Browse > Article
http://dx.doi.org/10.12989/csm.2013.2.4.303

Coupled hydroelastic vibrations of a liquid on flexible space structures under zero-gravity - Part I. Mechanical model  

Chiba, Masakatsu (Department of Aerospace Engineering, Graduate School of Engineering, Osaka Prefecture University)
Chiba, Shinya (Keihin corporation)
Takemura, Kousuke (NTN corporation)
Publication Information
Coupled systems mechanics / v.2, no.4, 2013 , pp. 303-327 More about this Journal
Abstract
The coupled free vibration of flexible structures and on-board liquid in zero gravity space was analyzed, considering the spacecraft main body as a rigid mass, the flexible appendages as two elastic beams, and the on-board liquid as a "spring-mass" system. Using the Lagrangians of a rigid mass (spacecraft main body), "spring-mass" (liquid), and two beams (flexible appendages), as well as assuming symmetric motion of the system, we obtained the frequency equations of the coupled system by applying Rayleigh-Ritz method. Solving these frequency equations, which are governed by three system parameters, as an eigenvalue problem, we obtained the coupled natural frequencies and vibration modes. We define the parameter for evaluating the magnitudes of coupled motions of the added mass (liquid) and beam (appendages). It was found that when varying one system parameter, the frequency curves veer, vibration modes exchange, and the significant coupling occurs not in the region closest to the two frequency curves but in the two regions separate from that region.
Keywords
hydroelastic vibration; space structure; coupled system; sloshing;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Bauer, H.F. and Eidel,W. (1990b), "Small amplitude liquid oscillations in a rectangular container under zero gravity", Zeitsschrift fur Flugwissenschaften und Weltraumforschung, 14(1-2), 1-8.
2 He, Y.J., Ma, X.R., Wang, P.P. and Wang, B.L. (2007), "Low-gravity liquid nonlinear sloshing analysis in a tank under pitching excitation", J. Sound. Vib., 299, 164-177.   DOI   ScienceOn
3 Komatsu, K. (1999), "Modeling of the dynamic behavior of liquids in spacecraft", Int. J. Microgravity Sci. Appl., 16(3), 182-190.
4 Komatsu, K. and Shimizu, J. (1989), Dynamic behavior of liquid in spacecraft (in Japanese), NAL-NASDA Report.
5 Lu, J., Li, J.F. and Wang, T.S. (2005), "Dynamic response of liquid filled rectangular tank with elastic appendages under pitching excitation", Appl. Math. Mech-Engl., 28(3), 351-359.
6 McIntyre, J.E. and McIntyre, J.M. (1982), "Some effects of propellant motion on the performance of spinning satellites", Acta Astronaut., 9(11), 645-661.   DOI   ScienceOn
7 Santini, P. and Barboni, R. (1978), "Motion of orbiting spacecrafts with a sloshing fluid", Acta Astronaut., 5(7-8), 467-490.   DOI   ScienceOn
8 Santini, P. and Barboni, R. (1983), "A minicomputer finite elements program for microgravity hydroelastic analysis", Acta Astronat., 10(2), 81-90.   DOI   ScienceOn
9 Utsumi, M. (2004), "A mechanical model for low-gravity sloshing in an axisymmetric tank", Trans. ASME, J. Appl. Mech., 71, 724-730.   DOI   ScienceOn
10 Vreeburg, J.P.B. (2008), "Sloshsat spacecraft calibration at stationary spin rates", J. Spacecraft. Rockets, 45(1), 65-75.   DOI   ScienceOn
11 Abramson, H.N. (1966), The dynamic behavior of liquids in moving containers, Chapter 11, NASA SP-106.
12 Agrawal, B.N. (1993), "Dynamic characteristics of liquid motion in partially filled tanks of a spinning spacecraft", J. Guid. Control. Dynam., 16(4), 636-640.   DOI   ScienceOn
13 Bauer, H.F. and Eidel, W. (1990a), "Linear liquid oscillations in cylindrical container under zero gravity", Appl. Microgravity Tech., II, 212-220.
14 Farhat, C., Chiu, E.K. and Amsallem, D. (2013), "Modeling of fuel sloshing and its physical effects on flutter", AIAA J., 51(9), 2252-2265.   DOI
15 Berglund, M.D., Bassett, C.E., Kelso, J.M., Mishic, J. and Schrange, D. (2007), "The Boeing Delta IV launch vehicle-Pulse-settling approach for second-stage hydrogen propellant management", Acta Astronaut., 61, 416-424.   DOI   ScienceOn
16 Buzhinskii, V.A. (2009), "The equations of the perturbed motion of a rocket as a thin-walled structure with a liquid", J. Appl. Math. Mech., 73, 692-695.   DOI   ScienceOn
17 Chiba, M., Watanabe, H. and Bauer, H.F. (2002), "Hydroelastic coupled vibrations in a cylindrical container with a membrane bottom, containing liquid with surface tension", J. Sound. Vib., 251(4), 717-740.   DOI   ScienceOn