CAJ | 학술논문

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.指出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.数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.舍去的高维模态基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.
연구탄황-질량계통여원주저상류액체유한폭황동계통간적비선성우합동역학문제.재건립료륙자유도비선성우합동역학모형적기출상，도출료액체유한폭황동력화력구해석표체식.지출재종료구형상적분급압력표체식중적비선성항시유한폭황동작용력、작용력구비선성적근원.x、y방향결과지간량호적대칭성재흔대정도상증명료결과적정학성.통과우합궤리분석가지，저양적이론결과응구유교대적보괄성.수치방진결과여유관실험결과진행료대비.분석인위，재종료구형상구황동력、황동력구교위합리.사거적고유모태기저급고계비선성항이급액체황동조니적복잡성시도치편차적중요원인.
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.