摘要
为了揭示深海采矿水力输送过程中不规则粗颗粒与壁面碰撞的特征,建立了相应的随机反弹概率模型,为粗颗粒与壁面相互作用的数值分析提供了基础模型。采用粗颗粒自由落体试验和图像识别技术,对不同入射速度和入射角度下粗颗粒的随机反弹过程进行了试验研究。通过自定义MATLAB程序实现了粒子运动参数的自动提取与分析。基于概率统计分析和非线性回归方法,建立了不同入射速度和入射角度下粗颗粒随机反弹的解析预测模型。最后进行数值模拟,获得特定撞击条件下颗粒的随机反弹信息,并将文中模型预测与现有研究中模型给出的预测进行了比较。研究表明:正态分布和广义极值分布均可较好地描述粗颗粒随机反弹运动特征;粗颗粒在低入射角碰撞下除反弹模式外还有滑移-偏转的模式,随入射角的增加,随机反弹角的均值先略有下降,然后逐渐增加,而反弹角的离散度随入射角增加呈指数增加;对于速度恢复系数,随着入射角的增加,能量耗散增加,速度恢复系数减小,恢复系数的离散度略有增加;随着入射角的增加,角速度变化的均值遵循半正弦波函数,当入射角为45°时旋转最显著,旋转角速度的标准差先增大后减小。此外,数值重构时,应使用截断值以避免不合理的样本数据。
In order to reveal the characteristics of irregular coarse particle-wall collisions during deep-sea mining hydraulic transportation,a corresponding random rebound probability model was established,providing a foundational model for numerical analysis of coarse particle-wall interactions.Through coarse particle free-fall experiments and image recognition technology,experimental studies on the random rebound process of coarse particles under different incident velocities and incident angles were conducted.Particle motion parameters were automatically extracted and analyzed using custom MATLAB programs.Based on probability statistical analysis and nonlinear regression,analytical prediction models for the random rebound of coarse particles under different incident velocities and impact angles were established.Finally,numerical simulations were performed to obtain random rebound information of particles under specific impact conditions,and the predicted models were compared with those given by existing models.The study indicates that both normal distribution and generalized extreme value distribution can well describe the motion characteristics of coarse particle random rebound.Under low incident angle collisions,besides the rebound mode,coarse particles also exhibit a slip-deflection mode.With increasing incident angle,the mean of the random rebound angle first slightly decreases and then gradually increases,while the dispersion of rebound angles exponentially increases with the incident angle.Regarding the coefficient of restitution,as the incident angle increases,energy dissipation increases,leading to a decrease in the coefficient of restitution,with a slight increase in its dispersion.With increasing incident angle,the mean angular velocity change follows a semi-sinusoidal function,with the most significant rotation occurring at an incident angle of 45°,and the standard deviation of rotational velocity first increases and then decreases.Additionally,when numerically reconstructing,truncation values should be use
作者
王华昆
刘方舟
高婧
余杨
李彦豪
WANG Huakun;LIU Fangzhou;GAO Jing;YU Yang;LI Yanhao(College of Architecture and Civil Engineering,Xiamen University,Xiamen 361005,China;Fujian Key Laboratory of Digital Simulations for Coastal Civil Engineering,Xiamen University,Xiamen 361005,China;State Key Laboratory of Hydraulic Engineering Intelligent Construction Operation,Tianjin University,Tianjin 300072,China)
出处
《海洋工程》
CSCD
北大核心
2024年第4期96-109,共14页
The Ocean Engineering
基金
国家自然科学基金项目(52301339)
福建省自然科学基金项目(2021J05004)
中央高校基本科研业务费项目(20720240038)。
关键词
粗颗粒
随机反弹
图像识别
概率模型
深海采矿
coarse particles
random rebound
image recognition
probability model
deep-sea mining
