Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-19T12:08:08.964Z Has data issue: false hasContentIssue false
  • English
  • Français

Integrated one-dimensional dynamic analysis methodology for space launch vehicles reflecting liquid components

Published online by Cambridge University Press:  11 July 2017

J.B. Kim ,
J.S. Sim ,
S.G. Lee ,
S.J. Shin ,
J.H. Park  and
Y. Kim
J.B. Kim
Affiliation:
School of Mechanical and Aerospace Engineering, Seoul National University, Seoul, Republic of Korea
J.S. Sim*
Affiliation:
School of Mechanical and Aerospace Engineering, Seoul National University, Seoul, Republic of Korea
S.G. Lee
Affiliation:
School of Mechanical and Aerospace Engineering, Seoul National University, Seoul, Republic of Korea
S.J. Shin
Affiliation:
School of Mechanical and Aerospace Engineering, Seoul National University, Seoul, Republic of Korea
J.H. Park
Affiliation:
School of Mechanical and Aerospace Engineering, Seoul National University, Seoul, Republic of Korea
Y. Kim
Affiliation:
School of Mechanical and Aerospace Engineering, Seoul National University, Seoul, Republic of Korea
*
ssjoon@snu.ac.kr
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper, structural modelling and dynamic analysis methods reflecting the characteristics of a liquid propellant were developed for a pogo analysis. The pogo phenomenon results from the complex interaction between the vehicle structural vibration in the longitudinal direction and the propulsion system. Thus, for an accurate vibration analysis of a liquid propellant launch vehicle, both the consumption of the liquid propellant and the change in the stiffness reflecting the nonlinear hydroelastic effect were simultaneously considered. A complete vehicle structure, including the liquid propellant tanks, was analytically modelled while focusing on pogo. In addition, a feasible liquid propellant tank modelling method was established to obtain an one-dimensional complete vehicle model. With these methods, comparative studies of the hydroelastic effect were conducted. Evaluations of the dynamic analysis of a reference vehicle were also conducted during the first burning stage. The numerical results obtained with the present orthotropic model and the dynamic analysis method were found to be in good agreement with the natural vibration characteristics according to previous analyses and experiments. Additionally, the reference vehicle showed the estimated occurrence of pogo in the first structural mode when compared with the frequencies of the propellant feeding system. In conclusion, the present structural modelling and modal analysis procedures can be effectively used to analyse dynamic characteristics of liquid propellant launch vehicles. These techniques are also capable of identifying the occurrence of pogo and providing design criteria related to pogo instability.

Keywords

Rocket enginesspacestructural dynamicslaunch vehiclesstructural dynamicspogohydroelasticliquid propellantspring-masslongitudinal responseSaturn Vfluid structure interactionliquid propulsion
Type
Research Article
Information
The Aeronautical Journal , Volume 121 , Issue 1243 , September 2017 , pp. 1217 - 1238
Copyright
Copyright © Royal Aeronautical Society 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Rasumoff, A. and Winje, R.A. The pogo phenomenon: Its causes and cure, Astronautical Research, 1971, pp 307-322.Google Scholar
2. Anonymous. NASA space vehicle design criteria – prevention of coupled structure-propulsion instability (POGO), NASA SP-8055, 1970.Google Scholar
3. Anonymous. NASA space vehicle design criteria – natural vibration modal analysis, NASA SP-8012, 1970.Google Scholar
4. Anonymous. NASA space vehicle design criteria – structural vibration prediction, NASA SP-8050, 1970.Google Scholar
5. Rubin, S. Longitudinal instability of liquid rockets due to propulsion feedback (POGO), J Spacecraft, 1966, 3, (8), pp 1188-1195.Google Scholar
6. Oppenheim, B.W. and Rubin, S. Advanced pogo stability analysis for liquid rocket, J Spacecraft and Rockets, 1993, 30, (3), pp 360-373.CrossRefGoogle Scholar
7. Wood, J.D. Survey on missile structural dynamics, EM 11-11, Vol. 1, TRW Space Technology Laboratories, 1961.CrossRefGoogle Scholar
8. Pinson, L.D. Longitudinal spring constants for liquid-propellant tanks with ellipsoidal ends, NASA TN D-2220, 1964.Google Scholar
9. Carden, H.D. and Raney, J.P. An experimental and analytical study of the longitudinal vibration of a simplified Thor vehicle structure, NASA TN-3632, 1966.Google Scholar
10. Abramson, H.N. The dynamic behaviour of liquids in moving containers, NASA SP-106, 1966.Google Scholar
11. Schett, R.H., Appleby, B.A. and Martin, J.D. Dynamic loads analysis of space vehicle systems – launch and exit phase, GDC-DDE66-012, General Dynamics Convair Division, 1966.Google Scholar
12. Gerus, T.F., Housely, J.A. and Kusic, G. Atlas-Centaur-Surveyor longitudinal dynamics tests, NASA TM X-1459, 1967.Google Scholar
13. Leadbetter, S.A., Leonard, H.W. and Brock, E.J. Design and fabrication considerations for a 1/10-scale replica model of the Apollo/Saturn V, NASA TN D-4138, 1967.Google Scholar
14. Staley, J. A. Dynamic stability of space vehicles Vol. II – determination of longitudinal vibration modes, NASA CR-936, 1967.Google Scholar
15. Wingate, R.T. Matrix analysis of longitudinal and torsional vibrations in nonuniform multibranch beams, NASA TN D-3844, 1967.Google Scholar
16. Pengelley, C.D. Natural frequency of longitudinal modes of liquid propellant space launch vehicles, J Spacecraft, 1968, 5, (12), pp 1425-1431.Google Scholar
17. Glaser, R.F. Longitudinal mass-spring modelling of launch vehicles, NASA TN D-5371, 1969.Google Scholar
18. Pinson, L.D. and Leonard, H.W. Longitudinal vibration characteristics of 1/10-scale Apollo/Saturn V replica model, NASA TN D-5159, 1969.Google Scholar
19. Glaser, R.F. Analysis of axisymmetric vibration of a partially liquid-filled elastic sphere by the method of Green's function, NASA TN D-7472, 1973.Google Scholar
20. Archer, J.S. and Rubin, C.P. Improved analytical longitudinal response analysis for axisymmetric launch vehicles, NASA CR-345, 1965.Google Scholar
21. Pinson, L.D. Evaluation of a finite-element analysis for longitudinal vibrations of liquid-propellant launch vehicles, NASA TN D-5803, 1970.Google Scholar
22. Kana, D.D. and Nagy, A. An experimental study of axisymmetric modes in various propellant tanks containing liquid, DCN 1-9-53-20030, Southwest Research Institute, 1971.Google Scholar
23. Goldman, R.L. and Rudd, T.J. Longitudinal vibration analysis of partially filled ellipsoidal tanks, J Computers and Structures, 1973, 3, pp 205-215.Google Scholar
24. Xu, D., Hao, Y. and Tang, G. New pogo analysis method using rational fitting and three-dimensional tank modelling, AIAA J, 2015, 53, (2), pp 405-412.CrossRefGoogle Scholar
25. Kohsetsu, Y. Structural system design of liquid rocket, Kyushu University, Japan, Chap. 11, 2013.Google Scholar
26. Ujino, T., Shimura, T., Kohsetsu, Y. and Niitsu, M. POGO prevention of H-2 launch vehicle, AIAA 35th Structural Dynamics and materials Conference, AIAA-94-1624-CP, 1994, Hilton Head, South Carolina, US.Google Scholar
27. Quinn, S. and Swanson, L. Overview of the main propulsion system for the NASA Ares I upper stage, AIAA/ASME/SAE/ASEE Joint Propulsion Conference, 2009, Denver, Colorado, US.Google Scholar
28. Anonymous. Saturn V flight manual-SA503, MSFC-MAN-503, NASA George C. Marshall Space Flight Centre, 1968.Google Scholar
29. Pan, Z., Xing, Y., Zhu, L., Dong, K. and Sun, M. Liquid propellant analogy technique in dynamic modelling of launch vehicle, Science China, 2010, 53, (8), pp 2102-2110.CrossRefGoogle Scholar
30. Kim, J., Shin, S., Park, J. and Kim, Y. Structural modelling reflected nonlinearity for longitudinal dynamic instability (POGO) analysis of liquid propellant launch vehicles in preliminary design phase, AIAA SPACE 2015 Conference and Exposition, 2015, Pasadena, California, US.CrossRefGoogle Scholar
31. Larsen, C.E. NASA experience with pogo in human spaceflight vehicles, NATO RTO Symposium, RTO-MP-AVT-152, 2008, Norway.Google Scholar