Abstract
As a necessary precursor to a heliogyro solar sail flight demonstration, meaningful ground test experiments are necessary for predicting the linear and nonlinear structural dynamics of the heliogyro membrane blades in flight. This paper describes analytical comparisons of linear and nonlinear behavior of a multi-link discrete model of a heliogyro blade under 1-g gravitational and centrifugal loads, and one setup for experimental validation of 1-g out-of-plane motion. Linear system-identification is performed on the multi-link experimental data to validate the 1-g multi-link model of a heliogyro membrane blade.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Abbreviations
- A :
-
= discrete-time state matrix
- B :
-
= discrete-time input matrix
- C :
-
= output matrix
- D :
-
= direct transmission matrix
- \( \hat{e}_{x} (t) \) :
-
= unit vector pointing to the direction of the gravitation field
- \( \hat{e}_{y} (t) \) :
-
= unit vector perpendicular to \( \hat{e}_{x} (t) \) and \( \hat{e}_{x} (t) \) obeying the usual ordering of the axes
- \( \hat{e}_{z} (t) \) :
-
= unit vector perpendicular to the plane of the chain in still motion
- l:
-
= total length of the membrane blade, meter
- m :
-
= total mass of the membrane blade, gram
- m i j :
-
= discretized mass of the membrane blade; i = 1,2,…n; j = 1,2
- n :
-
= degree of freedom (number of discretized sectors of the membrane blade)
- s :
-
= half width of the membrane, meter
- \( \theta_{i} \) :
-
= ith angular displacement of in-plane motion, radian; i = 1,2,…n
- \( \phi_{i} \) :
-
= ith angular displacement of out-of-plane/bending motion, radian; i = 1,2,…n
- \( \varphi_{i} \) :
-
= ith angular displacement of twisting motion, radian; i = 1,2,…n
- \( \tau_{{\theta_{i} }} \) :
-
= torque for the ith angular displacement of in-plane motion; i = 1,2,…n
- \( \tau_{{\phi_{i} }} \) :
-
= torque for the ith angular displacement of out-of-plane/bending motion; i = 1,2,…n
- \( \tau_{{\phi_{i} }} \) :
-
= torque for the ith angular displacement of twisting motion; i = 1,2,…n
References
MacNeal, R., “The Heliogyro: An Interplanetary Flying Machine,” NASA Contractor Report CR 84460, June 1967.
MacNeal, R. H., Structural Dynamics of the Heliogyro, NASA-CR-1745A, 1971.
McInnes, C. R., Solar Sailing: Technology, Dynamics and Mission Applications, Springer Praxis, New York, 1999.
Frisbee, R., “Solar Sails for Mars Cargo Missions”, Space Technology and Applications International Forum – STAIF 2002, January 14, 2002 – Volume 608, pp. 374-380.
Johnson, L., Young, R., Montgomery, E., and Alhom, D., “Status of Solar Sail Technology Within NASA,” Advances in Space Research, Vol. 48, No. 11, 2011, pp. 1687–1694.
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!,” 25th Annual AIAA/USU Conference on Small Satellites, Logan, Utah, 8-11 Aug. 2011.
Wilkie, W.K., Warren, J.E., Thomson, M.W., Lisman, P.D., Walkemeyer, P.E., Guerrant, D.V., and Lawrence, D.A.,. “The Heliogyro Reloaded.” JANNAF 5th Spacecraft Propulsion Subcommittee Joint Meeting, December 2011.
Juang, J.-N., Hung, C.-H., and Wilkie, W. K., “Dynamics of a Spinning Membrane”, AAS 12-601, Jer-Nan Juang Astrodynamics Symposium, College Station, Texas, June 25-26, 2012.
Guerrant, D., Lawrence, D., and Wilkie, W.K.,. “Heliogyro Solar Sail Blade Twist Control,” 35th Annual AAS Guidance and Control Conference, 3–8 February 2012, Breckenridge, Colorado.
Guerrant, D., W. K. Wilkie, D. Lawrence. “Heliogyro Blade Twist Control via Reflectivity Modulation,” 13th AIAA Gossamer Systems Forum, 23-26 April, 2012, Honolulu, Hawaii. Won the award for Best Paper.
Guerrant, D., D. Lawrence, W. K. Wilkie. “Performance of a Heliogyro Blade Twist Controller with Finite Bandwidth,” AIAA/AAS Astrodynamics Specialist Conference, August 2012, Minneapolis, MN.
Guerrant, D. and D. Lawrence, “Heliogyro Solar Sail Blade Twist Stability Analysis of Root and Reflectivity Controllers,” AIAA Guidance, Navigation and Control Conference, August 2012, Minneapolis, MN. Finalist in the student paper competition.
Guerrant, D., Lawrence, D., Wilkie, W.K., “Dynamics and Control of the HELIOS Solar Sail Demonstrator,” 63 rd International Astronautical Congress, October, 2012, Naples, Italy.
Juang, J.-N., Applied System Identification, Prentice Hall, Inc., Englewood Cliffs, New Jersey 07632, 1994, ISBN 0-13-079211-X.
Juang, J-N. and Phan, M.Q., Identification and Control of Mechanical Systems, Cambridge University Press, New York, NY 10011-4211, 2001, ISBN 0-521-78355-0.
Acknowledgments
This research was supported in part by (received funding from) the Headquarters of University Advancement at the National Cheng Kung University, which is sponsored by the Ministry of Education, Taiwan, ROC.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Huang, YR., Juang, JN., Hung, CH., Keats Wilkie, W. (2014). Dynamics of a Coupled Pendulum Model of a Heliogyro Membrane Blade. In: Macdonald, M. (eds) Advances in Solar Sailing. Springer Praxis Books(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34907-2_42
Download citation
DOI: https://doi.org/10.1007/978-3-642-34907-2_42
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34906-5
Online ISBN: 978-3-642-34907-2
eBook Packages: EngineeringEngineering (R0)