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Coupled Systems Mechanics Volume 2, Number 4, December 2013, pages 303-327 DOI: http://dx.doi.org/10.12989/csm.2013.2.4.303 |
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Coupled hydroelastic vibrations of a liquid on flexible space structures under zero-gravity - Part I. Mechanical model |
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Masakatsu Chiba, Shinya Chiba and Kousuke Takemura
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| 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. | ||
| Key Words | ||
| hydroelastic vibration; space structure; coupled system; sloshing | ||
| Address | ||
| Masakatsu Chiba; Department of Aerospace Engineering, Graduate School of Engineering, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai, Osaka 599-8531, Japan Shinya Chiba; Keihin corporation, 2021-8, Hosyakuji, Takanezawa-machi, Tochigi 329-1233, Japan Kousuke Takemura; NTN corporation, 1578, Higashi-Kaizuka, Iwata, Shizuoka 438-8510, Japan | ||