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双连杆机械臂的差分离散和Noether对称性
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作者 夏丽莉 《北京信息科技大学学报(自然科学版)》 2018年第5期1-5,共5页
通过连续的变分原理,给出双连杆机械臂的Euler-Lagrange方程。将差分看成一个整体的几何对象,对连续的平面双连杆机械臂的模型进行保结构离散,得到双连杆机械臂的差分动力学方程的具体形式。通过离散的Noether定理,给出双连杆机械臂的No... 通过连续的变分原理,给出双连杆机械臂的Euler-Lagrange方程。将差分看成一个整体的几何对象,对连续的平面双连杆机械臂的模型进行保结构离散,得到双连杆机械臂的差分动力学方程的具体形式。通过离散的Noether定理,给出双连杆机械臂的Noether对称性判定方程和离散守恒量的具体形式。 展开更多
关键词 双连杆机械臂 保结构离散 差分变分原理 NOETHER定理
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Discrete Element Modeling of Debris Avalanche Impact on Retaining Walls 被引量:16
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作者 LI Xinpo HE Siming +1 位作者 LUO Yu WU Yong 《Journal of Mountain Science》 SCIE CSCD 2010年第3期276-281,共6页
In China,gravity retaining walls are widely used as protection structures against rockfalls,debris flows and debris avalanches along the roads in mountainous areas.In this paper,the Discrete Element Method(DEM) has be... In China,gravity retaining walls are widely used as protection structures against rockfalls,debris flows and debris avalanches along the roads in mountainous areas.In this paper,the Discrete Element Method(DEM) has been used to investigate the impact of granular avalanches and debris flows on retaining walls.The debris is modeled as two dimensional circular disks that interact through frictional sliding contacts.The basic equations that control the deformation and motion of the particles are introduced.A series of numerical experiments were conducted on an idealized debris slide impacting a retaining wall.The parametric study has been performed to examine the influences of slope geometry,travel distance of the sliding mass,wall position,and surface friction on the impact force exerted on the wall.Results show that:1) the force achieves its maximum value when slope angle is equal to 60°,as it varies from 30° to 75°;2) an approximate linear relationship between the impact force and the storage area length is determined. 展开更多
关键词 Debris flow debris avalanche rockfallretaining wall Discrete Element Method
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