Authors

Abstract

در این مقاله، معادلات کوپل‌شده جسم صلب- تلاطم سیال- الاستیسیته برای پرواز شش درجه آزادی ماهواره‌برها توسعه داده شده است. معادلات حرکت به کمک معادلات لاگرانژ در دستگاه شبه مختصات و همچنین در دستگاه مختصات اینرسی استخراج شده‌اند. مدل پاندول ساده برای حرکت صفحه‌ای به منظور مدل کردن دینامیک تلاطم سیال در پرواز شش درجه آزادی گسترش داده شده و تغییر شکل‌های الاستیک بر اساس مختصات مودال نسبت به مختصات میانی ارائه شدند و نیز نشان داده شده است که این مدل با مدل ساده‌تر حرکت صفحه‌ای که در مطالعات پیشین توسعه یافته است، سازگاری دارد. مدل دینامیکی پیشنهاد شده در کنار مدل‌های لازم برای سایر زیرسیستم‌ها در برنامة متلب/ سیمولینک با موفقیت برای شبیه‌سازی حرکت شش درجه آزادی ماهواره‌برها به کار گرفته شده است.

Keywords

  1. Abramson, H. A., “The Dynamic Behavior of Liquids in Moving Containers”, NASA SP-106, 1966.
  2. Dodge, F. T., “The New Dynamic Behavior of Liquids in Moving Containers”, Southwest Research Institute, 2000.
  3. Ibrahim, R. A., Liquid Sloshing Dynamics, Cambridge University Press, 2005.
  4. Graham, E. W., “The Forces Produced by Fuel Oscillations in a Rectangular Tank”, Douglas Aircraft Co., SM-13748, 1951.
  5. Abramson, H. N., Chu, W. H. and Ransleben, G. E., “Representation of Fuel Sloshing in Cylindrical Tanks by an Equivalent Mechanical Model”, ARS J., Vol. 31, No. 12, 1961, pp. 1697-1705.
  6. [6] Bauer, H. F., “Theory of the Fluid Oscillation in a Circular Cylindrical Ring Tank Partially Filled with Liquid”, NASA TN D-557, 1960.
  7. [7] Dodge, F. T. and Kana, D. D., “Moment of Inertia and Damping of Liquids in Baffled Cylindrical Tanks”, Spacecraft Rockets, Vol. 3, No. 1, 1966, pp. 153-155.
  8. [8] Lawrence, H. R., Wang, C. J. and Reddy, R. B., “Variational Solution of Fuel Sloshing Modes”, Jet Propulsion, Vol. 128, No. 11, 1958, pp. 729-736.
  9. [9] Lomen, D. O., “Liquid Propellant Sloshing in Mobile Tanks of Arbitrary Shape,” NASA CR-222, 1965.
  10. Abramson, H. N. and Ransleben, G. E., “Some Comparison of Sloshing Behavior in Cylindrical Tanks with Flat and Conical Bottoms”, ASR J., Vol. 31, No. 4, 1961, pp. 542-544.
  11. Schlee, K., Gangadharam, S. and Ristow J., “Advanced method to Estimate Fuel Slosh Simulation Parameters”, AIAA paper 2005-3596, 2005.
  12. Odhekar, D. D., Gandhi, P. S. and Joshi, K. B., “Novel Methods for Slosh Parameter Estimation Using Pendulum Analogy”, AIAA Paper 2005-5923, 2005.
  13. Meirovitch, L. and Wesley, D. A., “On the Dynamic Characteristics of Variable-Mass Slender Body under High Accelerations”, AIAA J., Vol. 5, No. 8, 1967, pp. 1439-1447.
  14. Meirovitch, L., “The General Motion of a Variable-Mass Flexible Rocket with Internal Flow”, NASA CR-1528, 1970.
  15. Meirovitch, L., “General Motion of a Variable-Mass Flexible Rocket with Internal Flow”, Spacecraft and Rockets, Vol. 7, No. 2, 1970, pp. 186-195.
  16. Waszak, M. R, and Schmidt, D. K, “Flight Dynamics of Aeroelastic Vehicles”, Journal of Aircraft, Vol. 25, 6, 1988, pp 565-571.
  17. Bilimoria, K. D. and Schmidt, D. K., “Integrated Development of the Equations of Motion for Elastic Hypersonic Flight Vehicles”, AIAA J. Guidance, Control and Dynamics, Vol. 18, No. 1, 1995, pp 73-81.
  18. Shekhawat, A., ‍Nichkawde, C. and Ananthkrishnan,, “Modeling and Stability Analysis of Coupled Slosh-Vehicle Dynamics in Planar Atmospheric Flight”, 44th AIAA Aerospace Sciences Meeting and Exhibit, 9-12 January 2006, Reno, Neveda.
  19. Amani, E. and Ebrahimi, M., “An Investigation of Liquid Slosh in Fuel Tanks of Launchers”, Aerospace Research Institute, Iran, Technical Report: ARI-87-21-LV-SLP-4-1-1, 2009.
  20. Amani, E., Tayefi, M., Ebrahimi, M. and Roshanian, J., “Modeling of Propellant Sloshing to Exert on Flight Simulation of Launch Vehicles”, First Specialist Conference of Flight Simulation, ARI, Tehran, Iran, 2009.
  21. James, R. R., Eduardo, R. B. and Pei-Ying, C., “Slosh Design Handbook I”, NASA CR-406, 1985.
  22. Amani E. and Ebrahimi, M., “Mathematical Modeling of Liquid Propellant Slosh Dynamics for the Application of Launcher Flight Simulation”, Aerospace Research Institute, Iran, Technical Report: ARI-89-21-LV-SLP-4-1-1, 2010.
  23. Fathi, M., Abadi, M. T., Tayefi, M. and Razi, M., “Modeling of Aeroelasticity in Launch Vehicles”, Aerospace Research Institute, Iran, Technical Report: ARI-87-31-LVAEL-1-1-1, 2009.
  24. Taheri, E., ‍Tayefi, M. and Roshanian, J., “Development of a Space Access Vehicle 6DoF Multipurpose Simulation Software in MATLAB/ Simulink”, Proceedings of the ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2010 July 12-14, 2010, Istanbul, Turkey.
  25. Mohammadi, A., ‍Tayefi, M. and Roshanian J., “Combining the Preset and IGM Methods for the Guidance of Launchers”, IAS2009-MF593, 8th Annual Conference of Iranian Aerospace Society, Esfahan, 2009.
  26. Taheri, E., ‍Tayefi, M. and Roshanian, J., “Modeling of launcher aerodynamics for 6DoF flight simulation based on MD software”, First Specialist Conference of Flight Simulation, ARI, Tehran, Iran, 2009.