平放圆柱体内液体晃动特性及横向受力分析
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摘要
基于势流理论研究平放圆柱形贮箱内任意充液比液体晃动问题,用Galekin方法求解该边值问题。研究液体自由晃动问题求出满足边界条件的势函数空间项,分析液体晃动频率随充液比例和半径变化的情况,并与实验结果进行了对比,吻合良好。在液体强迫晃动中从自由液面动力学方程出发消掉空间项得到势函数时间项n阶微分方程并数值求解。推导了液体作用在贮箱上的横向力,并计算不同充液比时地震加速度激励下的贮箱受力。
Liquid sloshing of arbitrary proportional liquid-filled cylindrical tank is investigated based on Potential Flow Theory.The boundary value problem is solved by the Galekin method.Sloshing frequencies changed along with the liquid-filled proportions and radiuses are discussed in the free vibration,and the calculation results are compared with the experimental data,the two results have a good agreement.In addition,forced vibration is also discussed to found the time-items from the dynamic equation at the free surface.The method of solving forces acting on tank filled with arbitrary proportional liquid is established.The transverse forces acting on tank are calculated,especially at differential liquid-filled proportions under the seismic excitation.
Liquid sloshing of arbitrary proportional liquid-filled cylindrical tank is investigated based on Potential Flow Theory.The boundary value problem is solved by the Galekin method.Sloshing frequencies changed along with the liquid-filled proportions and radiuses are discussed in the free vibration,and the calculation results are compared with the experimental data,the two results have a good agreement.In addition,forced vibration is also discussed to found the time-items from the dynamic equation at the free surface.The method of solving forces acting on tank filled with arbitrary proportional liquid is established.The transverse forces acting on tank are calculated,especially at differential liquid-filled proportions under the seismic excitation.
引文
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2王照林,刘延柱.充液系统动力学.北京:科学出版社,2002
3包光伟.平放柱形贮箱内液体晃动的等效力学模型.上海交通大学学报,2003;(12):1961—1964
4王耘,王照林.微重条件下平放圆柱形腔体内液体晃动问题.宇航学报,1986;7(4):40—55
5Papaspyrou S.Response of half-full horizontal cylinders under trans-verse excitation.Journal of Fluids and Structures,2004;(19):985—1003
6王勇.考虑液体晃动的三大件转向架罐车耦合系统动力学性能研究.西南交通大学,2004
7李松,高芳请,杨翊仁,等.液体晃动有限元模态分析及试验研究.核动力工程,2007;28(4):54—57
2王照林,刘延柱.充液系统动力学.北京:科学出版社,2002
3包光伟.平放柱形贮箱内液体晃动的等效力学模型.上海交通大学学报,2003;(12):1961—1964
4王耘,王照林.微重条件下平放圆柱形腔体内液体晃动问题.宇航学报,1986;7(4):40—55
5Papaspyrou S.Response of half-full horizontal cylinders under trans-verse excitation.Journal of Fluids and Structures,2004;(19):985—1003
6王勇.考虑液体晃动的三大件转向架罐车耦合系统动力学性能研究.西南交通大学,2004
7李松,高芳请,杨翊仁,等.液体晃动有限元模态分析及试验研究.核动力工程,2007;28(4):54—57
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