Study of minimal effective reefing ratio based on an empirical formula and fluid-structure-interaction method
The reefing ratio for the first stage of a parachute limits the reefing ratio for the subsequent stages, so its minimal effective value is very important. In this paper, an empirical formula is derived to calculate the minimal effective reefing ratio. The empirical parameters are obtained by the arbitrary Lagrangian–Eulerian/fluid–structure interaction (ALE/FSI) method. By using the FSI method, the typical flow and structure fields of effective and ineffective reefed parachutes are revealed. The numerical results including drag characteristics and final shape are very consistent with wind tunnel tests. The curves of the empirical parameters with reefing ratios are obtained. The minimal effective reefing ratio obtained by the empirical formula is consistent with that of the numerical results, which shows that the empirical formula has high accuracy.
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Bledsoe, K., Englert, M., Morris, A., & Olmstead, R. (2009). Overview of the Crew Exploration Vehicle Parachute Assembly System (CPAS) Generation I Main and cluster development test results. Paper presented at the 20th AIAA Aerodynamic Decelerator Systems Technology Conference and Seminar, Seattle, Washington (AIAA 2009-2940).
Cheng, H., Yu, L., Rong, W., & Jia, H. (2012a). A numerical study of parachute inflation based on a mixed method. Aviation, 16(4), 115-123. https://doi.org/10.3846/16487788.2012.753676
Cheng, H., Yu, L., & Yin, Z. W. (2012b). A new method of complicated folded fabric modeling. Journal Harbin Institute Technology, 19(2), 43-73.
Gao, S. Y., & Yu, L. (2014). Influence of reefing ratio on inflation performance of ringsail parachute. Chinese Space Science and Technology, 1(1), 63-70.
Holt, I. T. (1968). Design and development of a heavy duty 76-ft ribbon parachute. Paper presented at the AIAA 2nd Aerodynamic Deceleration Systems Conference (AIAA 68-930). https://doi.org/10.2514/6.1968-930
Jason, D. C. (2009). Computational aerodynamics modeling of the reefed stages of ringsail parachutes. Rice University, Houston.
Jose, G. V., & Eric, S. R. (2013). Skipped stage modeling and testing of the CPAS Main parachutes. Paper presented at the AIAA Aerodynamic Decelerator Systems (ADS) Conference, Daytona Beach, Florida.
Kenji, T., Tayfun, E. T., & Cody, B. (2014). FSI modeling of the reefed stages and disreefing of the Orion spacecraft parachutes. Computational Mechanics, 54(5), 1203-1220. https://doi.org/10.1007/s00466-014-1052-y
Ma, C. S., Yue, H., & Huang, S. L. (2005). A study on airbag folding patterns for improving occupant protection effectiveness. Automotive Engineering, 27(3), 350-362.
Manley, C., & Butler, J. R. (2009). The design and development of emergency parachute canopies utilizing canopies utilizing the BAT Sombrero Slider. Retrieved from https://www.butlerparachutes.com/pdf/piapresen.pdf
Robert, B. W. (1973). Apollo Experience Report earth landing system (NASA Technical Notes, NASA TN D-7437). Washington.
Runkle, R. E., & Wolf, D. F. (1995). Space Shuttle Solid Rocket Booster lightweight recovery system. Journal of Spacecraft & Rockets, 22(6), 668-670. https://doi.org/10.2514/6.1995-1594
Tang, J., & Qian, L. (2015). Numerical study of the reefing control of parachute inflation shock. Paper presented at the Proceeding of the 2015 IEEE International Conference on Information and Automation in Lijiang, China. https://doi.org/10.1109/ICInfA.2015.7279619
Wang, L. R. (1997). Parachute theory and applications. Beijing, China: Aerospace Press.