Abstract:In this investigation, a dynamic model for liquid-filled multi-body system with large-scale amplitude sloshing is established considering the rigid-liquid coupling effect. Firstly, the equations of motion of the liquid with large-scale amplitude sloshing described in the non-inertial frame are derived based on the Smoothed Particle Hydrodynamics Method (SPH method), and the boundary condition is considered by using the virtual particle method to avoid penetration and improve the accuracy of the free surface motion. In order to solve the accuracy problem of the existing repulsive boundary method, a new method is proposed for calculation of the slosh force and slosh torque. In such method, the acceleration of each particle is calculated to obtain the principal vector and the principal moment of the D’Alembert’s inertial forces applied on all of the particles with respect to the rigid body center. D’Alembert’s principle is employed to calculate the simplified slosh force and slosh torque with respect to the rigid body center through the equilibrium equation. Then, the rigid-liquid coupled dynamic equations are derived. The kinematic constraint equations are assembled into the system dynamic equations of the liquid-filled multi-body system. The validity of the dynamic model is verified through the simulation examples of the liquid sloshing and the tank truck in the process of braking.
张诗琪,刘锦阳. 考虑刚-液耦合的大幅晃动多体系统动力学建模与分析[J]. 振动与冲击, 2020, 39(18): 109-117.
ZHANG Shiqi,LIU Jinyang. Dynamic modeling and analysis of a liquid-filled multi-body system with large-scale amplitude sloshing considering the rigid-liquid coupling effect. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(18): 109-117.
[1] 樊伟. 考虑多场耦合的多体系统动力学[D]. 上海交通大学, 2013.
FAN Wei. Multi-field Coupling Dynamics for Multi-body System [D]. Shanghai Jiao Tong University, 2013.
[2] 岳宝增,于嘉瑞,吴文军. 多储液腔航天器刚液耦合动力学与复合控制[J]. 力学学报, 2017(02): 390-396.
YUE Bao-zeng, YU Jia-rui, WU Wen-jun. Rigid and liquid coupling dynamics and hybrid control of spacecraft with multiple propellant tanks [J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(2): 390-396.
[3] Rumold W. Modeling and Simulation of Vehicles Carrying Liquid Cargo[J]. Multibody System Dynamics, 2001, 5(4): 351-374.
[4] Mitra S, Upadhyay P P, Sinhamahapatra K P. Slosh dynamics of inviscid fluids in two-dimensional tanks of various geometry using finite element method[J]. International Journal for Numerical Methods in Fluids, 2008, 56(9): 1625-1651.
[5] Gingold R A, Monaghan J J. Smoothed particle hydrodynamics: theory and application to non-spherical stars[J]. Royal Astronomical Society, 1977(181): 375-389.
[6] 郑兴. SPH方法改进研究及其在自由面流动问题中的应用[D]. 哈尔滨工程大学, 2010.
ZHENG Xing. An Investigation of Improved SPH and Its Application for Free Surface Flow [D]. Harbin Engineering University, 2010.
[7] 刘富,童明波,陈建平. 基于SPH方法的三维液体晃动数值模拟[J]. 南京航空航天大学学报, 2010(01): 122-126.
LIU Fu, TONG Ming-bo, CHEN Jian-ping. Numerical Simulation of Three-Dimensional Liquid Sloshing Based on SPH Method [J]. Journal of Nanjing University of Aeronautics& Astronautics, 2010(01): 122-126.
[8] Rafiee A, Pistani F, Thiagarajan K. Study of liquid sloshing: numerical and experimental approach[J]. Computational Mechanics, 2011, 47(1): 65-75.
[9] Negrut D, Tasora A, Mazhar H, et al. Leveraging parallel computing in multibody dynamics[J]. Multibody System Dynamics, 2012, 27(1): 95-117.
[10] Monaghan J J. Smoothed particle hydrodynamics[J]. Rep. Prog. Phys., 2005(68): 1703-1759.
[11] Monaghan J J, Kos A. Solitary Waves on a Cretan Beach[J]. JOURNAL OF WATERWAY, PORT, COASTAL, AND OCEAN ENGINEERING, 1999(125): 145-155.
[12] Monaghan J J. Simulating Free Surface Flows with SPH[J]. Journal of Computational Physics, 1994, 110(2): 399-406.