Analysis of the deformed shape of a heliogyro solar sail blade taking into account stress-dependent reflectivity of the material
Authors: Zimin V.N., Nerovnyy N.A. | Published: 12.01.2015 |
Published in issue: #1(658)/2015 | |
Category: Calculation and Design of Machinery | |
Keywords: solar sail, heliogyro solar sail, equilibrium equation, reflectivity |
The influence of mechanical stresses on the optical characteristics of thin-film materials plays an important part in the performance analysis of solar sails. Until recently, this analysis has not been performed. The equilibrium equation of a heliogyro solar sail blade is deduced for the case of a linear dependence of the reflectivity on tensile stresses. The deformed shape of a solar sail blade is calculated taking into account stress-dependent reflectivity. It is compared with an ideal surface obtained without taking into account this dependence. The proposed approach is suggested to be used when developing an accurate model of the deformed and thermal state of a heliogyro solar sail.
References
[1] Raikunov G.G., Komkov V.A., Mel'nikov V.M., Kharlov B.N. Tsentrobezhnye beskarkasnye krupnogabaritnye kosmicheskie konstruktsii [Centrifugal frameless large space structures]. Moscow, Fizmatlit publ., 2009. 448 p.
[2] Wilkie W.K., Warren J.E, Horta L.G., Juang Jer-Nan, Gibbs S.C., Dowell E., Guerrant D., Lawrence D. Recent Progress in Heliogyro Solar Sail Structural Dynamics. European Conference on Spacecraft Structures, Materials and Environmental Testing; 1–4 Apr. 2014, Brunswick, Germany, 2014, NF1676L-17902.
[3] Sazonov V.V., Sazonov V.V. Calculation of resultant vector and principal moment of light pressure forces acting upon the spacecraft with a solar sail. Cosmic Research, 2011, vol. 49, no. 1, pp. 56–64.
[4] Tenenbaum S.M. Matematicheskaia model smatyvaniia niti s katushki [The mathematical model of thread unrolling from a bobbin]. Nauka i obrazovanie. MGTU im. N.E. Baumana [Science and Education. Bauman MSTU]. 2014, no. 5, pp. 102-120. Available at: http://technomag.bmstu.ru/doc/704634.html (accessed 24 November 2014).
[5] Tsander F.A. Problema poleta pri pomoshchi raketnykh apparatov [Problem of flight with the help of rocket vehicles]. Moscow, Ripol Klassik publ., 2013. 246 p.
[6] MacNeal R.H. The Heliogyro: An Interplanetary Flying Machine. Santa Barbara, California, Astro Research Corp., 1967. 65 p.
[7] Spencer H., Carroll K.A. Real Solar Sails are Not Ideal, and Yes It Matters. Advances in Solar Sailing, Berlin Heidelberg, Springer, 2014, pp. 921–940.
[8] Edwards D.L., Semmel C., Hovater M., Nehls M., Gray P., Hubbs W., Wertz G. Status of solar sail material characterization at NASA’s Marshall Space Flight Center. Protection of materials and structures from the space environment, 2006, pp. 233–246.
[9] Nerovnyi N.A., Zimin V.N. Ob opredelenii sily svetovogo davleniia na solnechnyi parus s uchetom zavisimosti opticheskikh kharakteristik materiala parusa ot mekhanicheskikh napriazhenii [Determination of the Radiation Pressure Force Acting on a Solar Sail Taking into Account Stress-Dependent Optical Parameters of Sail Material]. Vestnik MGTU im.N.E. Baumana. Ser. Mashinostroenie [Herald of the Bauman Moscow State Technical University. Mechanical Engineering]. 2014, no. 3(96), pp. 61–78.
[10] Blomquist R.S. Heliogyro control. Pittsburgh, Carnegie Mellon University, 2009. 141 p.
[11] Gonzalez G.J. Design of a compact, lightweight, and low-cost solar concentrator. Thesis (S.B.), Massachusetts, Massachusetts Institute of Technology, 2004. 51 p.