms,” PhD thesis, Massachusetts Institute of Technology (1989).

  11. Post, D., Han, B., Iffu, P., High Sensitivity Moiré: Experimental Analysis for Mechanics and Materials, Springer-Verlag, New York (1994).

    Google Scholar 

  12. Society for Experimental Mechanics, Inc., Handbook on Experimental Mechanics, Prentice Hall, Englewood Cliffs, NJ, 303–311 (1987).

    Google Scholar 

  13. Tuttle, M.E., “Demonstrating Moiré Fringes Using Gratings Produced with a Laser Printer,” Exp. Tech., 19–22 (Sep.–Oct. 1997).

  14. Fulton, J.P., Namkung, M., and Melvin, L.D., “Practical Estimates of the Errors Associated with the Governing Shearography Equation,” Review of Progress in Quantitative Nondestructive Evaluation, La Jolla, CA, 427–434 (1992).

  15. Novel High-Performance Piezoelectric Polyimides. Available: http://larcpubs.larc.nasa.gov/randt/1995/sectionB1.fm513.html

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maji, A.K., Starnes, M.A. Shape measurement and control of deployable membrane structures. Experimental Mechanics 40, 154–159 (2000). https://doi.org/10.1007/BF02325040

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02325040

Key Words

Navigation