上海交通大学 船舶海洋与建筑工程学院，上海 200240
School of Naval architecture, Ocean and Civil Engineering, Shanghai JiaoTong University,Shanghai 200240, China
The project supported by the National Natural Science Foundation of China(11772186, 11272203)
Considering the interaction between the rigid body and liquid, a dynamic model for a liquid-filled rigid body was established based on the smoothed particle hydrodynamics (SPH) method. Firstly, the equations of motion of the liquid sloshing were derived in the non-inertial frame, and then the boundary conditions were considered by using the virtual mirror particle method. The absolute acceleration of each fluid particle was calculated to obtain the principal vector and moment of the inertial forces applied on the particle with respect to the rigid body center. D’Alembert’s principle was employed to calculate the simplified slosh force and slosh torque with respect to the rigid body center through the equilibrium equation. Then, by taking into account the kinematic constraint equations, the dynamic equations of the liquid-filled rigid body were derived. Numerical simulations of the liquid-filled rigid body excited by a harmonic force were carried out to verify the proposed model, and then the rigid-liquid coupling characteristics were analyzed for different parameters. The results indicated that the proposed dynamic model is suitable for not only small-amplitude sloshing but also large-amplitude sloshing.
张诗琪,刘锦阳.基于SPH的充液刚体刚-液耦合动力学建模[J].动力学与控制学报,2020,18(4):86~94; Zhang Shiqi, Liu Jinyang. DYNAMIC MODELING FOR LIQUID-FILLED RIGID BODY BASED ON SMOOTHED PARTICLE HYDRODYNAMICS (SPH)METHOD[J]. Journal of Dynamics and Control,2020,18(4):86-94.复制