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Volume 55 Issue 2
Feb.  2023
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Yu Jiarui, Yue Baozeng, Li Xiaoyu. Study on isogeometric analysis for large-amplitude propellant sloshing and spacecraft coupled dynamics. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(2): 476-486 doi: 10.6052/0459-1879-22-539
Citation: Yu Jiarui, Yue Baozeng, Li Xiaoyu. Study on isogeometric analysis for large-amplitude propellant sloshing and spacecraft coupled dynamics. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(2): 476-486 doi: 10.6052/0459-1879-22-539


doi: 10.6052/0459-1879-22-539
  • Received Date: 2022-11-14
  • Accepted Date: 2023-01-28
  • Available Online: 2023-01-29
  • Publish Date: 2023-02-18
  • With long mission cycles and complicated space missions, modern spacecraft usually need to carry a lot of liquid propellant. Large-amplitude sloshing of liquid propellant in storage tanks will seriously affect the attitude stability and control accuracy of the spacecraft, which is an important problem for the modeling of the spacecraft coupled dynamics system and the accurate control of orbit and attitude. In this paper, a new computational fluid dynamics method for the numerical simulation of large-amplitude liquid sloshing is proposed. The modeling and spatial discretization of the whole gas and liquid mixed fluid system in the tank are carried out by using isogeometric analysis. The pressure-modified fractional step method is used for the time discretization of the governing equations. By decoupling the pressure and velocity variables, the implicit equations are transformed into the explicit equations to improve the computational efficiency. For the common liquid sloshing problem, a simple and efficient mass correction method is proposed to eliminate the liquid mass error caused by the evolution of level set function. Based on the numerical method of isogeometric analysis for liquid sloshing, the coupled dynamics system of liquid-filled spacecraft with solar panels is modeled and the motion of the coupled spacecraft is simulated. The liquid sloshing momentum equation is transformed and introduced into the spacecraft dynamics equations. The numerically stable rigid-liquid coupled dynamics equations of spacecraft affected by liquid sloshing are established. The modeling of solar panels is based on the Kirchhoff-Love plate theory and the vibration of solar panels is solved by modal analysis. By comparing the numerical simulation results with the analytical results, the correctness of the proposed method is proved. Besides, the motion of rigid-liquid-flexible coupled spacecraft is simulated. It is found that liquid sloshing has a significant effect on the amplitude and frequency of spacecraft attitude change and structural vibration.


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  • [1]
    岳宝增, 宋晓娟. 具有刚-柔-液-控耦合的航天器动力学研究进展. 力学进展, 2013, 43(1): 163-173 (Yue Baozeng, Song Xiaojuan. Advances in rigid-flexible-liquid-control coupling dynamics of spacecraft. Advances in Mechanics, 2013, 43(1): 163-173 (in Chinese)
    Fisher MF, Schmidt GR, Martin JJ. Analysis of cryogenic propellant behavior in microgravity and low thrust environments. Cryogenics, 1992, 32(2): 230-235 doi: 10.1016/0011-2275(92)90272-C
    Azuma H, Yoshinara S. Three-dimensional large-amplitude drop oscillations: experiments and theoretical analysis. Journal of Fluid Mechanics, 1999, 393: 309-332
    Vreeburg JPB. Liquid dynamics from spacelab to sloshsat. Microgravity Science and Technology, 2009, 21(1-2): 11-20 doi: 10.1007/s12217-008-9050-3
    Abramson NH. Simulation of fuel sloshing characteristics in missile tanks by use of small models. ARS Journal, 2012, 30(7): 603-612
    Faltinsen OM, Rognebakke OF, Lukovsky IA, et al. Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth. Journal of Fluid Mechanics, 2000, 407: 201-234 doi: 10.1017/S0022112099007569
    Faltinsen OM, Timokha AN. An adaptive multimodal approach to nonlinear sloshing in a rectangular tank. Journal of Fluid Mechanics, 2001, 432: 167-200 doi: 10.1017/S0022112000003311
    Faltinsen OM, Rognebakke OF, Timokha AN. Resonant three-dimensional nonlinear sloshing in a square-base basin. Journal of Fluid Mechanics, 2003, 487: 1-42 doi: 10.1017/S0022112003004816
    Hughes TJR, Cottrell JA, Bazilevs Y. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Computer Methods in Applied Mechanics & Engineering, 2005, 194(39-41): 4135-4195
    Cottrell JA, Hughes TJR, Bazilevs Y. Isogeometric Analysis: Toward Integration of CAD and FEA. Wiley Publishing, 2009
    Bulling J, John V, Knobloch P. Isogeometric analysis for flows around a cylinder. Applied Mathematics Letters, 2017, 63: 65-70 doi: 10.1016/j.aml.2016.07.023
    Bazilevs Y, Hsu MC, Akkerman I, et al. 3D simulation of wind turbine rotors at full scale. Part I: Geometry modeling and aerodynamics. International Journal for Numerical Methods in Fluids, 2011, 65(1-3): 207-235
    郭玉杰, 吴晗浪, 李薇等. 基于等几何分析的参数化曲梁结构非线性动力学降阶模型研究. 工程力学, 2022, 39(8): 31-48 (Guo Yujie, Wu Hanlang, Li Wei, et al. Model order reduction for nonlinear dynamic analysis of parameterized curved beam structures based on isogeometric analysis. Engineering Mechanics, 2022, 39(8): 31-48 (in Chinese) doi: 10.6052/j.issn.1000-4750.2021.04.0285
    王悦, 崔雅琦, 於祖庆等. 基于T样条的变网格等几何薄板动力学分析. 力学学报, 2021, 53(8): 2323-2335 (Wang Yue, Cui Yaqi, Yu Zuqing, et al. Dynamic analysis of variable mesh isogeometric thin plate based on T-spline. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(8): 2323-2335 (in Chinese)
    刘涛, 李朝东, 汪超等. 基于三阶剪切变形理论的压电功能梯度板静力学等几何分析. 振动与冲击, 2021, 40(1): 73-85 (Liu Tao, Li Chaodong, Wang Chao, et al. Static iso-geometric analysis of piezoelectric functionally graded plate based on third-order shear deformation theory. Journal of Vibration and Shock, 2021, 40(1): 73-85 (in Chinese)
    Qian Z, Wang L, Zhang C, et al. A highly efficient and accurate Lagrangian-Eulerian stabilized collocation method (LESCM) for the fluid-rigid body interaction problems with free surface flow. Computer Methods in Applied Mechanics and Engineering, 2022, 398: 115238 doi: 10.1016/j.cma.2022.115238
    Amsden AA, Harlow FH. A simplified MAC technique for incompressible fluid flow calculations. Journal of Computational Physics, 1970, 6(2): 322-325 doi: 10.1016/0021-9991(70)90029-X
    关新燕, 富庆飞, 刘虎等. Oldroyd-B黏弹性液滴碰撞过程的数值模拟. 力学学报, 2022, 54(3): 644-652 (Guan Xinyan, Fu Qingfei, Liu Hu, et al. Numerical simulation of Oldroyd-B viscoelastic droplet collision. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(3): 644-652 (in Chinese)
    王悦柔, 王军锋, 刘海龙. 电场作用下气泡上升行为特性的数值计算研究. 力学学报, 2020, 52(1): 31-39 (Wang Yuerou, Wang Junfeng, Liu Hailong. Numerical simulation on bubble rinsing behaviors under electric field. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(1): 31-39 (in Chinese)
    Ngo LC, Dinh QN, Choi HG. High-order level set reinitialization for multiphase flow simulations based on unstructured grids. Computers & Mathematics with Applications, 2022, 120: 60-77
    Yu X, Zhou H, Jing S, et al. Combining level-set method and population balance model to simulate liquid−liquid two-phase flows in pulsed columns. Chemical Engineering Science, 2020, 226: 115851
    Zwicke F, Eusterholz S, Elgeti S. Boundary-conforming free-surface flow computations: interface tracking for linear, higher-order and isogeometric finite elements. Computer Methods in Applied Mechanics and Engineering, 2017, 326: 175-192
    Akkerman I, Meijer J, Eikelder MT. Isogeometric analysis of linear free-surface potential flow. Ocean Engineering, 2020, 201: 107-114
    Yan Y, Yue B. Dynamic analysis of the flexible spacecraft with liquid sloshing in axisymmetrical container. Journal of Spacecraft & Rockets, 2017, 55(1): 1-10
    Wang L, Hu Z, Zhong Z. Dynamic analysis of an axially translating plate with time-variant length. Acta Mechanica, 2010, 215(1-4): 9-23 doi: 10.1007/s00707-010-0290-0
    Liu F, Yue B, Zhao L. Attitude dynamics and control of spacecraft with a partially filled liquid tank and flexible panels. Acta Astronautica, 2017, 143: 327-336
    Chiba H, Magata H. Coupled pitching dynamics of flexible space structures with on-board liquid sloshing. Acta Astronautica, 2021, 181: 151-166 doi: 10.1016/j.actaastro.2020.11.002
    闫玉龙, 申云峰, 岳宝增. 含板类柔性附件的充液航天器动力学研究. 宇航学报, 2020, 41(5): 531-540 (Yan Yulong, Shen Yunfeng, Yue Baozeng. Research on dynamics of liquid filled spacecraft carrying plate type flexible appendages. Journal of Astronautics, 2020, 41(5): 531-540 (in Chinese)
    Gasbarri P, Sabatini M, Pisculli A. Dynamic modelling and stability parametric analysis of a flexible spacecraft with fuel slosh. Acta Astronautica, 2016, 127: 141-159
    Deng M, Yue B, Yu J. Position and attitude control of spacecraft with large amplitude propellant slosh and depletion. Journal of Aerospace Engineering, 2017, 30(6): 04017075
    尹立中, 刘敏, 王本利等. 矩形贮箱类液固耦合系统的平动响应研究. 振动工程学报, 2000, 13(3): 5

    Yin Lizhong, Liu Min, Wang Benli, et al. Study on dynamic response of the liquid-solid coupling system with the liquid in a rectangular container under horizontal excitation, Journal of Vibration Engineering, 2000, 13(3): 5 (in Chinese)
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