Multibody Dynamics of Flexible Liquid Rockets with Depleting Propellant

No AccessEngineering NoteMultibody Dynamics of Flexible Liquid Rockets with Depleting PropellantPengxiang Hu and Gexue RenPengxiang HuSchool of Aerospace, Tsinghua University, 100084 Beijing, People’s Republic of China*Ph.D. Candidate, School of Aerospace; .Search for more papers by this author and Gexue RenSchool of Aerospace, Tsinghua University, 100084 Beijing, People’s Republic of China†Professor, School of Aerospace; .Search for more papers by this authorPublished Online:29 Oct 2013https://doi.org/10.2514/1.59686SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations About References [1] Rosser J. B., Newton R. R. and Cross G. L., Mathematical Theory of Rocket Flight, McGraw–Hill, New York, 1947, pp. 1–50. Google Scholar[2] Thomson W. T., Introduction to Space Dynamics, Wiley, New York, 1963, pp. 230–236. Google Scholar[3] Grubin C., “Mechanics of Variable Mass Systems,” Journal of the Franklin Institute, Vol. 276, No. 4, 1963, pp. 305–312. doi:https://doi.org/10.1016/0016-0032(63)90455-1 JFINAB 0016-0032 CrossrefGoogle Scholar[4] Leitmann G., “On the Equation of Rocket Motion,” Journal of the British Interplanetary Society, Vol. 16, 1957, pp. 141–147. JBISAW 0007-084X Google Scholar[5] Seide P., “Effect of Constant Longitudinal Acceleration on the Transverse Vibration of Uniform Beams,” Aerospace Corp., Rept. TDR-169(3560-30)-TN-6, Oct. 1963. Google Scholar[6] Beal T. R., “Dynamic Stability of a Flexible Missile Under Constant and Pulsating Thrust,” AIAA Journal, Vol. 3, No. 3, 1965, pp. 486–494. doi:https://doi.org/10.2514/3.2891 AIAJAH 0001-1452 LinkGoogle Scholar[7] Birnbaum S., “Bending Vibrations of a Perforated Grain Solid Propellant Rocket During Powered Flight,” Institute of Aerospace Sciences (IAS) Paper 61-30, 1961. Google Scholar[8] Edelen D. G. B., “On the Dynamical Effects of Fuel Flow on the Motion of Boost Vehicles,” Rand Corp., Rept. RM-3268-NASA, Santa Monica, CA, 1962. Google Scholar[9] Meirovitch L. and Wesley D. A., “On the Dynamic Characteristics of a Variable-Mass Slender Elastic Body Under High Acceleration,” AIAA Journal, Vol. 5, No. 8, 1967, pp. 1439–1447. doi:https://doi.org/10.2514/3.4217 AIAJAH 0001-1452 LinkGoogle Scholar[10] Meirovitch L., “General Motion of a Variable-Mass Flexible Rocket with Internal Flow,” Journal of Spacecraft and Rockets, Vol. 7, No. 2, 1970, pp. 186–195. doi:https://doi.org/10.2514/3.29897 JSCRAG 0022-4650 LinkGoogle Scholar[11] Banerjee A. K., “Kane’s Equations for a Variable Mass Flexible Body System,” AIAA Paper 1998-4556, Aug. 1998. LinkGoogle Scholar[12] Banerjee A. K., “Dynamics of a Variable-Mass, Flexible-Body System,” Journal of Guidance, Control, and Dynamics, Vol. 23, No. 3, 2000, pp. 501–508. doi:https://doi.org/10.2514/2.4556 JGCDDT 0162-3192 LinkGoogle Scholar[13] Huang X. and Thomas A. Z., “Dynamics of Flexible Launch Vehicles with Variable Mass,” AIAA Paper 2006-826, Jan. 2006. LinkGoogle Scholar[14] Patrick A. T., Alex L. M. and Heath E. W., “Modeling and Simulation of Variable Mass, Flexible Structures,” AIAA Paper 2009-6023, Aug. 2009. Google Scholar[15] Leslie J. Q., Tushar K. G., David F. and An H., “Mode Selection Techniques in Variable Mass Flexible Body Modeling,” AIAA Paper 2010-7607, Aug. 2010. Google Scholar[16] Franklin T. D., The New Dynamic Behavior of Liquids in Moving Containers, Southwest Research Inst., San Antonio, TX, 2000, pp. 43–59. Google Scholar[17] Ashivni S., Chetan N. and Ananthkrishnan N., “Modeling and Stability Analysis of Coupled Slosh-Vehicle Dynamics in Planar Atmospheric Flight,” AIAA Paper 2006-427, Jan. 2006. Google Scholar[18] Norman H. A., “The Dynamic Behavior of Liquids in Moving Containers,” NASA, Rept. SP-106, Washington, DC, 1966, pp. 199–221. Google Scholar[19] Playter R., Elgersma M. and Mortan B., “Modeling of the Coupled Nonlinear Dynamics of Booster Vehicles, Including Flex Modes, Engines, and Slosh,” AIAA Paper 1990-1878, July 1990. LinkGoogle Scholar[20] Kailash K. and Dan B., “Inversion Based Multibody Control-Launch Vehicle with Fuel Slosh,” AIAA Paper 2005-6149, Aug. 2005. Google Scholar[21] Connelly J. D. and Huston R. L., “The Dynamics of Flexible Multibody Systems: A Finite Segment Approach. I: Theoretical Aspects,” Computers and Structures, Vol. 50, No. 2, 1994, pp. 255–258. doi:https://doi.org/10.1016/0045-7949(94)90300-X CMSTCJ 0045-7949 CrossrefGoogle Scholar[22] Cheng Y., Dai S. L. and Ren G. X., “A Hybrid Finite Segment/Finite Element Modeling and Experiment on a Flexible Deployment System,” Journal of Sound and Vibration, Vol. 258, No. 5, 2002, pp. 931–949. doi:https://doi.org/10.1006/jsvi.2002.5135 JSVIAG 0022-460X CrossrefGoogle Scholar[23] Adhikari S., “Damping Models for Structural Vibration,” Ph.D. Dissertation, Engineering Department, Cambridge Univ., Cambridge, England, U.K., 2000. Google Scholar[24] Spears R. E. and Jensen S. R., “Approach for Selection of Rayleigh Damping Parameters Used for Time History Analysis,” Proceedings of PVP2009, American Society of Mechanical Engineers, Prague, Czech Republic, 2009, Vol. 8, pp. 17–24. doi:https://doi.org/10.1115/PVP2009-77257 Google Scholar[25] Goldstein H., Poole C. and Safko J., Classical Mechanics, Addison Wesley, San Francisco, 2002, pp. 16–21. Google Scholar[26] Hairer E., Nørsett S. P. and Wanner G., Solving Ordinary Differential Equations I: Non-Stiff Problem, Springer–Verlag, Berlin, 1987, pp. 311–358. CrossrefGoogle Scholar Previous article Next article