Free and forced oscillations of a frictionless liquid in a long rectangular tank with structural obstructions at the free liquid surface

Archive of Applied Mechanics

Volumn 70, Issue 8-9, 2000, Pages 550-560

  Bauer, H F ^a   Eidel, W ^a  

^a BUNDESWEHR UNIVERSITY MUNICH   (Germany)

Author keywords

Forced oscillations; Rectangular container; Sloshing; Surface cover

Indexed keywords

EID: 1842731209     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004190000084     Document Type: Article

References (23)

1. Bauer, H.F.: On the destabilizing effect of liquids in various vehicles. Part I: Vehicle System Dynamics. Int J Vehicle Mech and Mobility 1 (1972) 227-260;
2. Bauer, H.F.: On the destabilizing effect of liquids in various vehicles. Part II: Vehicle System Dynamics. Int J Vehicle Mech and Mobility 2 (1973) 33-48
3. Abramson, H.N. (ed.): The dynamic behavior of liquids in moving containers. NASA-SP-106, 1966
4. Abramson, H.N.; Chu, W.-H.; Garza, L.R.: Liquid sloshing in spherical tanks. AIAA J 1 (1963) 384-389
5. Morand, H.J.-P.; Ohayon, R.: Fluid structure interaction. Wiley 1995
6. Budiansky, B.: Sloshing of liquids in circular canals and spherical tanks. J Aerospace Science 27 (1960) 161-173
7. Chu, W.-H.: Sloshing liquids in cylindrical tanks of elliptical cross section. ARS Journal 30 (1960) 360-363
8. Dokuchaev, L.V.: On the solution of a boundary value problem on the sloshing of liquid in conical cavities. PMM 28 (1964) 151-154
9. Bauer, H.F.: Flüssigkeitsschwingungen in Kegelbehälterformen. Acta Mech 43 (1982) 185-200
10. Bauer, H.F.: Freie Schwingungen in parabolischen Behälterformen. Z. Flugwiss. Weltraumforsch. 5 (1981) 249-253
11. Bauer, H.F.: Forced liquid oscillations in paraboloid-containers. Z. Flugwiss. Weltraumforsch. 8 (1984) 49-55
12. Bauer, H.F.; Eidel, W.: Liquid oscillations in a prolate spheroid. Ing. Arch. 59 (1989) 371-381
13. Lorell, J.: Forces produced by fuel oscillations. Jet Prop. Lab. Progress Report 20-149, 1951
14. Chu, W.-H.: Fuel sloshing in a spherical tank filled to an arbitrary depth. AIAA J 2 (1964) 1972-1979
15. Dokuchaev, L.V.: On the solution of a boundary value problem on the sloshing of liquid in conical cavities. PMM 28 (1964) 151-154
16. Ehrlich, L.W.; Riley, J.D.; Strange, W.G.; Troesch, B.A.: Finite difference techniques for a boundary problem with an eigenvalue in a boundary condition. J Soc Industr Appl Math 9 (1961) 149-164
17. Siekmann, J.; Schilling, U.: Calculation of the free oscillations of a liquid in motionless axisymmetric containers of arbitrary shape: Z Flugwiss. 22 (1974) 168-173
18. Lorell, J.: Forces produced by fuel oscillations. Jet Prop Lab Progress Rept 20-149 (1951)
19. Graham, E.W.; Rodriguez, A.M.: The characteristics of fuel motion which affect airplane dynamics. J Appl Mech 19 (1952) 381-388
20. Bauer, H.F.: Response of liquid in a rectangular container. Proc Americ Civil Eng, J Eng Mech 92 (1966) 1-23
21. Bauer, H.F.; Villanueva, J.: Theory of liquid sloshing in a rectangular container with numerical examples for C5 wing. Lockheed-Georgia Company, Marietta, G. Report Nr. ER-8790, 1967
22. Bauer, H.F.; Villanueva, J.: Mechanical model for the description of the liquid motion in a rectangular container with numerical examples for C-5A wing. Lockheed-Georgia Company, Marietta, Ga. Report No. ER 8559, 1967
23. Lamb, H.: Hydrodynamics. Sixth Ed. New York, Dover Publ. 1945