滚动问题的DDA模拟  

DDA Simulation for Rolling Disk

作　　者：陈孚[1] 喻勇[1] 

机构地区：[1]西南交通大学力学与工程学院应用力学与结构安全四川省重点实验室,四川成都610031

出　　处：《西南科技大学学报》2016年第3期102-106,共5页Journal of Southwest University of Science and Technology

基　　金：长江科学院开放研究基金资助项目(CKWV2014206/KY)

摘　　要：对非刚性圆盘DDA理论进行了介绍,对圆盘位移公式进行了修正。提出了单个圆盘与凸角接触的处理方法,并给出了圆盘在折边上运动时接触种类的判别方法。编写了圆盘在斜面上运动问题的两个算例程序,以验证圆盘DDA理论的有效性和不足之处。使用罚函数法处理圆盘与边界接触,并使用开闭迭代提高计算精度。针对模拟碰撞过程的能量突变问题,提出用变刚度方法控制碰撞中的能量损失,对保持圆盘在碰撞前后动量守恒的方法进行了讨论。The theory of non - rigid disk - based DDA is presented and the displacement formula is revised. A model for dealing with the contact between a disc and a convex angle is presented. For discs move on a compound inclined plane, a method for identifying contact type is also presented. The disk - based DDA program was developed and its validity and capability were demonstrated by several illustrative examples. The penalty function method is used to deal with the contact, and the open close iteration is used to im-prove the accuracy of simulation. Variable stiffness is used to control the energy loss in the collision process, and the method of keeping conservation of disc momentum before and after the collision is discussed.

关 键 词：数值方法 不连续变形分析 接触模型 变刚度 滚动 

分 类 号：O316[理学—一般力学与力学基础] O175[理学—力学]