晃荡液舱内水动冲击力的分段仿射模型  

Piecewise affine model of hydrodynamic impact forces in sloshing tank

作　　者：熊先巍[1] 韦灼彬[1] 项成安[2] 张宁[1] 

机构地区：[1]海军工程大学勤务学院,天津300450 [2]重庆通信学院基础部,重庆400035

出　　处：《计算力学学报》2012年第5期795-799,810,共6页Chinese Journal of Computational Mechanics

基　　金：总后勤部(AY208J006)资助项目

摘　　要：针对舱内晃荡液体与舱壁的相互作用,对舱内水动冲击力的等效力学模型进行了研究。基于混合系统理论,建立了强非线性液体晃荡的等效摆分段仿射模型,重点对矩形液舱的简化等效力学模型进行了分析。利用计算流体动力学软件Flow3D对矩形液舱内的强非线性液体晃荡进行了数值仿真。理论分析表明:分段仿射模型更符合刚性碰撞的假定,可以更有效地描述等效摆和舱壁碰撞时的速度跃变。仿真结果的对比表明:受到激励时,等效摆分段仿射模型所产生的力与Flow3D计算的结果比较接近,利用此模型可以恰当地描述强非线性液体晃荡。To simulate the interaction between sloshing liquid and tank wall, mechanical equivalent models for hydrodynamic impact forces were studied. Based on the hybrid system theory, the piecewise affine systems model for strong nonlinear sloshing was developed. The study focused on a simplified model for rectangular tank. Numerical simulations were carried out for the strong nonlinear sloshing in rectangular tank, by using the computational fluid dynamics software Flow3D. Theoretically,the piecewise affine sys- tems model is more suitable to describe the velocity jumps and rigid collision. The developed equivalent model provides an acceptable level of accuracy to predict hydrodynamic forces as compared with the Flow3D data,and the model can properly simulate liquid sloshing with strong nonlinearity.

关 键 词：分段仿射 混合系统 液舱晃荡 水动冲击力 

分 类 号：U661.44[交通运输工程—船舶及航道工程]