Axisymmetric natural damped frequencies of a viscous liquid in a circular cylindrical container - an alternative semi-analytical solution

Forschung im Ingenieurwesen/Engineering Research

Volumn 65, Issue 7, 1999, Pages 191-199

  Bauer, H F ^a   Eidel, W ^a  

^a BUNDESWEHR UNIVERSITY MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDERS (CONTAINERS); DAMPING; NATURAL FREQUENCIES; OSCILLATIONS; PROBLEM SOLVING;

AXISYMMETRIC LIQUID MOTION;

VISCOUS FLOW;

EID: 0033280729     PISSN: 00157899     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00010871     Document Type: Article

References (21)

1. Abramson HN (ed.) (1966) The dynamic behavior of liquids in moving containers. NASA-SP-106
2. Graham EW, Rodriguez AM (1952) The characteristics of fuel motion which affect airplane dynamics. J. Appl. Mech. 19, 381-388
3. Bauer HF, Villanueva J (1966) Theory of liquid sloshing in a rectangular container with numerical examples for C-5A wing. Lockheed-Georgia Company Report no. ER-8390
4. Bauer HF (1964) Treibstoffschwingungen in Raketenbehältern und ihr Einfluß auf die Gesamtstabilität, Teil I. ZFW 12, 85-101
5. Bauer HF (1963) Theory of liquid sloshing in compartmented cylindrical tanks due to bending excitation. AIAA Journal 1, 1590-1595
6. Bauer HF (1963) Liquid sloshing in a cylindrical quartertank. AIAA Journal 1, 2601-2606
7. Bauer HF (1966) Response of liquid in a rectangular container. Journal of the Engineering Mechanics Division. Proceedings of the American Society of Civil Engineers 92, 1-23
8. Bauer HF (1981) Flüssigkeitsschwingungen mit freier Oberfläche in keilförmigen Behältern. Acta Mechanica 38, 31-34
9. Bauer HF (1982) Flüssigkeitsschwingungen in Kegelbehälterformen. Acta Mechanica 43, 185-200
10. Bauer HF (1981) Freie Flüssigkeitsschwingungen in parabolischen Behälterformen. ZFW 5, 249-253
11. Bauer HF (1984) Forced liquid oscillations in paraboloid-containers. ZFW 8, 49-55
12. Bauer HF, Eidel W (1989) Liquid oscillations in a prolate spheroid. Ingenieur-Archiv 5, 371-381
13. Budiansky B (1960) Sloshing of liquids in circular canals and spherical tanks. J. Aerospace Sci. 27, 161-173
14. Chun WH (1964) Fuel sloshing in a spherical tank filled to an arbitrary depth. AIAA Journal 2, 1972-1979
15. Chun WH (1960) Sloshing of liquids in cylindrical tanks of elliptical cross section. ARS-J. 30, 360-363
16. Rattayya J (1965) Sloshing of liquids in axisymmetric ellipsoidal tanks. AIAA-paper 65-114. AIAA-2, Aerospace Science Meeting. New York
17. Levin E (1973) Oscillations of a fluid in a rectilinear conical container. AIAA-J. 1, 1447
18. Dokuchaev LV (1964) On the solution of a boundary value problem on the sloshing of a liquid in conical cavities. PMM 28, 151-154
19. Lamb H (1945) Hydrodynamics, 6th edition, Dover Publ., New York
20. Bauer HF (1992) Liquid oscillations in a circular cylindrical container with "sliding" contact line. Forsch. Ing. Wes. 58, 240-251
21. Bauer HF, Eidel W (1997) Axisymmetric viscous liquid oscillations in a cylindrical container. Forsch. Ing. Wes. 63, 189-201