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

  • 투고 : 2013.12.10
  • 심사 : 2014.02.14
  • 발행 : 2013.12.25

초록

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.

키워드

참고문헌

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피인용 문헌

  1. Influence of liquid sloshing on dynamics of flexible space structures vol.401, 2017, https://doi.org/10.1016/j.jsv.2017.04.029
  2. Strongly coupling partitioned scheme for enhanced added mass computation in 2D fluid-structure interaction vol.5, pp.3, 2013, https://doi.org/10.12989/csm.2016.5.3.235
  3. Influence of torsional rigidity of flexible appendages on the dynamics of spacecrafts vol.8, pp.1, 2013, https://doi.org/10.12989/csm.2019.8.1.019