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Dynamics of a Slender Spinning Membrane

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Abstract

A novel approach is introduced to conduct dynamic analysis of a spinning, high aspect ratio membrane. In this formulation, an inextensible, long, slender membrane is modeled using a discrete set of lumped masses. Lagranges equations are used to derive the highly coupled ordinary differential equations for in-plane, out-of-plane, and twisting motions for the spinning membrane. The generalized and uncoupled linear equations for small motion are used to compute the vibration mode frequencies which are compared to results from an uncoupled analysis of blade motion using rotor dynamics. Linearized behavior is shown to reduce to the linearized solutions for the spinning membrane blade developed by MacNeal. Numerical simulations along with 3-D animations are used to study the linear and nonlinear uncoupled dynamics of the spinning membrane.

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References

  1. McInnes, C.R.: Solar Sailing: Technology, Dynamics and Mission Applications. Springer Praxis, New York (1999)

    Book  Google Scholar 

  2. Wie, B.: Dynamics and control of gravity tractor spacecraft for asteroid deflection. J. Guid. Control. Dyn. 31(5) (2008)

  3. Frisbee, R.: Solar Sails for Mars Cargo Missions. In: Proceedings, Space Technology and Applications International Forum STAIF 2002, vol. 608, pp 374–380 (2002)

  4. Johnson, L., Young, R., Montgomery, E., Alhom, D.: Status of solar sail technology within NASA. Adv. Space Res. 48(11), 1687–1694 (2011)

    Article  Google Scholar 

  5. Mori, O., Tsuda, Y., Sawada, H., Funase, R., Yamamoto, T., Saiki, T., Yonekura, K., Hoshino, H., Minamino, H., Endo, T., Kawaguchi, J., IKAROS Demonstration Team: Worlds First Demonstration of Solar Power Sailing by IKAROS. In: 2nd International Symposium on Solar Sailing, New York, USA (2010)

  6. MacNeal, R: The heliogyro: an interplanetary flying machine. NASA Contractor Report CR, 84460 (1967)

  7. Heliogyro Preliminary Design, Phase II Final Report, NASA Contractor Report CR-157128 (1978)

  8. Alhorn, D.C., Casas, J.P., Agasid, E.F., Adams, C.L., Laue, G., Kitts, C., O’Brien, S.: Nanosail-D: The Small Satellite That Could!. In: 25th Annual AIAA/USU Conference on Small Satellites, pp. 8–11 Logan, Utah (2011)

  9. Wilkie, W.K., Warren, J.E., Thomson, M.W., Lisman, P.D., Walkemeyer, P.E., Guerrant, D.V., Lawrence, D.A.: The Heliogyro Reloaded. JANNAF 5th Spacecraft Propulsion Subcommittee Joint Meeting (2011)

  10. MacNeal, R.H.: Structural Dynamics of the Heliogyro, NASA Contractor Report, NASA CR-1745 (1971)

  11. Juang, J.-N.: Applied System Identification, p 07632. Prentice Hall, Englewood Cliffs (1994). ISBN 0-13-079211-X

    Google Scholar 

  12. Juang, J-N., Phan, M.Q.: Identification and Control of Mechanical Systems, pp 10011–4211. Cambridge University Press, New York (2001). ISBN 0-521-78355-0

    Book  Google Scholar 

  13. Huang, Y-R., Juang, J.-N., Hung, C.-H., Wilkie, W. K.: Dynamics of a Coupled Pendulum Model of a Heliogyro Membrane Blade. Third International Symposium on Solar Sailing, University of Strathclyde. Glasgow, Scotland (2013)

    Google Scholar 

Download references

Acknowledgments

This research activity is supported in part by NCKU (National Cheng Kung University) Academic Summit Program and Student Exchange Program of National Institute of Aerospace, Hampton, Virginia. The authors are grateful to Dr. Yu-Ru Huang of NCKU Department of Engineering Science for revising the equations of twisting motion.

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Authors and Affiliations

  1. Department of Engineering Science, National Cheng Kung University, Tainan City, Taiwan

    Jer-Nan Juang & Chung-Han Hung

  2. Aerospace Engineering Department, Texas A & M University, College Station, TX, USA

    Jer-Nan Juang

  3. National Institute of Aerospace, Hampton, VA, USA

    Jer-Nan Juang & Chung-Han Hung

  4. Structural Dynamics Branch, NASA Langley Research Center, Hampton, VA, USA

    William K. Wilkie

Authors
  1. Jer-Nan Juang
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  2. Chung-Han Hung
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  3. William K. Wilkie
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Correspondence to Jer-Nan Juang.

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Fellow AAS, AIAA, ASME.

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Juang, JN., Hung, CH. & Wilkie, W.K. Dynamics of a Slender Spinning Membrane. J of Astronaut Sci 60, 494–516 (2013). https://doi.org/10.1007/s40295-015-0062-0

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  • DOI: https://doi.org/10.1007/s40295-015-0062-0

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