Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-19T11:32:14.715Z Has data issue: false hasContentIssue false

Axisymmetric hydroelastic sloshing in a circular cylindrical container

Published online by Cambridge University Press:  04 July 2016

Helmut F. Bauer
Affiliation:
Georgia Institute of Technology, Atlanta, Georgia
James T. S. Wang
Affiliation:
Georgia Institute of Technology, Atlanta, Georgia
P. Y. Chen
Affiliation:
Georgia Institute of Technology, Atlanta, Georgia

Extract

The motion of liquid in the containers of a vehicle may have severe influence upon the stability of the vehicle. For this reason many authors have investigated the behaviour of liquid with a free surface due to various modes of excitation. In the earlier development of small vehicles, the frequencies of the elastic structures were relatively high compared to the propellant frequencies and the effect of their interaction could be neglected. With the increase of modern space vehicles this interaction of the propellant with the elastic structure is becoming a pronounced influence upon the design of the vehicle and its control system. This has some influence upon the stability and response behaviour of a large space vehicle, since the close grouping of propellant sloshing and structural frequencies around the control frequency of the vehicle creates continuous interaction during flight.

Type
Technical Notes
Copyright
Copyright © Royal Aeronautical Society 1972 

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.)

Footnotes

*

Professors, School of Engineering Science and Mechanics.

Formerly Research Assistant, School of Engineering Science and Mechanics, Georgia Institute of Technology; presently Senior Research Engineer, Babcock and Wilcox, Alliance, Ohio.

References

1. Bauer, H. F. Treibstoffschwingungen in Raketenbehältern und ihr Eirfluss auf die Gesamtstabilität. Zeitschrift für Flugwissenschaften, Teil I pp. 85-101, March 1964. Teil II pp. 222229, June 1964.Google Scholar
2. Cooper, R. M. Dynamics of liquids in moving containers. Journal of American Rocket Society, 30. p. 725. August 1960.Google Scholar
3. Abramson, H. N. Dynamics of liquids in moving containers. NASA SP-106. 1966.Google Scholar
4. Bauer, H. F. Zum Zusammenwirken Struktureller Schwingungen, des Treibstoffschwappens und der Steuerfrequenz bei Trägerraketen. Raumfahrtforschung, Heft 2, Bd. IX. pp. 7690. April-June 1965.Google Scholar
5. Bauer, H. F. Stability boundaries of liquid-propelled elastic space vehicles with sloshing. Journal of Space Flight and Rockets. Vol 3, No 2. pp. 240246. February 1966.Google Scholar
6. Bauer, H. F. Theory of liquid sloshing in compartmented cylindrical tanks due to bending excitation. AIAA Journal, 1, 11. pp. 26012606. 1963.Google Scholar
7. Bauer, H. F. Hydroelastische Schwingungen im Aufrechten Kraszylinderbehatter. Zeitschrift für Flugwissenschaften, 18 Jahrgang, Heft 4. pp. 113. April 1970.Google Scholar
8. Hwang, Chintsun. Longitudinal sloshing of a liquid in a flexible hemispherical tank. Journal of Applied Mechanics. Trans ASME, paper No G-APM-14. 1965.Google Scholar
9. Gossard, M. L. Axisymmetric dynamic response of liquid filled hemispherical thin-walled, elastic tanks. AIAA Symposium of Structural Dynamics and Aeroelasticity, 30th August-1st September, 1965.Google Scholar
10. Coale, C. W. and Nagano, M. Axisymmetric modes of an elastic cylindrical-hemispherical tank partially filled with a liquid. AIAA Symposium of Structural Dynamics and Aeroelasticity, 30th August-1st September, 1965.Google Scholar
11. Rabinovich, F. I. Concerning the equations of elastic oscillations of thin-walled bars filled with a liquid having a free surface. Space Technology Lab, Translation STL-T-RV-19, from Akad. Nauk. SSSR Izvestiju OTN Meckhanika i Machinostrogenic, No 4. 1959.Google Scholar
12. Miles, J. W. On the sloshing of liquid in a flexible tank. Journal of Applied Mechanics 25, pp. 277283. 1958.Google Scholar
13. Lindholm, U. S., Chu, W. H. and Abramson, H. N. Bending vibrations of a circular cylindrical shell with an internal liquid with a free surface. AIAA Journal, Vol 1, No 9, pp. 20922099. 1963.Google Scholar
14. Chu, W. H. Breathing vibrations of a partially filled cylindrical tank-linear theory. Journal of Applied Mechanics, Vol 30, No 4, pp. 532536. December 1963.Google Scholar
15. Chu, W. H. and Gonzales, R. Supplement to breathing vibrations of a partially filled cylindrical tank-linear theory. Journal of Applied Mechanics, Vol 3, No 4, pp. 722723. December 1964.Google Scholar
16. Yu, Y. Y. Free vibrations of thin cylindrical shells having finite lengths with freely supported and clamped edges. Journal of Applied Mechanics, Vol 22, Trans ASME, pp. 547552. 1955.Google Scholar
17. Fontenot, L. L. and Lianis, G. The free vibrations of thin elastic pressurised cylindrical shells filled with a perfect and incompressible liquid having a free surface. International Symposium on Space Technology and Science, Tokyo, Japan. September 1963.Google Scholar
18. Rabinovich, F. I. The equations of the transverse vibrations of liquid-filled shells. NASA-TT-F-216. 1964.Google Scholar
19. Lindholm, J. S., Kana, D. D. and Abramson, H. N. Breathing vibrations of a circular cylindrical shell with an internal liquid. Journal of Aerospace Science, Vol 29, No 9, pp. 10521059. September 1962.Google Scholar
20. Natyshkin, V. F. and Rakhimov, I. S. Oscillation of a cylindrical shell partially filled with a fluid. Aviatrionnaia Tekhnika, Vol 17, No 3, pp. 7579. (IAAA 64-28276). 1964.Google Scholar
21. Bhuta, Pravin G. and Koval, Leslie R. Coupled oscillations of a liquid with a free surface in a tank. ZAMP, Vol 15. 1964.Google Scholar
22. Bhuta, P. G. and Koval, L. R. Hydroelastic solution of the sloshing of a liquid in a cylindrical tank. J. Acoust. Soc. Am., Vol 36, No 11, pp. 20712079. November 1964.Google Scholar
23. Bauer, H. R., Hsu, T. M. and Wang, J. T. S. Liquid sloshing in elastic container. NASA CR-882. September. 1967. Also: Interaction of sloshing with elastic containers. Journal of Basic Engineering, ASME, Vol 90, Series D, No 3, pp. 373377. September 1968.Google Scholar
24. Moore, S. E. A useful solution for short cylindrical shells. J. of Franklin Institute, pp. 490506. December 1963.Google Scholar