液固耦合系统中液体的有限幅晃动力及晃动力矩

研究弹簧－质量系统与圆柱贮箱类液体有限幅晃动系统间的非线性耦合动力学问题，在建立了六自由度非线性耦合动力学模型的基础上，导出了液体有限幅晃动力和力矩解析表达式，指 在终了构形上积分及压力表达式中的非线性项是有限幅晃动作用力，作用力矩非线性的根源．x,y方向结果之间良好的对称性在很大程度上证明了结果的正确性，通过耦合机理分析可知，这样的理论结果应具有较大的普适性，娄值仿真结果与有关实验结果进行了对比，分析认为，在终了构形上求晃动力，晃动力矩较为合理，舍去的高维模态底及高阶非线性项以及液体晃动阻尼的复杂性是导致偏差的重要原因。

Forces and Moments of the Liquid Finite Amplitude Sloshing in a Liquid-Solid Coupled System

Nonlinear coupling dynamics between a spring-mass system and a finite amplitude sloshing system with liquid in a cylindrical tank is investigated. Based on a group of nonlinear coupling equations of six degrees of freedoms, analytical formulae of forces and moments of the liquid large amplitude sloshing were obtained. Nonlinearity of the forces and moments of the sloshing was induced by integrating on final configuration of liquid sloshing and the nonlinear terms in the liquid pressure formula. The symmetry between the formula of ox and oy direction proves that the derivation is correct. According to the coupled mechanism, the formulae are available in other liquid-solid coupled systems. Simulations and corresponding experimental results arecompared. It is shown that the forces and moments formulae by integrating on the final sloshing configuration are more reasonable. The omitted high-dimensional modal bases and high-order nonlinear terms and the complexity of sloshing damping are main sources of errors.