| Citation: | LIANG Lifu, GUO Qingyong. Elastic-liquid coupling in aerospace rigid-elastic-liquid coupling system[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(2): 243-251. doi: 10.13700/j.bh.1001-5965.2018.0286(in Chinese)
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This paper focuses on the elastic-liquid coupling problem in the rigid-elastic-liquid coupling dynamics. It is an important topic related to researches on mechanism and large-scale modeling and calculation of liquid-solid coupling in the aerospace rigid-elastic-liquid coupling system. Based on the analysis of the function of the quasi-variational principles for the rigid-elastic-liquid coupling dynamics, characteristics for rigid-elastic coupling, rigid-liquid coupling and elastic-liquid coupling in the rigid-elastic-liquid coupling system were illustrated. Inter-element boundary conditions were plugged into the function by Lagrange multiplier method and the mechanization of the elastic-liquid coupling was illustrated step by step through the identification of Lagrange multipliers. Solving stationary values of function shows that inter-element boundary conditions convert from preconditions to stationary value conditions. It realizes the transition from compatible element model to the hybrid element model. Through analysis on stationary value conditions before and after identification of Lagrange multipliers, it is shown that the identified Lagrange multipliers can effectively reduce the degree of freedom for calculation.
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